if you measure angle is 80 is an acute?

Answer: 4k^7

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

All the indicated angles in the diagram are exterior angles of the polygon.

sum the 5 exterior angles and equate to 360

2x + 71 + 85 + 44 + 3x = 360

5x + 200 = 360 ( subtract 200 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

5 half-dozens he should buy to make enough cookies.

What is an average?

Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. scored 85 on tests on average. The term "mean" can refer to the simple average or a figure that lies halfway between two extremes.

Here, we have

If 108 students eat 2 cookies on average, there will need to be 108× 2 = 216 cookies.

There are 15 cookies per pan, meaning there need to be {216}/{15} = 14.4 pans.

However, since half-recipes are forbidden, we need to round up and make{216}/{15} = 15 pans.

1 pan requires 2 eggs, so 15 pans require 2×15 = 30 eggs.

Since there are 6 eggs in a half dozen,

we need 30/6 = 5 half-dozens of eggs.

Hence, 5 half-dozens he should buy to make enough cookies.

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Answer:

x=40º

Step-by-step explanation:

A straight line is 180º

180-40=140º

180-140=40º

x=40º

Hope this helps :)

Answer:

7x + 20 or 20 + 7x

Step-by-step explanation:

2(5 + 3x) + (x + 10)

=> Multiply the parenthatic values in the first parenthesis by 2

(10 + 6x) + (x + 10)

=> Now add similar values

20 + 7x

Hope this helps!

Two cans of paint are needed to cover the toy chest of 1866 in²

Area:

The area is the amount of space occupied by a two-dimensional object or figure. Area (A) of the rectangle is:

A = length * breadth.

Area of A = 13 * 16 = 208 in²

Area of B = 13 * 25 = 325 in²

Area of C = 25 * 16 = 400 in²

Area of D = 13 * 25 = 325 in²

Area of E = 13 * 16 = 208 in²

Area of F = 25 * 16 = 400 in²

1) Combined Area = 208 + 208 = 416 in²

2) Combined Area = 325 + 325 = 650 in²

3) Combined Area = 400 + 400 = 800 in²

4) Combined Area = 416 + 650 + 800 = 1866 in²

5) Amount of paint = 1866 in² / 933 in² = 2

Therefore, Two cans of paint are needed to cover the toy chest of 1866 in²

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the answer is 151200

Sum of the infinite geometric series = 79/9

A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.

Given Geometric sequences,

0.79, 0.079, 0.0079, 0.00079, 0.000079

so, the geometric series is:

0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........

The first term of given geometric series is 0.79

The second term of given series is 0.079

Therefore, the common ration is= 0.079/0.79 = 1/10

The Sum of infinite geometric series is given by, S= a/(1-r)

a here denotes the first term of the series

r denotes the common ration

so,

S = 0.79/{1-(1/10)}

or, S = 0.79/(9/10)

0r, S = 0.79 * (10/9)

0r, S = 79/9

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After 10 years the balance of the account will be $13000.

A simple interest is one that does not compound anyway. In this system, a creditor only pay interest on the initial amount and the rate of interest is not changed during the time period.

given, initial deposit money = initial principal amount = $8000

initial money is denoted by P

interest rate (annually), r = 6%

generally, simple interest is annual.

expected amount after t years = final amount = $13000

final amount is denoted by A.

t is the time in years.

According to the formula for simple interest, A = P (1 + rt)

                                                           $13000 = $8000(1 + 6/100×t)

                                                        $13000/ $8000 = (1 + 0.06t)

                                                         (1 + 0.06t) = 1.625

                                                        0.06t = 0.625

                                                        t = 10.417 years or t = 10 years

Therefore, after 10 years the balance of the account will be $13000.

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Answer:

3/4

Step-by-step explanation:

Going from the first point to the second, we see the x-coordinate (the 'run') increasing by 4 and the y-coordinate increasing by 3.  Thus, the slope of the line going through these two points is

m = rise / run = 3/4

Answer:

John spends less than 1/4 of his income on utilities, cable, internet and cell phone bills.

Mark me brainliest and thanksss :)))

Answer:

8

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

a+b+the square root of [tex]a^{2}[/tex]+[tex]b^{2}[/tex]

7+[tex]\sqrt16+9[/tex]

The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct

The figure that illustrates a reflection in line k is figure C.

We have given that the figure.

We have to determine the correct option a reflection in line k.

A reflecting line is a perpendicular bisector.

When a figure is reflected, the reflecting line is the perpendicular bisector of all segments that connect pre-image points to their corresponding image points.

Therefore option c is correct.

Therefore, the figure that illustrates a reflection in line k is figure C.

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Answer:

[tex]21x \: - \frac{1}{3} \\ 3[/tex]

Corresponding angle pairs - (1,5) , (2,6) , (3,7) and (4,8)

There are 749398 5-disc combinations that can be made from the collection.

Combination refers to the number of ways that a certain number of items can be selected from a larger set of items without regard to the order of the items. It is different from permutation, which takes into account the order of the items.

