Question

Please solve for x in the pic below. Thanks.

Answer 1

Answer:

$x = 12.$

Step-by-step explanation:

$because \: \: triangle \: \: rzy \: is \: similar \: to \: rsq \\ \\ therefore \: \: \: \: \frac{rz}{rs} = \frac{ry}{rq} = \frac{yz}{qs} \\ \\ \frac{1}{2} = \frac{x + 2}{3x - 8} \: \: \: \: \: because \: \: rz = sz \: therefore \: \: \: rz = \frac{1}{2} rs \\ \\ 3x - 8 = 2x + 4 \\ \\x = 12.$