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

p could be 5 and q could be 8 this is just my guess but i think its right
Answer:
1.32 kg
Step-by-step explanation:
Given a fraction of the market goods, we can find the remaining fraction by subtracting the given fraction from 1.
The fraction of the goods the farmer sells that is pears will be ...
(apples +pears) = (apples) +(pears)
pears = (apples +pears) -(apples)
pears = 1 - 4/5 = 1/5 . . . . . of the total goods
One-fifth of the goods sold will have a weight of ...
(1/5) × (6.6 kg) = 1.32 kg
The farmer sold 1.32 kg of pears at the market.
Answer:
you forgot the diagram
Step-by-step explanation: