If PT = 7x - 11 and PR = 2x + 3, what is the length of RT? Roundto the nearest tenth

Lakenen asked Jan 23, 2023

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Lakenen asked Jan 23, 2023

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22 votes

Give PT = 7x - 11 and PR = 2x + 3.

Observe that, PT = PR

$\Rightarrow7x-11=2x+3$

Solving for x; we would get

$\begin{gathered} \text{ Collecting like terms} \\ 7x-2x=11+3 \\ \Rightarrow5x=14 \\ \Rightarrow x=(14)/(5) \end{gathered}$

Hence, RT = 2 multiplied by PT or 2 multiplied by RT.

$\begin{gathered} RT=2(2x+3) \\ \text{ Since }x=(14)/(5), \\ RT=2(2((14)/(5))+3)=2((28)/(5)+3)=(86)/(5)\approx17.2 \end{gathered}$

Therefore, RT is 17.2

Archlight answered Jan 27, 2023

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