Answer:
[tex]32[/tex]
Step-by-step explanation:
Point M is the midpoint of XY since it is a bisector. Thus, XM = MY.
[tex]3x+1=8x-24[/tex]
Subtract 1 from both sides:
[tex]3x+1-1=8x-24-1[/tex]
[tex]3x=8x-25[/tex]
Subtract 8x from both sides:
[tex]3x-8x=8x-25-8x[/tex]
[tex]-5x=-25[/tex]
Divide both sides by -5:
[tex]\frac{-5x}{-5}=\frac{-25}{-5}[/tex]
[tex]x=5[/tex]
[tex]XM=3x+1=3(5)+1=15+1=16[/tex]
[tex]MY=8x-24=8(5)-24=40-24=16[/tex]
[tex]XY=16+16=32[/tex]
