Ted is constructing an equilateral triangle. He draws a segment with his straightedge and labels the endpoints A and B. He then
1 answer:
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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:
D. A(n) = P + (n-1)i*P
Step-by-step explanation:
The formula to calculate the simple interest is:
Replace i by , then
SI = Pni
where n is the number of years.
So, for n-1 years, the simple interest is:
SI = P(n-1)*i
The Total amount is:
A(n) = P + (n-1)i*P