Answer:
[tex]XY=13\ units[/tex]
Step-by-step explanation:
The question is
Find the value of XY
see the attached figure to better understand the problem
we know that
[tex]WZ=WX+XY+YZ[/tex] -----> by segment addition postulate
If X is the midpoint WY
then
[tex]WX=XY[/tex]
substitute in the formula above
[tex]WZ=XY+XY+YZ[/tex]
[tex]WZ=2XY+YZ[/tex]
substitute the given values and solve for XY
[tex]32=2XY+6[/tex]
Subtract 6 both sides
[tex]32-6=2XY[/tex]
[tex]26=2XY[/tex]
Divide by 2 both sides
[tex]26/2=XY[/tex]
Rewrite
[tex]XY=13\ units[/tex]
