Question

nd then find the specified lengths.

6x + 11 9x − 13
j ---- m ---- k

x=__ jm= mk=__

Explanation:

Step1: Assume M is the midpoint (since JM and MK lengths are equal as per the handwritten answer, so JM = MK)

Set \( 6x + 11 = 9x - 13 \)

Step2: Solve for x

Subtract \( 6x \) from both sides: \( 11 = 3x - 13 \)
Add 13 to both sides: \( 24 = 3x \)
Divide by 3: \( x = 8 \)

Step3: Find JM

Substitute \( x = 8 \) into \( 6x + 11 \): \( 6(8) + 11 = 48 + 11 = 59 \)

Step4: Find MK

Substitute \( x = 8 \) into \( 9x - 13 \): \( 9(8) - 13 = 72 - 13 = 59 \)

Answer:

\( x = 8 \), \( JM = 59 \), \( MK = 59 \)