NO LINKS!! URGENT HELP PLEASE!!
Use the parallelogram ABCD to find the following.
8. part 2

b. AE=

d. m<DCB=

f. m<ADC= ​

NO LINKS!! URGENT HELP PLEASE!!Use The Parallelogram ABCD To Find The Following.8. Part 2b. AE=d. M&lt;DCB=

Answers

Answer 1

Answer:

b. 7

d. 120°

f. 60°

Step-by-step explanation:

The properties of a parallelogram are:

Opposite sides are parallel and congruent.Opposite angles are equal.Adjacent angles are supplementary.The diagonals bisect each other.The sum of the interior angles is 360 degrees.

For Question:

b.

AE=CE=7 since diagonals of parallelogram bisect each other

d.

m ∡ DCB= m ∡DAB=120° Opposite angle in a parallelogram is congruent or equal.

f.

m ∡ ADC=?

Here

m ∡ADC+ m ∡DAB=180° being co interior angle

m ∡ADC+120°=180°

m ∡ADC=180°-120°=60°

m ∡ADC=60°

Answer 2

Answer:

b)  AE = 7

d)  m∠DCB = 120°

f)  m∠ADC = 60°

Step-by-step explanation:

Part b

The diagonals of a parallelogram always bisect each other.

Therefore, point E (the point of intersection of the two diagonals) is the midpoint of diagonal AC.  So AE = EC.

As EC = 7, then AE = 7.

[tex]\hrulefill[/tex]

Part d

As the measure of the opposite angles of a parallelogram are equal, then m∠DCB is equal to m∠DAB. From inspection of the given parallelogram, we can see that m∠DAB = 120°. Therefore:

m∠DCB = 120°

[tex]\hrulefill[/tex]

Part f

Adjacent angles of a parallelogram are supplementary (sum to 180°).

Angle DAB and angle ADC are adjacent angles, so their sum is 180°.

Therefore:

⇒ m∠ADC + m∠DAB = 180°

⇒ m∠ADC + 120° = 180°

⇒ m∠ADC + 120° - 120° = 180° - 120°

m∠ADC = 60°


Related Questions

Suppose that the relation H is defined as follows. H = {(9, 3), (8, p), (3, q), (8, 0)) Give the domain and range of H. Write your answers using set notation. ​

Answers

Answer:

See below

Step-by-step explanation:

Domain would be all the x-values, so this is {3, 8, 8, 9}
Range would be all the y-values, so this is {0, 3, p, q}

Tell whether the information in the diagram allows you to conclude that c is on the perpendicular bisect of ab

Answers

11. Yes, the information provided can be used to conclude that C is on the perpendicular bisector of AB because CE bisects AB.

12. Yes, the information provided can be used to conclude that C is on the perpendicular bisector of AB because C is equidistant from AB.

What is a perpendicular bisector?

In Mathematics and Geometry, a perpendicular bisector divides or bisects a line segment exactly into two (2) equal halves, in order to form a right angle with a magnitude of 90° at the point of intersection.

Question 11.

By critically observing the geometric shape, we can logically deduce that there is enough information to conclude that C is on the perpendicular bisector of AB because CE bisects AB:

AC ≅ BC

CD ≅ CD

AE ⊥ EC

Question 12.

By critically observing the geometric shape, we can logically deduce that there is enough information to conclude that C is on the perpendicular bisector because C is equidistant from line segment AB.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

help please its due in 50 minutes ill mark brainliest answer too and no need to show work

Answers

The height, h, of the cylinder is approximately 1.27 centimeters when the volume is 100 cm^3 and the radius is 5 cm, rounded to the nearest tenth.

