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 last one lol- thats just how it works
Answer:
B
Step-by-step explanation:
lets start off by looking at point A (1,1)
4 units to the right is along the x-axis, so the x-coordinate would be 5 (1 + 4)
2 units up is on the y-axis, so the y-coordinate would be 3 (1 + 2)
A is now (5,3). we can eliminate choices A, C, and D as they each have negative numbers in them, and we are moving in the positive direction, not the negative.
the answer is B
66 x 3 = 198
198 + 2 = 200
200 / 3
As an improper fraction, anyway. 66 2/3 is already *technically* a fraction.
7526.44 because you look at the thousanth place (the 2) and since it is less than 5 you round down