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Answer:

  JL = 78

Step-by-step explanation:

The shorter segment is a midline, so is half the length of the longer one.

  2(5x-16) = 4x +34

  5x -16 = 2x +17 . . . . . divide by 2

  3x = 33 . . . . . . . . . . add 16-2x

  x = 11 . . . . . . . . . . divide by 3

Then segment JL is ...

  JL = 4x +34 = 4(11) +34 = 44+34

  JL = 78

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