Respuesta :

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

[tex]LM=MN\\\\\Rightarrow 3x=2x+2\\\\\Rightarrow 3x-2x=2\\\\\Rightarrow x=2.[/tex]

Therefore, we get

[tex]LM=3\times2=6~\textup{units}.[/tex]

Thus, LM = 6 units.

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