To find the height, h, of the cylinder, we can rearrange the formula for the volume of a cylinder:

V = πr^2h

Given that the volume, V, is 100 cm^3 and the radius, r, is 5 cm, we can substitute these values into the formula:

100 = π(5^2)h

Simplifying further:

100 = 25πh

To solve for h, divide both sides of the equation by 25π:

100 / (25π) = h

To calculate the value, we'll use an approximation for π as 3.14:

100 / (25 * 3.14) ≈ h

Simplifying:

100 / 78.5 ≈ h

h ≈ 1.27 cm

Therefore, when the volume is 100 cm3 and the radius is 5 cm, the cylinder's height, h, is about 1.27 centimetres, rounded to the closest tenth.

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3. Pi is defined as the ratio of the circumference of a circle to the diameter of that circle. Which of the following correctly explains why the formula for the circumference of a circle is 2 mr 7 (1 point)

Two times equals the distance from one side of the circle to the other. When you multiply that by r, you get the distance around the circle, or the circumference.

Pi times requals the diameter of the circle. The diameter is half the circle, so when you multiply it by 2, you get the distance around the entire circle, or the circumference.

Two times requals the diameter of the circle. Pi is needed for all circle formulas, so you multiply by since you are finding the circumference.

Two times requals the diameter of the circle. Pi equals the circumference divided by the diameter. When you multiply, the diameter is in both the numerator and the denominator, which cancels out, leaving the circumference.​

Answers

Answer:

The correct answer is "Two times r equals the diameter of the circle. When you multiply that by pi, you get the distance around the circle, or the circumference." This is because the circumference of a circle is equal to the distance around it, which is the same as the length of its perimeter. The diameter of a circle is the straight line that passes through the center of the circle and touches both sides. Therefore, if you multiply the diameter by pi, which is the ratio of the circumference to the diameter of a circle, you get the circumference. Alternatively, you can also use the formula C = 2πr, where C is the circumference and r is the radius of the circle. Since the radius is half the diameter, the formula can also be stated as C = πd, where d is the diameter of the circle.

Step-by-step explanation:

The correct explanation for the formula for the circumference of a circle is: Two times the radius (2r) equals the diameter of the circle. When you multiply that by π (pi), you get the distance around the entire circle, or the circumference.

The shaded part of the circle represents the part of gas used to fill up the gas tank of a lawn mower what part of the container is needed to fill up the gas tank of the lawn mower 4 times is the answer 8/48 8/12 6/16 or 6/12

Answers

The fraction of the container needed to fill up the gas tank of the lawn mower four times is 6/12. Option D.

The shaded part of the circle represents the fraction of gas needed to fill up the gas tank of the lawn mower once. To determine the fraction needed to fill it up four times, we can simply multiply the fraction by 4.

Let's assume that the shaded part of the circle represents x part of the whole container. Therefore, the fraction needed to fill up the gas tank of the lawn mower once is x.

To fill up the gas tank four times, we need to multiply x by 4. Therefore, the fraction needed to fill up the gas tank four times is 4x.

Now, we can compare this to the answer choices given:

8/48: This can be simplified to 1/6, which is not equal to 4x.

8/12: This can be simplified to 2/3, which is not equal to 4x.

6/16: This can be simplified to 3/8, which is not equal to 4x.

6/12: This can be simplified to 1/2, which is equal to 4x.

Therefore, the correct answer is 6/12, which represents the fraction of the container needed to fill up the gas tank of the lawn mower four times. so Option D is correct.

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Note the complete question is

Evaluate the following expression when a = 5 and b = 1. Then, plot the resulting value on the provided number line. 12+2 (4 a²) ÷ 7 + 8

Answers

Answer:

To evaluate the expression when a = 5 and b = 1, we substitute the values into the expression:

12 + 2(4(5)²) ÷ 7 + 8

= 12 + 2(4 * 25) ÷ 7 + 8 (Note: 5² means 5 raised to the power of 2)

= 12 + 2(100) ÷ 7 + 8 (Note: 4 * 25 = 100)

= 12 + 200 ÷ 7 + 8

= 12 + 28.57 + 8 (Note: ÷ means divide)

= 48.57

To plot the resulting value on the provided number line , we would need to know the scale and range of the number line. Without this information, we cannot accurately plot the value.

