Question

which value of x would make tv || qs? 3 8 10 11

Explanation:

Step1: Use similar - triangle property

If $TV\parallel QS$, then $\frac{RT}{TQ}=\frac{RV}{VS}$. So, $\frac{x + 4}{x-3}=\frac{x + 10}{x}$.

Step2: Cross - multiply

$(x + 4)x=(x - 3)(x + 10)$.

Step3: Expand

$x^{2}+4x=x^{2}+10x-3x - 30$.

Step4: Simplify

$x^{2}+4x=x^{2}+7x - 30$, then $3x = 30$, $x = 10$.

Answer:

C. 10