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-BARSIC- [3]
3 years ago
9

The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

nterior and exterior angle
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

so

2x+4x=180

solve for x

6x=180

x=30

step 2

Find the measure of an exterior angle

2x

substitute the value of x

2x=2(30)=60\°

step 3

Find the measure of an interior angle

4x

substitute the value of x

4x=4(30)=120\°

In this problem the regular polygon is a hexagon

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Step-by-step explanation:

see the attached figure , to better understand the problem

we have

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subtract 9 both sides

\frac{A}{6}-9=b

Rewrite

b=\frac{A}{6}-9

Convert to function notation

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Please help with math question! This question is stressing me out (View Image)
TEA [102]
To find the volume of this one we need to break it down 
now i see half of a cylinder and rectangle:)
but first lets find the volume of the rectangle...
In order to find the Volume of a rectangle we need to use this formula...
Length x width x height 
in this case...
length = 10in
width = 6 in 
height = 8in
lets solve:)
10 x 6 x 8 = 480
or we write it like this 
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now time to find the volume of the half cylinder:)
But first lets remember the volume for a cylinder
Volume = \pi r^{2} h
So lets find our measurements 
\pi = 3.14
r² = 5² or 25
h = 6 
so lets plug in our values just like our formula said:)
3.14 x 25 x 6 
now lets easily solve 
<span>3.14 x 25 x 6 = 471
</span>now since we found an entire cylinder and we only want half of a cylinder lets divide our answer in half
471 ÷ 2 = 235.5
so we write it like this 235.5units³
But we have to add both of our multiples together so lets do that
Volume of rectangle = <span>480in³
</span>volume of half sphere = 235.5units³
480 + 235.5 = 715.5
answer = 715.5units³
I hope this helped and everyone learned something new
anyways don't forget to
MARK ME BRAINLIEST! :D
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