Question

If UV = x+8, VW = 6x-8, and UW=14, what is VW?

Answer 1

`VW=4\ units`

Explanation:

step 1

Find the value of x

In this problem i will assume that U,V and W are collinear and V is between U and W

so

`UW=UV+VW` ----> by addition segment postulate

substitute the given values

`14=(x+8)+(6x-8)`

solve for x

`14=7x`

`x=2`

step 2

Find the value of VW

`VW=(6x-8)`

substitute the value of x

`VW=(6(2)-8)=4\ units`