# geometry

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given xz=72, xy=5x+3 and yz=8x-9. is Y the midpoint of ling xz?

• geometry -

xz = 72
xy = 5x + 3
yz = 8x - 9

5x + 3 + 8x - 9 = 72
13x - 6 = 72
13x = 78
x = 6

So, for y to be the midpoint of xz,
xy = yz

5x + 3 = 8x - 9
x = 6
5(6) + 3 = 8(6) - 9
30 + 3 = 48 - 9
33 not = 39

y is not the midpoint

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