Question

Point W is on line segment V X. Given VW = 4x - 7, V X = 5x + 1, and

Answer 1

Answer:

$VW=21\ units$

Step-by-step explanation:

we have that

Point W is between point V and point X

Points W,V and X are collinear

so

$VX=VW+WX$ -----> equation A (by addition segment postulate)

we know

$VX=(5x+1)\ units\\VW=(4x-7)\ units\\WX=3x\ units$

substitute the given values in the equation A and solve for x

$5x+1=(4x-7)+3x$

Combine like terms in the right sides

$5x+1=(7x-7)$

Group terms that contain the same variable

$7x-5x=1+7$

$2x=8$

$x=4$

Find the length of VW

$VW=(4x-7)\ units$

substitute the value of x

$VW=(4(4)-7)=21\ units$

Answer 2

Answer:9

Step-by-step explanation: