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Sagot :

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