Question

it says select the correct equation and the correct answer to solve for x using the triangle below. so I need help finding the correct equation along with the correct answer because our graded papers they do not provide the correct answer if we get them wrong so we can't really study off the wrong answer

Answer 1

According to the diagram,

$\Delta\text{QLJ}\approx\Delta QRP$

Since,

$\begin{gathered} QR=2QL \\ QP=2QR \end{gathered}$

Similarly,

$\begin{gathered} PR=2LK \\ 2x-8=2(2x-15)\ldots..\text{ (1)} \end{gathered}$

It is equivalent to,

$\begin{gathered} 2x-8=2(2x-15) \\ 2x-8=4x-30 \\ 2x=22 \\ x=11\ldots\ldots\text{ (2)} \end{gathered}$

Hence, the correct options are (c) and (f).