A quadrilateral
is a polygon with four sides. Consider
the quadrilateral and the dashed segment. What is the sum
of the measures of the four interior angles of this quadrilateral?
Draw a different quadrilateral. Can you guess the sum
of the measures of its angles? Is it possible to generalize about
the angles of a quadrilateral?

Answers

Answer 1

Whatever the case a quadrilateral has always a sum of interior angles = 360°.

What is quadrilateral?

A quadrilateral is a closed shape in geometry that is created by connecting four points, any three of which cannot be collinear. A quadrilateral has four sides, four angles, and four vertices. The word "quadrilateral" is derived from the Latin words "quadra" (four) and "latus" (sides). A quadrilateral may or may not have equal lengths on each of its four sides.

A quadrilateral is a polygon with four sides, four angles, and four vertices. The arrangement of the vertices must be considered whenever a quadrilateral is named. For instance, the following quadrilateral should be referred to as ABCD, BCDA, ADCB, or DCBA. Since they alter the order of vertices in which a quadrilateral is formed, it cannot be called ACBD or DBAC.

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Related Questions

someone help me with this PLEASE FOR ALG 2 exponential functions

Answers

Answer:

a) exponential decay

b) $1000

c)not sure

Step-by-step explanation:

a) depreciates means disapprovel so its going down

b) 20000×0.05=1000

What is the length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in?

Answers

The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).

In this case, a = b = 9 in, so:

c2 = 92 + 92

c2 = 81 + 81

c2 = 162

c = √162

c = 12.73 in

The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.

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1. Which of these pairs of quantities are proportional to each other? For the quantities that are
proportional, what is the constant of proportionality?
a. Radius and diameter of a circle
b. Radius and circumference of a circle
c. Radius and area of a circle
d. Diameter and circumference of a circle
e. Diameter and area of a circle

Answers

a. Radius and diameter of a circle is proportional

b. Radius and circumference of a circle is proportional

c. Radius and area of a circle is not proportional

d. Diameter and circumference of a circle is proportional

e. Diameter and area of a circle is not proportional

Given that,

We have to find the pair of quantities are proportional to each other.

We know that,

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know

a. Radius and diameter of a circle is proportional because d=2r

b. Radius and circumference of a circle is proportional because C = 2πr

c. Radius and area of a circle is not proportional because A = πr² non linear relationship.

d. Diameter and circumference of a circle is proportional C = πd

e. Diameter and area of a circle is not proportional A =  πd²

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help!! I will give brainlist...​

Answers

Answer:

I think it should be x-360

Step-by-step explanation:

general angle is counter clock wise and and reference angle is clockwise!

ONLY FOR 4th QUADRANT

What is the degree of the polynomial 2x² 3xy 5y² 2?

Answers

The degree of the given polynomial is 2 because the highest exponent is 2 present in terms 2x^2 or 5y^2.

First, try to understand what is polynomial.

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x^2+ 3x - 5 is an illustration of a polynomial with a single variable. There are three terms in this example: x^2, 3x, and -5.

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases."

Now let's talk about the degree of the polynomial.

The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.

The terms of a given polynomial is 2x^2, 3xy, 5y^2, and 2 Highest exponent is 2 in 2x^2 or 5y^2.

So the degree of the polynomial is 2.

The given Question is an incomplete complete question here.

[tex]2x^2 + 3xy + 5y^2 +2[/tex].

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Select all the statistical questions

Answers

Answer:

B and C

Step-by-step explanation:

A general way to know this is, if the answer can be given as a rate, percentage, or probability, then this is a statistical question

If the answer is yes, no, true, false, or something exact, then the question is not statistical.

Let's analyze the given questions:

a) "How many cups are in a gallon?"

There is an exact number of cups in a gallon (16) so this is not an staistical question.

b) "Which measure spoon do home backers use most frequently?"

While here the answer may be something like "teaspoon", the root of the answer is a percentage, here we actually would see the percent of home backers (so we need to find a sample, study that sample, etc) that use each spoon, and based on that, we could conclude what is the correct answer, then this is a statistical question.

c) "On average, how much salt do professional pastry chefs use in pie crust?"

Here we need to find a mean value, so we would need to do a survey and etc, then this is a statistical question.

d) "Which is larger, 17 ounces or 2 cups?"

