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MisterBrian

Answer:

MN = 16 units

Step-by-step explanation:

Mid point is the middle point of a line segment, dividing the segment into two halves.

As M is the mid-point of segment LN, we see LM = MN as the mid point divide the segment into two equal halves .

Given LM = 2x and MN = x + 8, we see

  • LM = MN
  • 2x = x + 8

Subtract x from both sides:

  • 2x-x = 8
  • x = 8

Thus MN = 8+8 = 16 units

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