Answer:
VX=20
Step-by-step explanation:
So we know that W is on VX. It doesn't matter where W is, but the two segments must equate to VX. In other words:
[tex]VX=VW+WX[/tex]
We know that VX is 4x, VW is 3x, and WX is 5. Substitute:
[tex]4x=3x+5[/tex]
Solve for x. Subtract 3x from both sides.
[tex]x=5[/tex]
So, the value of x is 5.
To determine VX, substitute 5 for x:
[tex]VX=4x[/tex]
[tex]VX=4(5)[/tex]
Multiply:
[tex]VX=20[/tex]
And we're done!
