Question

if jk = 4, kl = 2x, and jl = x + 8, what is kl? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Apply segment - addition postulate

Since $JL=JK + KL$, we substitute the given values: $x + 8=4+2x$.

Step2: Solve the equation for $x$

Subtract $x$ from both sides: $8 = 4+2x - x$. So, $8=4 + x$.
Then subtract 4 from both sides: $x=8 - 4$. Thus, $x = 4$.

Step3: Find the value of $KL$

Since $KL = 2x$ and $x = 4$, then $KL=2\times4=8$.

Answer:

8