Answer:
IJ = 3x - 5
JK = 2x - 1
IK = 3x + 2
IJ + JK = IK segment addition postulate
3x - 5 + 2x - 1 = 3x + 2 substitution
5x - 6 = 3x + 2 simplify (add like terms)
2x - 6 = 2 subtraction property (subtracted 3x from both sides)
2x = 8 addition property (added 6 to both sides)
x = 4 division property (divided both sides by 2)
JK = 2x - 1 = 2(4) - 1 = 8 - 1 = 7
Answer: JK = 7
