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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.

Yes, it does.

Step-by-step explanation:

The equation y = 4x is the same as saying:

"The y coordinate is 4 times as much as the x coordinate"

So, with the coordinate set of (2, 8):

y = 4x

8 = 4 * 2

This is correct, meaning the coordinate does fit the equation.

Hope this helps!