Question

if $jk = 6$, $kl = x + 8$, and $jl = 3x$, what is $kl$? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment addition postulate

From the number line, we know that \( JK + KL = JL \). Substituting the given values, we get \( 6+(x + 8)=3x \).

Step2: Simplify and solve for \( x \)

Simplify the left - hand side: \( 6+x + 8=3x\), which becomes \( x + 14=3x \).
Subtract \( x \) from both sides: \( 14=3x - x\), so \( 2x=14 \).
Divide both sides by 2: \( x=\frac{14}{2}=7 \).

Step3: Find the length of \( KL \)

We know that \( KL=x + 8 \). Substitute \( x = 7 \) into the expression for \( KL \): \( KL=7 + 8=15 \).

Answer:

15