Answer:
BC = 45
Step-by-step explanation:
In general:
The Trapezoid Midsegment Theorem:
midsegment = ( base 1 +base2) /2
In our problem:
EF = (BC+AD) /2, substitute what is given
20.5x+8 = (15x +32x-2)/2, combine like terms and multiply both sides by 2
2(20.5x+8) = 47x-2, distribute multiplication over addition
41x+16 = 47x-2, isolate like terms
16+2 = 47x-41x, combine like terms
18 = 6x, divide both sides by 6
3 = x
Answer : What is BC?
BC = 15x, substitute x
BC = 15 ·3
BC = 45
