Question

Find IJ, JK, and IK
Analyze the diagram below and complete the instructions that follow.

Answer 1

IJ=x-4
JK=5x+12
IK=9x-19

IJ+JK=IK
(x-4)+(5x+12)=(9x-19)
x-4+5x+12=9x-19
6x+8=9x-19
6x+8-6x+19=9x-19-6x+19
27=3x
3x=27
3x/3=27/3
x=9

IJ=x-4=9-4→IJ=5
JK=5x+12=5(9)+12=45+12→JK=57
IK=9x-19=9(9)-19=81-19→IK=62

Answer: Option B. IJ=5, JK=57, IK=62