Respuesta :

Solution

For this case we know that M is the midpointof the line LN

And we also know that:

LM= 5x+4 , MN= 12x-24

Then we can find the value of x using this equation:

LM = MN (By definition of midpoint)

Replacing we got:

5x+4= 12x-24

Solving we have:

4+24 = 12x -5x

28 = 7x

x= 28/7= 4

And solving for LN we got:

LN= LM + MN

LM= 5*4+4= 24

MN= 12*4 -24=24

Then:

LN= 24+24= 48

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