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What is the answer to this?

What is the answer to this?-example-1

1 Answer

6 votes

Answer:

y = 3, TU = 6

Explanation:

SU is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is


(SV)/(ST) =
(VU)/(TU) , substitute values


(24)/(4y-2) =
(14.4)/(2y) ( cross- multiply )

14.4(4y - 2) = 48y

57.6y - 28.8 = 48y ( subtract 48y from both sides )

9.6y - 28.8 = 0 ( add 28.8 to both sides )

9.6y = 28.8 ( divide both sides by 9.6 )

y = 3

Then

TU = 2y = 2 × 3 = 6

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