Respuesta :

In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN. 

The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
             LN + LM = MN

We are given with the lengths of the smalller segments and substituting the known values,
             MN = 54 + 31
            MN = 85

ANSWER: MN = 85
fichoh

The value of the segment MN is 23

LN = 54

LM = 31

MN =?

LN = LM + MN

54 = 31 + MN

Subtract 31 from both sides

54 - 31 = 31 + MN - 31

23 = MN

THE value of the segment MN is 23.

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