Posted by **amy** on Thursday, February 3, 2011 at 4:21pm.

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

explain answer.

- geometry -
**helper**, Thursday, February 3, 2011 at 5:19pm
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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