Answer:


Explanation:
A segment bisector is a line, ray, or segment that divides a line segment into two segments with equal lengths.
The point that divides the line segment into two segments with equal lengths is called the midpoint of the line segment.
In this case:
A segment bisector is line n because it divides line XY into XM and MY equally.

Again.
Since the segment bisector divides a line segment into two segments with equal lengths.
So,

Substituting Value
5x+8 = 9x + 12
Subtract 5x and 12 on both sides

Simplify

Divide both sides by 4.


Now,

Therefore,
