Question

k is the midpoint of $overline{jl}$. jk = 15 and jl = 2n + 6. find n, kl, and jl.

Explanation:

Step1: Use mid - point property

Since K is the midpoint of $\overline{JL}$, then $JK = KL$ and $JL=JK + KL = 2JK$.

Step2: Find the value of JL

Given $JK = 15$, then $JL=2\times15=30$.

Step3: Solve for n

We know that $JL = 2n+6$, and $JL = 30$. So, $2n+6 = 30$. Subtract 6 from both sides: $2n=30 - 6=24$. Then divide both sides by 2: $n=\frac{24}{2}=12$.

Answer:

$n = 12$
$KL = 15$
$JL = 30$