Answer:
[tex]VW=21\ units[/tex]
Step-by-step explanation:
we have that
Point W is between point V and point X
Points W,V and X are collinear
so
[tex]VX=VW+WX[/tex] -----> equation A (by addition segment postulate)
we know
[tex]VX=(5x+1)\ units\\VW=(4x-7)\ units\\WX=3x\ units[/tex]
substitute the given values in the equation A and solve for x
[tex]5x+1=(4x-7)+3x[/tex]
Combine like terms in the right sides
[tex]5x+1=(7x-7)[/tex]
Group terms that contain the same variable
[tex]7x-5x=1+7[/tex]
[tex]2x=8[/tex]
[tex]x=4[/tex]
Find the length of VW
[tex]VW=(4x-7)\ units[/tex]
substitute the value of x
[tex]VW=(4(4)-7)=21\ units[/tex]
