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Complete the statement needed to find the missing value then find the missing value.

Complete the statement needed to find the missing value then find the missing value-example-1

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Given:

QT = x + 6

TR = x - 4

SR = 12

PS = 27

Hence;


(12)/(27)=(x-4)/(x+6)

Solving for x:


\begin{gathered} 12(x+6)=27(x-4) \\ \\ 12x+72=27x-108 \\ \\ 12x-27x=-108-72 \\ \\ -15x=-180 \\ \\ x=12 \end{gathered}

Replacing x on QT and TR:

QT = x + 6 = 12 + 6 = 18

TR = x - 4 = 12 - 4 = 8

ANSWER

QT = 18

TR = 8

User Solomon Vimal
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