Here we have an exact solution, so this is not a statistical question.

e) "Did a specific store sell more measuring cups or measuring spoons on a given day?"

Here we just need to compare the two numbers:

number of measuring cups sold = k

number of measuring spoons sold = m

And we need to see which one is larger, so the answer is exact, thus, this is not a statistical question.

This may be similar to option B, the difference is that in option B we are talking about all home backers, so we need to find a sample and do statistics, while in this case, we are talking about a specific store.

Then the correct options are: B and C

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x²-22x+11,599. How many machines must be made to
minimize the unit cost?
Do not round your answer.

Answers

The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

What is Quadratic Equation?

Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.

where a,b,c are constants.

Given ,

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.1

b = -22

c = 11599

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

= -(-22) / 2*0.1

=22/0.2

= 110

Plugging this value into original function would give us the minimum (unit cost):

C(x) = 0.1 x ^2 - 22x +11599

C(x) = 0.1(110*110) - 22(110)+11599

C(x) = 110(11-22) + 11,599

C(x) = -11(110) + 11599

C(x) = -1210 + 11599

C(x) = 10,389

Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

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A temperature C, in degrees Celsius, is the same as a temperature of
9
5
C+32, in degrees Fahrenheit. The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
What is that temperature in degrees Fahrenheit?
Write your answer as a whole number or decimal.

Answers

The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A temperature C, in degrees Celsius, is the same as a temperature of (9/5)C + 32, in degrees Fahrenheit.

The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.

Convert the temperature from Celcius to Fahrenheit. Then we have

⇒ (9/5)C + 32

⇒ (9/5) x 40 + 32

⇒ 9 x 8 + 32

⇒ 72 + 32

⇒ 104 F

The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.

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Draw a quadrilateral aBCD whose vertices are A (0,0) B(5,0), C(3,2) and D (0,2)

Answers

A graph of quadrilateral ABCD whose vertices are A (0, 0) B(5, 0), C(3, 2) and D (0, 2) is shown in the image attached below.

What are the types of quadrilateral?

In Geometry, there are different types of quadrilateral and these include the following:

ParallelogramSquaresRectangleRhombusTrapezium

Next, we would use an online graphing calculator to construct (plot) quadrilateral ABCD on a cartesian coordinate based on the given vertices. Also, you should enter the value for each vertices of quadrilateral ABCD on the x-coordinate and y-coordinate respectively as shown in the table.

By critically observing the graph of quadrilateral ABCD, we can reasonably infer and logically deduce that it represents a trapezium.

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Simplify
5 x 52
leaving your answer in index form.

Answers

Answer:

2^2×5×13

Step-by-step explanation:

its simple using only prime numbers to divide the answer of 52×5

Answer:

5x∧52

Step-by-step explanation:

If you know how to do box and whisker plot pls answer this because I forgot how to do it

Answers

Answer:

A box and whisker plot is a way of summarizing a set of data measured on an interval scale. It is often used in explanatory data analysis. ... In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box.

Step One: The first step to creating a box and whisker plot is to arrange the values in the data set from least to greatest.

Step Two: Identify the upper and lower extremes (the highest and lowest values in the data set).

The lower extreme is the smallest value, Which in this case is 31

The upper extreme is the highest value which is62

Step Three: Identify the median, or middle, of the data set.

Which is 50 in this case

Step Four: Identify the upper and lower quartiles.

To find the lower quartile and the upper quartile, start by splitting the data set at the median into lower and upper regions.

The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

Step-by-step explanation:

Also, your answer is C.

noah ia taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Noah's test score (out of 20) if he got 3 questions wrong? What would be his score if he got questions wrong?

Answers

Answer:

17

I wish you luck in your assignments.

.A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200


A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?

B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?

C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.

Answers

Answer:

This equation can be used to determine how long the car was traveling at each speed. You can solve for one of the variables by using algebraic techniques. For example, you could subtract 35y from both sides to get:

55x = 200 - 35y

Then divide both sides by 55 to get:

x = (200 - 35y)/55

This equation shows that the value of x (the time spent traveling at 55 mph) is determined by the value of y (the time spent traveling at 35 mph). If you know the value of y, you can use this equation to calculate the value of x.

