Question

1. use the image below to answer the question. using the segment addition postulate, find the value of x. jk = 3x - 4 kl = 5x + 6 jl = 9x - 8 2 10 4 18

Explanation:

Step1: Apply Segment Addition Postulate

The segment addition postulate states that \( JK + KL = JL \). Substitute the given expressions:
\( (3x - 4) + (5x + 6) = 9x - 8 \)

Step2: Simplify Left Side

Combine like terms:
\( 3x + 5x - 4 + 6 = 8x + 2 \)
So the equation becomes \( 8x + 2 = 9x - 8 \)

Step3: Solve for \( x \)

Subtract \( 8x \) from both sides:
\( 2 = x - 8 \)
Add 8 to both sides:
\( x = 10 \)

Answer:

10