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Please show workings.

  LM = 57

Explanation:

A median of a triangle goes from a vertex to the midpoint of the opposite side. The three medians of this triangle are these segments:

The three medians intersect at the centroid point, which is point Q.

It turns out that the centroid cuts each median such that LQ is twice as long compared to QM. We can say

LQ = 2*QM

Applying the segment addition postulate and substitution, we then get,

LQ + QM = LM

2QM + QM = LM

3QM = LM

LM = 3QM

Now let's use LQ = 38 to find QM

LQ = 2*QM

38 = 2*QM

QM = 38/2

QM = 19

This then means,

LM = 3QM

LM = 3*19

LM = 57

Segment LM is 57 units long.

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!