Question

Line m is the perpendicular bisector of segment AB. What is the value of

x?
m
3x+77
X
6x -25
A
B
X=

Answer 1

x=34

Explanation:

m is a perpendicular bisector that basically cuts ab right down the middle creating two equal parts

using this info, u now know that 3x+77 and 6x+25 are equal to each other

3x+77=6x-25

77=3x-25

102=3x

x=34

Answer 2

Since line m is the perpendicular bisector of segment AB, the value of x is equal to 34 units.

In Mathematics and Geometry, a perpendicular bisector is a segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

Based on the definition of a perpendicular bisector, we can logically deduce the following congruent sides;

3x + 77 = 6x - 25

6x - 3x = 77 + 25

3x = 102

x = 102/3

x = 34 units.