Let us have a recap first.
For triangle it's 180 degrees in total
Square has 360 degrees in total
Pentagon has 540 degrees total
Hexagon has 720 degrees in total
So these polygons increase by 180 degrees for every side to the polygon starting at three sides instead of one.
Let:
n = number of sides in the polygon
(n-2) * 180 = degrees total inside the polygon
(n-2) * 180 / n = degrees for each angle in polygon
Substitute:
(n-2) * 180 / n = 162
multiply both sides by n
(n-2) * 180 = 162n
then divide both sides by 180
n-2 = 162n / 180
n-2 = 0.9n
subtract 0.9n and add 2 to both sides to get n alone
0.1n = 2
n = 20 sides
Thus,
Icosagon (20-gon) is the term for a 20 sided polygon
Answer:
Step-by-step explanation:
the answer is 4/5
Because there are 5 section and the blueberry takes up 4 of the sections it is 4/5
We can use trial and error and foil each answer to see which gives us the original polynomial
A gives us the same answer
A
Answer:
The area of the house is 
Step-by-step explanation:
we know that
The area of the floor plan of the house is equal to the area of one rectangle plus the area of a trapezoid plus the area of semicircle
so
step 1
Find the area of the large rectangle
we have
substitute
step 2
Find the area of trapezoid
The area of trapezoid is equal to
![A=\frac{1}{2}[b_1+b_2]h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bb_1%2Bb_2%5Dh)
we have
substitute
![A=\frac{1}{2}[5+7]3=18\ ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B5%2B7%5D3%3D18%5C%20ft%5E2)
step 3
Find the area of semicircle
The area of semicircle is
we have
substitute
step 4
Adds the areas