The number of combinations can be calculated using the formula:

nCr = n! / (r! x (n - r)!)

Where n is the total number of items in the collection, and r is the number of items in each combination

Since a movie collection has 6 mystery, 10 comedy, 4 adventure, 9 drama, and 12 science fiction discs, then the total number of discs in the collection is 41.

Plug in the values to the formula for combination.

nCr = n! / (r! x (n - r)!)

41C5 = 41! / (5! x (41 - 5)!)

41C5 = 41! / (5! x 36!)

41C5 = 749398

Therefore, there are 749398 5-disc combinations that can be made from the collection.

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Answer:

(0, -3)

Step-by-step explanation:

y = 3x - 3

y = x - 3

In the solution to the system of equations, y is the same number for both of those functions. So 3x - 3 = x - 3.

Then solve for x:

3x - 3 = x - 3

Add 3 to both sides

3x = x

Subtract x from both sides

2x = 0

Divide both sides by 2

x = 0

Now that you have x, substitute it in one of the equations:

y = 3x - 3

y = 3(0) - 3

y = -3

x is 0 and y is -3, so the solution to the equation is (0, -3)

Answer:

x = 0

Step-by-step explanation:

y=3x-3

y=x-3

They both equal why so you can take away the y and put them equal to each other.

3x-3=x-3

Subtract x from both sides

2x-3=-3

Add 3 to both sides

2x=0

divide 2 from both sides

x=0

The answer is 0. Hope this helps you :)

Answer:

455 miles in 6 hours and 30 minutes

Step-by-step explanation:

280 = 4 hour(s)

140 = 2 hour(s)

70 = 1 hour(s)

35 = 30 minutes

280+140+35 = 455

(Hope this helps! Please leave questions about this is in the comments) :D

Answer:

The range is 24

The Q1 is 53

The Q3 is 69

The IQR is 16

Step-by-step explanation:

Answer:

can you put that in a paragraph

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 7/9 Is the first one

And 7.7 with the second 7 repeating

The measure of angle B where angle B is an acute angle by using the Law Of Sines is 61° .

What is an Acute Angle ?

The Acute Angle can be defined as an angles that measure less than 90° , the acute angle is smaller than Right Angle and also smaller than the Linear Angle ( measuring 180° ).

From the figure ,

we can see that the measure of the sides are given as a = 9 , b = 8 and

the measure of angle A is 79° .

By Applying the Law Of Sines ;

we get ,

[tex]\frac{SinA}{a} =\frac{SinB}{b}[/tex]

Substituting the values in the above equation ,

we get ;

[tex]\frac{Sin79\textdegree}{9} =\frac{SinB}{8}[/tex]

Simplifying further ,

we get ;

[tex]SinB = \frac{Sin79\textdegree}{9} \times 8[/tex]

substituting the value of Sin79° as 0.9816 ;

we get ;

[tex]SinB = \frac{0.9816}{9} \times 8[/tex]

[tex]SinB=0.8725[/tex]

So , B ≈ 61° .

Therefore , the measure of angle B is 61° .

The given question is incomplete , the complete question is

Find the measure of Angle B in the given figure .

Note that the angle B is acute . Round to the nearest degree .

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The given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is the expression as follows -

8.5x + 0.5 + 3.5x - 2x

The given expression is -

8.5x + 0.5 + 3.5x - 2x

(8.5x + 3.5x - 2x) + 0.5

12x - 2x + 0.5

10x + 0.5

Therefore, the given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

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An inverse does not exist for a parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

An inverse does not exist for a parabola.

One definition of a parabola includes a line and a point (the focus) (the directrix).

The directrix is not the main focus.

The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.

Therefore, an inverse does not exist for a parabola.

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Answer:

3/4

Step-by-step explanation:

Answer:

2/3 of a day

Step-by-step explanation:

3/4 : 1/2 = 1 : X

X=2/3

approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated is (271.02, 328.98) = (271, 329)

Suppose number of trials, n = 1000

And number of defective chickens is within 1 standard deviation of the mean :

Mean = np ; p = 0.3

Mean = 1000 * 0.3 = 300

Standard deviation (s) : sqrt(np(1-p))

s = sqrt(1000 * 0.3 * 0.7)

s = sqrt(210)

s = 14.49

2 standard deviations of the mean: and interval

Mean ± 2s

Lower bound : 300 - 2(14.49) = 271.02

Upper bound : 300 + 2(14.49) = 328.98

(271.02, 328.98) = (271, 329)

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Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Its non of the above. Though I did have a question like that, if there is a choice below the square, that has the following properties, that must be the answer:

7 sides

1 right angel

______________________________________________________

But if you are talking about it being 1 of the 2, its non of the 2 that is in the picture. The option below square must be the answer if I am right according to what I had.

Hope it helps ! The things that I told you about the figure is the only way I can tell you. Sorry, but have a great day and good luck.