Question

M is the mid point of LN.If MN = x + 6 and LN = 5x + 6, what is MN?

Answer 1

If M is the midpoint, MN = 1/2×LN.

... (x+6) = (1/2)×(5x+6)

... 2x +12 = 5x +6 . . . . . . multiply by 2

... 6 = 3x . . . . . . . . . . . . . subtract 2x+6

... 2 = x . . . . . . . . . . . . . . divide by 3

MN = x+6 = 2+6

MN = 8