SOLUTION: Assume M is the midpoint of segment UV, X is the midpoint of segment UM, and Y is the midpoint of segment XV If MY = 5, find XY and UV

Algebra ->  Length-and-distance -> SOLUTION: Assume M is the midpoint of segment UV, X is the midpoint of segment UM, and Y is the midpoint of segment XV If MY = 5, find XY and UV      Log On


   

Question 1121653: Assume M is the midpoint of segment UV, X is the midpoint of segment UM, and Y is the midpoint of segment XV
If MY = 5, find XY and UV
Answer by solver91311(24713) About Me  (Show Source):
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UM is one-half of UV, and XM is half of that, so XM must be one-fourth of UV. Also MV is one-half of UV, so XV must be three-fourths of UV. Since Y is the midpoint of segment XV, then YV must be three-eighths of UV, and MY, which is 5, must be one-eighth of UV. So if 5 is one-eighth of UV, UV must be 40 and XY must be 30.


John

My calculator said it, I believe it, that settles it