Answer:
[tex]VW=4\ units[/tex]
Step-by-step 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
[tex]UW=UV+VW[/tex] ----> by addition segment postulate
substitute the given values
[tex]14=(x+8)+(6x-8)[/tex]
solve for x
[tex]14=7x[/tex]
[tex]x=2[/tex]
step 2
Find the value of VW
[tex]VW=(6x-8)[/tex]
substitute the value of x
[tex]VW=(6(2)-8)=4\ units[/tex]
