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Lynna [10]
3 years ago
7

Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work.

Mathematics
1 answer:
fredd [130]3 years ago
7 0
<h3>Given</h3>

regular polygons with 5, 16, and 12 sides

<h3>Find</h3>

the measures of each interior and exterior angle

<h3>Solution</h3>

The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.

(a) pentagon. Exterior angle: 72°; Interior angle: 108°.

(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.

(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.

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Nikolay [14]

Answer:

Nopes 3²+4²≠12²

Step-by-step explanation:

12²=144

3²+4²=

9+16=25

25≠144

To make it easier to see exactly WHY 3²+4²≠12² you can spread out the numbers in the equation.

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When solving equations you use PEMDAS (Parenthesis Exponents Multiplication Division Addition Subtraction). You have to solve in THAT ORDER.

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how much wrapping paper would you need to cover a rectangular that is 18.25 inches by 12inches by 3 inches if you need 10% more
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Answer: 681 square inch

Step-by-step explanation:

Hi, we have to apply the formula for the surface area:

A = 2wl + 2lh + 2hw

Where:

w: width

l: length

h: height

Replacing with the values given:

A = (2x12x18.25) + (2x12x3)+(2x18.25x3)

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A=619.5 in2

Since it has to be 10% more than the surface.

619.5 x (10/100) = 61.95 in2

Adding that value to the surface area

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3 years ago
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Answer:

r=15.99

Step-by-step explanation:

r=C

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