The answer is about 13.9927.
You would divide 52/11 and then subtract that decimal by 18.65.
18.65-4.7272=13.9927.
The answer is C. I need a total of 20 characters so heres a smiley face:)
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

The answer to this equation is x=5.

6x + 20
Step-by-step explanation:
- <u>To</u><u> </u><u>find</u><u> </u><u>:</u><u>-</u>
Perimeter of rectangle
- <u>Given</u><u> </u><u>:</u><u>-</u>
Length = 2x + 7
Breadth/width = x + 3
- <u>Solution</u><u> </u><u>:</u><u>-</u>
<em>We</em><em> </em><em>know</em><em> </em><em>that</em>
<em>
</em>
<em>Now</em><em> </em><em>we</em><em> </em><em>will</em><em> </em><em>substitute</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>length</em><em> </em><em>and</em><em> </em><em>breadth</em>
<em>
</em>