Step-by-step explanation:

To evaluate the expression when `a=5` and `b=1`, we simply substitute these values into the expression and simplify using the order of operations (PEMDAS):
```
12 + 2(4a^2)÷7 + 8
= 12 + 2(4(5)^2)÷7 + 8 (substituting a=5)
= 12 + 2(4(25))÷7 + 8 (evaluating 5^2 = 25)
= 12 + 2(100)÷7 + 8
= 12 + 28.57 + 8 (evaluating 2(100)÷7 = 28.57)
= 48.57
```
So the value of the expression when `a=5` and `b=1` is `48.57`.

To plot this value on a number line, we first need to determine the appropriate scale for the number line. Since the value we obtained is between 40 and 50, we can use a scale of 1 unit per tick mark. We then draw a number line and label it with tick marks at appropriate intervals. Finally, we plot the value `48.57` on the number line:
```
|-------------------------------------------
40 50
x=48.57
```
Therefore, the value of the given expression when `a=5` and `b=1` is `48.57` and we have plotted it on the number line.

B
E
7
4
3
1
-2 -1 0
D
Determine the line of reflection.
O Reflection across x = 4
Reflection across y = 4
Reflection across the x-axis
Reflection across the y-axis
3
4
C
D'
8
E'
9
10
B'
A'
11

Answers

Answer: 10

Step-by-step explanation: it is a 5+ 5 =

pls pls pls help
Based on the graph of F(x) below, which of the following statements is true
about F(x)?

Answers

The correct statement regarding the relative extremas of F(x) is given as follows:

F(x) has a relative maximum at x = -1 and a relative minimum at x = -0.8.

What are the relative minimums and the relative maximums of a function?

The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.

Hence the extremas for this problem are given as follows:

Maximum: x = -1.Minimum: x = 0.8.

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Estimate the variation (strength) of the correlation of the scatter plot shown.

a.
moderate correlation

b.
no correlation

c.
strong correlation

d.
weak correlation


need now mamayang 11pm na pasahan

Answers

The strength of the correlation as shown in the scatter plot can be concluded to be: b) no correlation.

How to Estimate the variation (strength) of the correlation of a scatter plot shown?

To estimate the strength of the correlation in a scatter plot, visually assess the clustering and linearity of the data points. If the points cluster tightly around a linear trend, it indicates a strong correlation, whereas dispersed and non-linear points suggest a weak correlation.

However, if the points on a scatter plot do not exhibit a discernible pattern (as shown in the image given above), it can be concluded that there is no correlation between the variables being plotted.

Therefore, the answer is: b. no correlation.

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NO LINKS!! URGENT HELP PLEASE!!

Please help with #4​

Answers

Step-by-step explanation:

Let the statement be:

"If p, then q"

The converse of a statement is:

"If q, then p"

Let's try it for each statement and see if the converse is true.

a) The converse is:

If the interior angles sum to 180°, then my shape is a triangle.

It is true.

b) The converse  is:

If alternate interior angles are equal, the two lines are parallel.

It is true.

c) The converse is:

If I have a Rhombus, then I also have a Square.

It is false, since not all rhombus have four right angles.

d) The converse is:

If I have a shape with four right angles, then I have a rectangle.

It is false, since it could be a square.

a. Converse: If the interior angles sum to 180°, then my shape is a triangle. (Converse is not true)

b. Converse: If alternate interior angles are equal, then the lines are parallel. (Converse is true)

c. Converse: If I have a Rhombus, then I also have a Square. (Converse is not true)

d. Converse: If I have a shape with four right angles, then I have a rectangle. (Converse is true)

a. Converse: If the interior angles of a shape sum to 180°, then the shape is a triangle.

The converse of this statement is not true. There are many shapes other than triangles whose interior angles sum to 180°, such as quadrilaterals and polygons with more than four sides.

b. Converse: If alternate interior angles of two lines are equal, then the lines are parallel.

