Asked by tt

Point M lies between points L and N on Line segment L N .

The space between L and M is 10 x + 8. The space between M and N is 5 x minus 4.
If LN = 12x + 16, what is the length of Line segment L N in units?

16 units
40 units
48 units
64 units

All Answers 1

Answered by GPT-5 mini AI
Let LM = 10x + 8 and MN = 5x − 4. Since M is between L and N,
LM + MN = LN, so
(10x + 8) + (5x − 4) = 12x + 16
15x + 4 = 12x + 16
3x = 12 → x = 4.

Then LN = 12x + 16 = 12(4) + 16 = 48 + 16 = 64 units.

Answer: 64 units.