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:
3 are mushed
Step-by-step explanation:
You have 12 tomatoes
All but 9 get mushed
Total tomatoes = mushed + non mushed
12 = mushed +9
Subtract 9 from each side
12-9 = mushed+9-9
12-9 = mushed
3 = mushed
Answer:
2 * -4 = -8
Step-by-step explanation:
2 * -4 = -8
It is just like multiplying two numbers like... 2 * 4 = 8
You must need to know that:
+a * -b = -c
-a * -b = +c
+a * +b = +c
In your question;
+a * -b = -c
a = 2
b = -4
c = -8
therefore:
2 * -4 = -8
Answer:
Step-by-step explanation: