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

## Answer this Question

## Related Questions

- geometry - write a 2 column proof, Given D is the midpoint of AC, E is the ...
- Reading - Read the paragraph below . I'll show them that I can write well , "...
- Geometry - Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point...
- Geometry - 1.1.Determine whether the regular pentagon has reflection symmetry, ...
- Geometry - W, R, and S are points on a number line, and W is the midpoint of ...
- geometry - One endpoint and the midpoint of a segment are given. Find the ...
- geometry - B is the midpoint of and D is the midpoint of . Solve for x, given BD...
- Geometry; Check answers? - For each graph, find (a)AB to the nearest tenth and (...
- geometry - M is the midpoint ofSymbol for segment A B.. Line segment A B, with ...
- Geometry - Did I solve the following correctly? I had to the fin the midpoint. ...