Which graph best shows the solution to the following equation?

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

$x+y=180^o$ ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

so

$x=120^o$

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

3 0

3 years ago

How can you show the two objects are proportional.

8_murik_8 [283]

Their shape and size

7 0

3 years ago

Read 2 more answers

IMPOSSIBLE PLEASE HELP! ALSO MAKE SURE TO WRITE A LET STATEMENT

madam [21]

Q1 :
x + (x+25) = 131
2x + 25 = 131
2x = 131-25
2x = 106
x = 53
53+25 = 78
Therefore, 53+78=131

Q2 :
x + (x+14) = 58
2x + 14 = 58
2x = 58-14
2x = 44
x = 22
22+14 = 36
Therefore, 22+36=58

Q3 :
let ‘b’ be basketball
b + (3+b) = 27
2b + 3 = 27
2b = 27-3
2b = 24
b = 12
12 + 3 = 15
Therefore, 12 + 15 = 27
12 basketballs and 15 footballs were sold on Saturday

Q4 :
let ‘s’ be soup
s + 2s = 738
3s = 738
s = 246
246 x 2 = 492
Therefore, the hamburger has 492 calories while the soup as 246 calories

hope it helps somehow!

4 0

3 years ago

Find the perimeter of a polygon with vertices at A(0, 1), B(4, 4), C(7, 0), D(3, -3), E(-4, -4). Round your answer to the neares

wlad13 [49]

It's interesting that areas from coordinates are much simpler than perimeters from coordinates. It's almost like math is telling us area is more fundamental than length.

p = AB+BC+CD+DE+EA

We use the Pythagorean theorem, square root form, on all the sides. We can skip a lot of the square roots because most of these are the hypotenuse of a 3/4/5 right triangle.

B-A=(4-0, 4-1)=(4,3) so length AB=5

C-B=(7-4,0-4)=(3,-4), so again BC=5

D-C=(3-7, -3-0)=(-4,-3) so again CD=5

E-D=(-4-3, -4 - -3) = (-7, -1). Ends our streak. DE=√(7²+1²)=√50=5√2.

A-E=(0 - -4,1 - -4)=(4,5) so EA=√(4²+5²)=√41.

Three of five were 3/4/5.

p = 5+5+5+5√2+√41 = 15+5√2+√41

I hate to ruin a nice exact answer with an approximation.

p ≈ 28.474192049298324

Answer: 28.47, last choice

8 0

3 years ago

Please Help ASAP!!! I'm Timed!!! Will give brainliest to first correct answer!!! Hurry!!

Inessa05 [86]

Answer: If you are reflecting the triangle(or coordinate points in general) off of the x or y axis on the upper quadrants, then the reflection would be negative for x.

If you are reflecting the triangle(or coordinate points in general) off of the x or y axis on the lower quadrants, then the reflection would be negative for y.

This is because the lower quadrants are usually negative and the upper quadrants are usually positive according to the x axis. The same thing vice verse with y.

These are the rules that I’m guessing your trying to find. Hope this helps!

3 0

3 years ago