if jm = 5x - 8 and lm = 2x - 6, which expression represents jl?\nj k l m\n3x - 2\n3x - 14\n7x - 2\n7x - 14

Explanation:

Step1: Identify the relationship

By the segment - addition postulate, $JL=JM - LM$.

Step2: Substitute the given expressions

Substitute $JM = 5x - 8$ and $LM=2x - 6$ into the formula: $JL=(5x - 8)-(2x - 6)$.

Step3: Simplify the expression

First, distribute the negative sign: $JL = 5x-8 - 2x + 6$. Then, combine like - terms: $(5x-2x)+(-8 + 6)=3x-2$.

Answer:

$3x - 2$