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:
Step-by-step explanation:
If 3/4 of the lot was full and the lot holds 1000 vehicles, then there are 3/4(1000) in the lot. 3/4(1000) = 750. That means there are 750 vehicles in the lot. If 200 cars are in the lot, then 750 - 200 = 550 trucks.
Answer:
18ft
Step-by-step explanation:
6ft -> 4ft shadow
6 = 4m
m = 6/4
y = 12m
y = 12(6/4)
y = 18ft
Answer:
Step-by-step explanation:
means 9*9*9*9