Question

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

Explanation:

Step1: Use segment - addition postulate

Since $JL = JK+KL$, we substitute the given expressions. So, $84=(5x + 8)+(4x + 4)$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms on the right - hand side: $84=(5x+4x)+(8 + 4)$, which simplifies to $84 = 9x+12$.

Step3: Isolate the variable term

Subtract 12 from both sides of the equation: $84−12=9x+12−12$, resulting in $72 = 9x$.

Step4: Solve for x

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

Answer:

$x = 8$