The converse of this statement is true. If the alternate interior angles of two lines are equal, then the lines are parallel. This is a property of parallel lines and can be proven using the corresponding angles postulate.

c. Converse: If I have a Rhombus, then I also have a Square.

The converse of this statement is not true. While all squares are rhombuses (a square is a special type of rhombus), not all rhombuses are squares. A rhombus is a quadrilateral with all sides of equal length, but its angles can be anything other than 90°.

d. Converse: If I have a shape with four right angles, then I have a rectangle.

The converse of this statement is true. If a shape has four right angles, then it is a rectangle. This is a defining characteristic of rectangles, as all rectangles have four right angles.

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The complete question is :

Write the converse of each statement and determine if the converse is true.

a. If my shape is a triangle, then the interior angles sum to 180°.

b. If two lines are parallel, then alternate interior angles are equal.

c. If I have a Square, then I also have a Rhombus.

d. If I have a rectangle, then I have a shape with four right angles.

what are the three arithmetic means between 10 and 130

Answers

The three arithmetic means between 10 and 130 are 40, 70, and 100.

To find the three arithmetic means between 10 and 130, we need to calculate the common difference between consecutive terms.

The common difference (d) can be found using the formula:

d = (last term - first term) / (number of terms - 1)

In this case, the first term is 10, the last term is 130, and we need to find three arithmetic means.

d = (130 - 10) / (3 + 1) = 120 / 4 = 30

Now, we can calculate the three arithmetic means by adding the common difference to the previous term:

First arithmetic mean = 10 + 30 = 40

Second arithmetic mean = 40 + 30 = 70

Third arithmetic mean = 70 + 30 = 100

So 40, 70, and 100 are the three arithmetic means between 10 and 130.

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Please answer ASAP I will brainlist

Answers

(a) The average cost in 2011 is  $2247.64.

(b) A graph of the function g for the period 2006 to 2015 is: C. graph C.

(c) Assuming that the graph remains accurate, its shape suggest that: A. the average cost increases at a slower rate as time goes on.

How to estimate the average cost in 2011?

Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:

g(x) = -1736.7 + 1661.6Inx

where:

x = 6 corresponds to the year 2006.

For the year 2011, the average cost (in dollars) is given by;

x = (2011 - 2006) + 6

x = 5 + 6

x = 11 years.

Next, we would substitute 11 for x in the function:

g(11) = -1736.7 + 1661.6In(11)

g(11) = $2247.64

Part b.

In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.

Part c.

Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.

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3
Which expression is equivalent to -x--xy?
2x-xy?
4
x(3-y)
4x(3-y)
x(3+y)
4x(3 + y)

Answers

The expression equivalent to -x--xy is 4x(3 + y).

To simplify the expression -x--xy, we can apply the rules of combining like terms and distribute the negative sign.

-x - (-xy)

Removing the double negative:

-x + xy

Factoring out the common factor of x:

x(-1 + y)

Now, let's compare the simplified expression with the given options:

Option 1: 2x - xy

This expression is not equivalent to -x - (-xy) as it includes an additional term of 2x.

Option 2: x(3 - y)

This expression is equivalent to the simplified expression x(-1 + y), as it represents the distribution of x over the terms inside the parentheses.

Option 3: 4x(3 - y)

This expression is not equivalent to -x - (-xy) as it includes the constant term 4.

Option 4: x(3 + y)

This expression is not equivalent to -x - (-xy) as it includes the positive sign before the y term.

Option 5: 4x(3 + y)

This expression is not equivalent to -x - (-xy) as it includes the constant term 4 and the positive sign before the y term.

From the given options, the expression that is equivalent to -x - (-xy) is:

Option 2: x(3 - y).

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Jenny is watching her favorite soccer team playing a match. The odds against her favorite team winning are 7/10. What is the probability of her favorite team winning?

