Question

Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and

UW = 52, determine the numerical length of VW.

Answer 1

VW = 36

Explanation:

From the question, we are given:

VW = 5x - 4, UV = 2x,

UW = 52

Hence,

UV + VW= UW

2x + 5x - 4 = 52

7x = 52 + 4

7x = 56

x = 56/7

x = 8

VW = 5x - 4,

VW = 5(8) - 4

VW = 40 - 4

VW = 36