1 Answer

Dawnette · Answer 1 · 2020-03-04T18:53:54+0000

Explanation:

If a point on a line is the midpoint, that means that the two segments created by the point are equal. In this case, XA = AY

We can set the two lengths equal to each-other.

$3x = 5x - 12\\3x + 12 = 5x -12 + 12\\3x+12 = 5x\\2x = 12\\x =6$

Now that we know x = 6, we can solve for the lengths of each segment.

XA = 3x = 3(6) = 18

AY = 5x - 12 = 5(6) - 12 = 30 -12 = 18

XY = 3x + 5x - 12 = 8x - 12 = 8(6) - 12 = 48 - 12 = 36

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