Question

Point V is on line segment \overline{UW}

UW

. Given UV=6,UV=6, UW=5x,UW=5x, and VW=4x-1,VW=4x−1, determine the numerical length of \overline{VW}.

VW

.

Answer 1

Answer: VW = 19

Explanation: The segment UW has a point V between them, so:

UV + VW = UW

6 + 4x - 1 = 5x

4x + 5 = 5x

x = 5

The numerical length is

VW = 4x - 1

VW = 4(5) - 1

VW = 19

The measure, numerically, of VW is 19