To find the values of x and y that satisfy the equation, you will need to use additional information. For example, you could set up a system of equations and solve for x and y using techniques such as substitution or elimination.

Step-by-step explanation:

The equation can be used to determine how long the car was traveling at each speed

Big orange trucking is designing an information system for use in "in-cab" communications. It must summarize data from eight sites throughout a region to describe typical conditions. Compute an appropriate measure of central location for the variables wind direction, temperature, and pavement

Answers

Wind direction [Mode] is South west

The [Mean] temperature is  

The  [Bimodal] pavement is  Dry Wet

From the question the first question is to determine the wind direction

Generally from the wind direction would be the data with the highest frequency on the wind column i.e the mode of the data, this because this variable(wind direction ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )

So

The mode is Southwest

This means that the wind direction is Southwest

From the question second question is to determine the temperature

Generally given that their are are no outlier that will skew the data we can obtain the temperature by calculating the mean for the temperature column

This is mathematically represented as

T = 89+86+....+93+93/8

T = 91

From the question, the first question is to determine the  pavement

Generally from the pavement would be the data with the highest frequency on the pavement i.e the mode of the data, this because this variable(pavement ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )

From the table we see that the pavement that the pavement column is bimodal

So the mode is Dry Wet

This mean that the pavement is Dry Wet

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Write a story problem using sea level that includes both integers -110 and 120

Answers

Answer:

A diver dove down in the ocean, they went down to 120 meters, They then proceeded to swim up resulting them at -110 meters, did they pass they 0 sea level? If yes, how?

Step-by-step explanation:

The solutions to this problem

Answers

Answer: x<-2 or -2>x<1 or x>1

(-infinity,-2) U (-2,1) U (1,infinity)

Step-by-step explanation:

Determine the total SA of this cone having radius 7 inches and a slant height 11 inches.

a) 259.7 in^2
b) 395.8 in^2
c) 153.9 in^2
d) 241.9 in^2 ​

Answers

Its B im 100 percent sure i promise thats the awnser

Solve for x in this triangle. Round your answer to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

7

tamara finds the sum of two number cubes rolled at the same time. the chart below shows all possible sums frim thr 36 possible combinations when rolling two number cubes. how many times should tamara expect the sum of the two subes to be equal to 4 if she rolls the two number cubes 252 times?​

Answers

im notr sure but if we take the chances that the 4 sum has to be either (1.3) (3.1) (2.2) (2.2) that means its chance is 4/36 for each roll which is also 1/9 ,, we can multiply 1/9 times the roll times ( 252 ) we get =28

The length of the longest recorded jump made on a skateboard measured 672 inches. Use a conversion factor to
find the length of this jump in feet. (1 foot=12 inches)

Please I need my answer fast ❤️❤️❤️❤️

Answers

Step-by-step explanation:

plz mark as brainlist////

6th grade math please help because my grade went down.. and ion got time to be
punished
AND NO LINKS OR YOU WELL BE REPORTED :) have a good day my luvs <3
What should I do FIRST to solve this problem? 3x + 5 = 16

divide by 3 on each side

subtract 5 from each side

add 16 to each side

add 5 to each side
What should I do FIRST to solve this problem?
3x + 5 = 16

divide by 3 on each side

subtract 5 from each side

add 16 to each side

add 5 to each side


What should I do FIRST to solve this problem?
3x + 5 = 16

divide by 3 on each side

subtract 5 from each side

add 16 to each side

add 5 to each side

Answers

Answer:

first you subtract 5 from both sides

your left with 3x=11

divide by 3 on both sides

x=3.666 repeating

Step-by-step explanation:

FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)

Answers

The complete maze pattern is shown below.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.

Given is an exponent maze.

We can complete the maze as -

START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.

Therefore, the complete maze pattern is shown above.

