Question

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

Answer 1

`XY=13\ units`

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`