Question

QT

is the midsegment of the trapezoid PRSU.
If RS=2w+21, QT=4w+27, and PU=w+38, what is the value of w?

Answer 1

w=1

Explanation:

QT=(RS+PU)/2

4w+27=(2w+21+w+38)/2

3w+59=2*(4w+27)=8w+54

8w-3w=59-54

5w=5

w=1