I hope my steps were clear. this involves the difference of squares and factoring
Answer:
156
Step-by-step explanation:
Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be (n-2) 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.
Answer:
150 in^2
Step-by-step explanation:
Each of the 6 identical faces is a triangle with a base of 5 in and a height of 10 in. The area of a triangle is given by the formula ...
A = 1/2·bh
For the given values, the area of one face is ...
A = (1/2)(5 in)(10 in) = 25 in^2
The figure has 6 identical faces of this area, so the total surface area is ...
A = 6×(25 in^2) = 150 in^2
Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.
This means that by the exterior angle theorem, 
The equation for the midpoint of a line segment is
. Thus, the midpoint of this segment is
.