Answers

Answer:

70%

Step-by-step explanation:

A given city is at 35°S and 200°W. How far is it from this city to A. the North Pole and B. the Equator C. the south pole

Answers

The distance from the given city to the South Pole is 125 degrees of latitude.

To determine the distance from the given city to various locations, we need to consider the latitude and longitude coordinates.

Distance to the North Pole:

The North Pole is located at 90°N latitude. Since the given city is at 35°S latitude, we need to calculate the difference in latitude between the city and the North Pole.

Distance to the North Pole = 90° - 35° = 55°

The distance from the given city to the North Pole is 55 degrees of latitude.

Distance to the Equator:

The Equator is located at 0° latitude. To determine the distance from the city to the Equator, we need to calculate the absolute value of the latitude of the city.

Distance to the Equator = |35°| = 35°

The distance from the given city to the Equator is 35 degrees of latitude.

Distance to the South Pole:

The South Pole is located at 90°S latitude. Since the given city is at 35°S latitude, we need to calculate the difference in latitude between the city and the South Pole.

Distance to the South Pole = 35° - (-90°) = 35° + 90° = 125°

The distance from the given city to the South Pole is 125 degrees of latitude.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The value of x in ΔSTU is in the range (2, 32).

Given that ΔSTU is a triangle,

ST = 15,

US = x,

UT = 17.

We need to find the length of x in the triangle STU.

To solve this question, we need to apply the triangle inequality theorem.

According to the theorem, the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Therefore, using this theorem, we get:

ST + US > UT => 15 + x > 17

=> x > 17 - 15

=> x > 2US + UT > ST

=> x + 17 > 15 => x > 15 - 17

=> x > -2UT + ST > US

=> 17 + 15 > x

=> 32 > x

In this case ST = 15, US = x, UT = 17. Let's apply the triangle inequality to the sides of the triangle STU:

ST + US > UT

15 + x > 17

Simplify the inequality:

x > 17 - 15

x > 2

Triangle STU is valid The length of US(x) must be greater than 2 to be a perfect triangle.

However, without further information, we cannot determine the exact value of x.

You can specify any value greater than 2.

Therefore, from the above conditions, we conclude that 2 < x < 32.

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find the volume of a cube whose diagonal is 4√2​

Answers

The volume of the cube with a diagonal of 4√2 is 64 cubic units.

To find the volume of a cube, we need to know the length of its side. In this case, we are given the length of the diagonal, which we can use to find the side length.

Let's assume the side length of the cube is represented by "s". We know that the diagonal of a cube forms a right triangle with two sides of equal length, which are the sides of the cube.

Using the Pythagorean theorem, we can set up the equation:

s² + s² = (4√2)²

Simplifying the equation:

[tex]2s² = 32[/tex]

Dividing both sides by 2:

[tex]s² = 16[/tex]

Taking the square root of both sides:

[tex]s = 4[/tex]

Now that we have the side length of the cube, we can find the volume by cubing the side length:

Volume = s³ = 4³ = 64 cubic units.

Therefore, the volume of the cube with a diagonal  of 4√2 is 64 cubic units.

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The volume of the cube whose diagonal is 4√2 is 128√2 cubic units.

To find the volume of a cube, we need to know the length of its side. Given that the diagonal of the cube is 4√2, we can use this information to determine the side length.

In a cube, the diagonal is related to the side length (s) by the equation:

diagonal = s√3

The given diagonal is 4√2. So we can set up the equation:

4√2 = s√3

To find s, we can divide both sides of the equation by √3:

s = (4√2) / √3

To simplify this expression, we can rationalize the denominator by multiplying both the numerator and denominator by √3:

s = (4√2 ׳ √3) / (√3 × √3)

s = (4√6) / √3

Now, let's calculate the value of s:

s = (4√6) / √3

s = (4/√3) × √6

s = (4/√3) × (√3 × √2)

s = 4√2

So the side length of the cube is 4√2.

