What is the measure of each interior angle does a polygon have if the sum of its interior angles is 1800°?

Answers

Answer 1

Answer:

$\underset{in~degrees}{\textit{Sum of All Interior Angles}}\n\n S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\n[-0.5em] \hrulefill\n S=1800 \end{cases}\implies 1800=180(n-2)\implies \cfrac{1800}{180}=n-2 \n\n\n 10=n-2\implies 12=n \n\n[-0.35em] ~\dotfill$

$\underset{in~degrees}{\textit{Sum of All Interior Angles}}\n\n n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\n \theta = \stackrel{degrees}{angle}\n[-0.5em] \hrulefill\n n=12 \end{cases}\implies 12\theta =180(12-2) \n\n\n 12\theta =1800\implies \theta =\cfrac{1800}{12}\implies \boxed{\theta =150^o}$

Answer 2

Answer:

150

Step-by-step explanation:

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Find the percent change from 72 to 90.

Answers

Percent change = [(90 - 72) / 72] x 100 = 25%
This is an increase, because 90-72=+18

a large pizza has eight equal slices and costs "x" dollars. write an algebraic expression for the cost (in dollars) of each slice of pizza. a) 8 x b) x + 8 c) x 8 d) 8 x

Answers

Answer:

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Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

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A blue rope is 3 times the length as a red rope. A green rope is 5 times as log as the blue rope of the total length of all 3 ropes equals 508.25m what is the length of blue rope

Answers

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A concession stand sells hamburgers. The revenue from the hamburgers is (30x+45) dollar. The revenue from drinks is (63x+84) dollars. The price of a drink is $3. Write an expression that represents the number of drinks sold.

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WHAT IS THE SQUARE ROOT OF PIE?

Answers

Answer:

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The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height? please help!

Answers

the surface area is 136

you need to subtract the surface area of the base. It is a square pyramid, so both the sides are 4 inches, meaning you need to multiply 4x4 which is 16 and subtract it from the rest of the area. 136-16=120

There are four identical triangles that have identical surface area because it is a square triangle. So you can divide 120 by four to get the area of one of the triangles. 120/4=30

the formula for the area of a triangle is 1/2 base x height. We know that the base is 4 because that is the length that was given to us. so we can plug in our numbers into the formula

30=1/2(4)(height)

30=2(height)

and from there we can solve. 30/2=15

the height of the triangle is 15, which is also the slant height

to check our work, 1/2(4)(15)=30

4x15=60

1/2x60=30

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