Is the perpendicular bisector of . Find KJ.

x = 25

Explanation:

HK is the perpendicular bisector of GJ. What is KJ?

The complete question is attached.

Solution:

An equation is a mathematical statement that shows the equality between two expressions.

A perpendicular bisector is a line that divides another line perpendicularly (at 90 degrees) into two equal parts.

Since HK is the perpendicular bisector of GJ, HK divides line GJ into two equal parts which is GK and KJ. hence:

GK =  KJ,  also GK + KJ = GJ

Since GK = KJ:

2x + 10 = 3x - 15

collecting like terms:

3x - 2x = 10 + 15

simplifying gives:

x = 25

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