Now, to calculate the volume of the cube, we use the formula:

Volume = side^3

Volume = (4√2)³

Volume = 4³ × (√2)³

Volume = 64 × 2√2

Volume = 128√2

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What is the solution to the equation below In X=3.1

Answers

Answer:

the solution would be X=3 as 3.1 represents 3×1.

En la tabla se muestra la cantidad de zapatos vendidos en 1 almacén durante una semana, calcula las medidas de tendencia central y realiza el análisis correspondiente

Answers

Based on the information, we can infer that the mean is 14.28, the median is 15, and there is no unique mode (several repeated values).

How to calculate measures of central tendency?

To calculate the measures of central tendency, we will use the data provided in the table. The pairs of shoes sold on each day are as follows: 10, 14, 15, 12, 16, 18, 16.

Mean:

The mean is calculated by adding all the values and dividing by the total number of items.

Mean = (10 + 14 + 15 + 12 + 16 + 18 + 16) / 7 = 101 / 7 = 14.28

Median:

The median is the value in the middle of an ordered data set. To calculate it, we first order the values from smallest to largest.

10, 12, 14, 15, 16, 16, 18

Since there are an odd number of values, the median is the value in the middle position, which in this case is 15. Therefore, the median is 15.

Mode:

The mode is the value that occurs most frequently in a data set. In this case, there is no value that is repeated more times than the others. The values 16 and 12 are repeated twice each, but there is no single mode. Therefore, there is no single mode in this data set.

Note: Here is the question in English:

The table shows the number of shoes sold in 1 store during a week, calculates the measures of central tendency, and perform the corresponding analysis.

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What is the square root of m^6?


m^4
m^5

Answers

The square root of m^6 is always positive.

The square root of m^6 can be calculated by dividing the exponent 6 by 2, since taking the square root is equivalent to raising a number to the power of 1/2.

In this case, m^6 divided by 2 gives us m^3.

Thus, the square root of m^6 is m^3.

This means that if we square m^3, the result will be m^6.

It is important to understand that the square root operation yields the positive root, so the square root of m^6 is always positive.

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The length of ribbons found at a seamstress are listed.

3, 11, 11, 13, 13, 21

What is the appropriate measure of variability for the data shown, and what is its value?

The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.

Answers

The appropriate measure of variability for the given data is the range, which is the difference between the maximum and minimum values in the dataset. In this case, the range is calculated as 21 - 3 = 18. The range provides a straightforward and intuitive measure of how spread out the data is. The other options (mean, median, and IQR) are measures of central tendency or spread and may not capture the full range of variability in this dataset. Therefore, the correct answer is C. The range is the best measure of variability, and its value is 18.

recursive formula for an=1/8(2)n-1

Answers

Answer:

The recursive formula for an=1/8(2)n-1 is:

a1=1/8 an+1=1/8(2)(n)

This formula defines a sequence where each term is equal to 1/8 of the previous term multiplied by 2.

Step-by-step explanation:

The cost to buy p pounds of potatoes at $0.32 per pound and n
pounds of onions at $0.48 per pound can be determined by using
the expression 0.32p + 0.48n. How much will it cost to buy 4.5
pounds of potatoes and 2.5 pounds of onions?

Answers

Answer: $2.64
$1.44 for potatoes
$1.22 for onions

What is the degree in leading coefficient of f(x) equals 3X -5

Answers

Answer:

1

Step-by-step explanation:

The degree of a polynomial is the exponent of the varieble x. So the exponent of x in that function is 1.

NO LINKS!! URGENT HELP PLEASE!!

Please help with 37​

Answers

Answer:

Step-by-step explanation:

all circles have same round shape with no edges and corners so they all are similar in terms of their shape and appearance but not all the circles are congruent.

two circles are congruent if they have the same measurements of radius, circumference, diameter as well as the surface area. So, to determine whether the two circles are congruent or not we have to perform the calculations.

There are 29 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, and Treasurer?

Answers

To determine the number of different ways to choose the President, Vice President, and Treasurer from a homeroom of 29 students, we can use the concept of permutations.

