Question

WZ = 32, YZ = 6, and X is the midpoint of WY

Answer 1

Answer:

$XY=13\ units$

Step-by-step explanation:

The question is

Find the value of XY

see the attached figure to better understand the problem

we know that

$WZ=WX+XY+YZ$ -----> by segment addition postulate

If X is the midpoint WY

then

$WX=XY$

substitute in the formula above

$WZ=XY+XY+YZ$  

$WZ=2XY+YZ$

substitute the given values and solve for XY

$32=2XY+6$

Subtract 6 both sides

$32-6=2XY$

$26=2XY$

Divide by 2 both sides

$26/2=XY$

Rewrite

$XY=13\ units$