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
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

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

The perimeter of the hexagon is given by the formula

substitute

Answer:
The cost of a school banquet is $75+30n, where n is the number of people attending.
If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.
At n=53, the value is $(75+30·53)=$1,665.
Step-by-step explanation:
Answer:
I think that her taking the skateboard is 4 times as fast as her walking.
Step-by-step explanation:
I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.
Answer:
2,250.
Step-by-step explanation:
Add all of the bills together. It says the minimum, so in order to pay all of the bills, you'll need 2,250.
Answer:
3x - 4
Step-by-step explanation:
Slope (m): 3
Y-intercept (c): = -4
Equation of Line: Y=mx + c
Y=3x -4