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JRCXWD code for Qauthmath​

Answers

Answer:

thank you, I guess

Step-by-step explanation:

I dont know how to prove the equation below...pls help prove it with clear steps, i have no clue how does sin^2x can go into 1+cosx

Answers

Answer:

Answer:

Foci: (±5, 0)

Vertex: ( ±4 , 0)

Eccentricity: e = 5/4

Step-by-step explanation:

Hyperbola:

Write the equation of hyperbola in the form,

\boxed{\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1}

a

2

x

2

b

2

y

2

=1

9x² - 16y² = 144

Divide the entire equation by 144,

\begin{gathered}\sf \dfrac{9x^2}{144}-\dfrac{16y^2}{144}=\dfrac{144}{144}\\\\\\ \dfrac{x^2}{16}-\dfrac{y^2}{9}=1\\\\\\\dfrac{x^2}{4^2}-\dfrac{y^2}{3^2}=1\end{gathered}

144

9x

2

144

16y

2

=

144

144

16

x

2

9

y

2

=1

4

2

x

2

3

2

y

2

=1

a = 4 and b =3

Eccentricity: e

\boxed{e=\sqrt{1+\dfrac{b^2}{a^2}}}

e=

1+

a

2

b

2

\begin{gathered}\sf = \sqrt{1+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{16}{16}+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{25}{16}}=\sqrt{\dfrac{5*5}{4*4}}\\\\\\=\dfrac{5}{4}\end{gathered}

=

1+

16

9

=

16

16

+

16

9

=

16

25

=

4∗4

5∗5

=

4

5

Foci:

(ae, 0) & (-ae , 0)

\begin{gathered}\sf \left(4*\dfrac{5}{4},0 \right) \ ; \ \left( -4*\dfrac{5}{4},0 \right)\\\\\\(5, 0) \ ; \ (-5,0)\end{gathered}

(4∗

4

5

,0) ; (−4∗

4

5

,0)

(5,0) ; (−5,0)

Vertex of hyperbola:

The vertex of the hyperbola is a point where the hyperbola cuts the axis. (-a , 0) ; (a , 0)

Vertex : (-4 , 0) ; (4 , 0)

(Help within 5 minutes)

A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded.

Use this information to complete the two-way table.

Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes No
Parents
Not parents

Answers

The park should be expanded based on the information as the majority want the expansion.

How to illustrate the information?

From the information, on the small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded.

Also, the results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded.

Based on the above the number of people that wants the expansion will be:

= (150 + 40) / 250 × 100

= 190 / 250 × 100

= 76%

It should be expanded.

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Greg teaches an art class. The table below shows how many drawings his students had

submitted by last Friday. Greg calculates the mean absolute deviation (MAD) of the data.

Then, one student submits 25 additional drawings. Greg cannot remember whether the

drawings are Amy's or Emily's, but he thinks the MAD will increase no matter who submitted

the drawings. Is Greg correct? Use the drop-down menus to explain your reasoning.
HURRY

Answers

Answer: The MAD of the data in the table is 10. If the additional drawings are Amy’s the MAD is the data set still decrease. If the are Emily’s, the MAD will increase. The MAD of the new data set does depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is incorrect.

Step-by-step explanation:

What is the slope of the line passing through the points

(-8, 5) and (7,0)?

Answers

Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.

The slope of the line passing through the points (-8, 5) and (7,0) can be found by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, using the coordinates (-8, 5) and (7,0), we have:

m = (0 - 5) / (7 - (-8)) = -5 / 15 = -1/3

Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.

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find the area of the rectangle whose lengths 16cm and breadth is 8cm

Answers

Answer: Breadth? Did you mean width? If so, the answer is 128cm

Step-by-step explanation:

Area = Width x Length

8x16=128

Pls help I need this quick

Answers

Answer:

9.x=34

10.142

11.118

12.72

Step-by-step explanation:

9.180-146

10.because they are on the same side of the line but also opposite  of each other

11.180-62

12.because if you pick up one side and put is on the other side the numbers will be the same.

Easy points (Pythagorean theorem)

Answers

Answer:

61.03

Step-by-step explanation:

c=a2+b2=352+502≈61.03278

61.03..................
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How might Jamie respond in a way that informs her dad about whomakes up the homeless population and why people become homeless? What are threeaction steps Jamie and her family might take to make a difference in her city's homelesspopulation? Can someone help me with this 7. Find the slope and y-intercept of the line given by -6x - 18y = 20. The school surveillance camera was able to capture an image of the suspect. The imageshows the thief standing next to the gym door. In real life the door measures 84 inches butis 14 cm in the image. If your suspect is 10.83 cm in the photo. How many inches tall arethey in real life? (Round to nearest whole inch.) Report the height in feet and inches. Ex."2 feet 5 inches"