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 .

Question

asked Oct 10, 2021 46.8k views

1 Answer

Sophie Mackeral · Answer 1 · 2021-10-14T18:38:11+0000

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