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.

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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) About Me  (Show Source):
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"Segment XY bisects segment VW at T" means that
T is the midpoint of VW,
or in other words, that
VT=TW , so 4a=8b ---> 4a%2F4=8b%2F4 ---> a=2b .

"Segment XY bisects segment VW at T" also means that
point T is a point in segment XY, so that
XT+TY=XY , so 3a%2B4b=60 .

As we had already found that a=2b ,
er can replace the expression 2b for a%29%29%29+in+%7B%7B%7B3a%2B4b=60 , to get
3%282b%29%2B4b=60 ---> 6b%2B4b=60 ---> 10b=60 ---> 10b%2F10=60%2F10 ---> highlight%28b=6%29 .