Since the positions of President, Vice President, and Treasurer are distinct, we can consider them as three separate positions to be filled.

The number of ways to choose a President from 29 students is 29.
After choosing the President, there are 28 students remaining.
The number of ways to choose a Vice President from the remaining 28 students is 28.
After choosing the Vice President, there are 27 students remaining.
The number of ways to choose a Treasurer from the remaining 27 students is 27.

To find the total number of different ways, we multiply the number of choices for each position:

29 * 28 * 27 = 21,924

Therefore, there are 21,924 different ways to choose the President, Vice President, and Treasurer from a homeroom of 29 students.

Determine the domain of the following graph:

Answers

Answer:

-9 is less than x, which is less than or equal to 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain is where the function exists for x.

The functions domain goes in terms of x goes from -9 to 11 not including -9 and including 11.

Interval notation:

-9 < x ≤ 11

Set notation:

(-9, 11]

(2x5)(10x−2) simplified

Answers

Answer:

200x - 40 (5x-1)

Step-by-step explanation:

2 x 10 = 20

20 x 10 = 200

20 x -2 = -40

200 - 40 = 100 - 20, 50 - 10, 20 - 4, 10 - 2, 5 -1

so the answer is either 5x - 1 or 200x - 40

Please awnser asap I will brainlist

Answers

The result of the row operation on the matrix is given as follows:

[tex]\left[\begin{array}{cccc}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right][/tex]

How to apply the row operation to the matrix?

The matrix in this problem is defined as follows:

[tex]\left[\begin{array}{cccc}2&0&0&16\\0&8&0&3\\0&0&5&6\end{array}\right][/tex]

The row operation is given as follows:

[tex]R_1 \rightarrow \frac{1}{2}R_1[/tex]

The first row of the matrix is given as follows:

[2 0 0 16]

The meaning of the operation is that every element of the first row of the matrix is divided by two.

Hence the resulting matrix is given as follows:

[tex]\left[\begin{array}{cccc}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right][/tex]

More can be learned about matrices at https://brainly.com/question/2456804

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Please answer ASAP I will brainlist

Answers

Answer:

Step-by-step explanation:

(a) To find the linear cost function C(x), we need to consider the fixed cost and the marginal cost. The fixed cost is $100, and the marginal cost is $8 per pair of earrings.

The linear cost function can be represented as C(x) = mx + b, where m is the slope (marginal cost) and b is the y-intercept (fixed cost).

In this case, the slope (m) is $8, and the y-intercept (b) is $100. Therefore, the linear cost function is:

C(x) = 8x + 100.

(b) The average cost function (AC) can be found by dividing the total cost (C(x)) by the number of units produced (x):

AC(x) = C(x) / x.

Substituting the linear cost function C(x) = 8x + 100, we have:

AC(x) = (8x + 100) / x.

(c) To find C(5), we substitute x = 5 into the linear cost function:

C(5) = 8(5) + 100

= 40 + 100

= 140.

Interpretation: C(5) = 140 means that when the artist produces 5 pairs of earrings, the total cost (including fixed and variable costs) is $140.

(d) To find C(50), we substitute x = 50 into the linear cost function:

C(50) = 8(50) + 100

= 400 + 100

= 500.

Interpretation: C(50) = 500 means that when the artist produces 50 pairs of earrings, the total cost (including fixed and variable costs) is $500.

(e) The horizontal asymptote of C(x) represents the cost as the number of units produced becomes very large. In this case, the marginal cost is constant at $8 per pair of earrings, indicating that as the number of units produced increases, the cost per unit remains the same.

Therefore, the horizontal asymptote of C(x) is $8, indicating that the average cost per pair of earrings approaches $8 as the number of units produced increases indefinitely.

In practical terms, this means that for every additional pair of earrings produced beyond a certain point, the average cost will stabilize and remain around $8, regardless of the total number of earrings produced.

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