Question

M is the midpoint of LN. If LM = 2x and MN = x + 8, what is MN?

Answer 1

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