Question

4. Point V is somewhere on UW. If UV - 2x - 13, VW--18+ 2x, and UW = 17, then find the length of UV.

Answer 1

The length of UV is 11.

Solution:

UV = 2x - 13

VW = -18 + 2x

UW = 17

UV + VW = UW

2x - 13 - 18 + 2x = 17

4x - 31 = 17

Add 31 on both sides.

4x - 31 + 31 = 17 + 31

4x = 48

Divide by 4 on both sides.

`$(4x)/(4) =(48)/(4)`

x = 12

UV = 2x - 13

= 2(12) - 13

= 24 - 13

UV = 11

The length of UV is 11.