if jm = 5x - 8 and lm = 2x - 6, which expression represents jl? j k l m 3x - 2 3x - 14 7x - 2 7x - 14

Explanation:

Step1: Identify segment - addition postulate

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

Step2: Substitute given expressions

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

Step3: Simplify the expression

[ \begin{align*} JL&=5x-8 - 2x + 6\ &=(5x-2x)+(-8 + 6)\ &=3x-2 \end{align*} ]

Answer:

A. $3x - 2$