Question

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

Answer 1

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