Question

nd then find the specified lengths.

6x + 11 9x - 13
j m k

x=__ jm= mk=__

nd the specified lengths.

Explanation:

Step1: Assume M is the midpoint (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:

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