Question

m is the midpoint of $overline{ln}$. if $lm = 5x$ and $mn=x + 8$, what is $lm?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up equation

Since M is mid - point, $5x=x + 8$.

Step2: Solve for x

$5x-x=8$, so $4x = 8$, then $x = 2$.

Step3: Find LM

Substitute $x = 2$ into $LM = 5x$, so $LM=5\times2 = 10$.

Answer:

10