Answer:
1. VW = 22
2. x = 87
Step-by-step explanation:
Question 1:
SU = 11 (given)
SU = ½(VW) => midsegment theorem
11 = ½(VW) => Substitution
Multiply both sides by 2
2*11 = VW
VW = 22
Question 2:
UV = x + 13
RT = x - 37
RT = ½(UV) => Midsegment Theorem
x - 37 = ½(x + 13) => Substitution
Multiply both sides by 2
2(x - 37) = x + 13
2x - 74 = x + 13
2x - 74 + 74 = x + 13 + 74
2x = x + 87
2x - x = x + 87 - x
x = 87
