Question

jl = 84. if jk = 5x + 8 and kl = 4x + 4, then x =?

Explanation:

Step1: Apply segment - addition postulate

Since $JL = JK+KL$, we have the equation $84=(5x + 8)+(4x + 4)$.

Step2: Combine like - terms

$84 = 5x+4x+8 + 4$, which simplifies to $84=9x + 12$.

Step3: Isolate the variable term

Subtract 12 from both sides: $84−12=9x$, so $72 = 9x$.

Step4: Solve for x

Divide both sides by 9: $x=\frac{72}{9}=8$.

Answer:

$8$