SOLUTION: Segment XY bisects segment VW at T. What is the value of b if VT = 4a, TW = 8b, XT = 3a, TY = 4b, and XY = 60.

Question 1104274: Segment XY bisects segment VW at T. What is the value of b if VT = 4a, TW = 8b, XT = 3a, TY = 4b, and XY = 60.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Drawing (not to scale):

"Segment XY bisects segment VW at T" means that
T is the midpoint of VW,
or in other words, that
VT=TW , so ---> ---> .

"Segment XY bisects segment VW at T" also means that
point T is a point in segment XY, so that
XT+TY=XY , so .

As we had already found that ,
er can replace the expression for , to get
---> ---> ---> ---> .
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