Question

M is the midpoint of LN. what is LM?

Answer 1

Given, 

M is the midpoint of LN.

Thus,

LM = MN

3x = 2x + 2

3x - 2x = 2

x = 2

Hence,

LM = 3x = 3 * 2 = 6

Hence, LM is 6 units.

Answer 2

Answer:  LM = 6 units.

Step-by-step explanation: Given that the point M is the mid-point of the line segment LN shown in the figure.

We are to find the length of LM.

From the figure, we note that

LM = 3x  and  MN = 2x + 2.

Since M is the mid-point of LN, so it will divide LN in two equal parts.

That is, we must have

$LM=MN\\\\\Rightarrow 3x=2x+2\\\\\Rightarrow 3x-2x=2\\\\\Rightarrow x=2.$

Therefore, we get

$LM=3\times2=6~\textup{units}.$

Thus, LM = 6 units.