Answer:
Each person get = 20 cents
Step-by-step explanation:
Given - Maya and three friends have three quarters and one nickel to spend.
To find - If Maya and her friends share the money equally how much will each person get ?
Proof -
We know that
1 nickel = 5 cents
1 quarter = 25 cents
As they spent, 3 quarters and one nickel
So,
Total money spent = 3(25) + 5 = 75 + 5 = 80 cents
⇒Total money spent = 80 cents
Now,
Total people = 4 (Maya and three friends )
Now,
Given that, They share the money equally
So,
Each person get = 
= 20 cents
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 original number is 15.
Step-by-step explanation:
