Question

1. solve for x.

4
4.8
3
3.6

Explanation:

Step1: Apply the triangle - proportionality theorem

Since $QT\parallel BC$, we have $\frac{AQ}{QB}=\frac{AT}{TC}$. Here, $AQ = 5$, $QB = 3$, and $AT = 6$, $TC=x$. So, $\frac{5}{3}=\frac{6}{x}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{5}{3}=\frac{6}{x}$ gives us $5x=3\times6$.

Step3: Solve for x

$5x = 18$, then $x=\frac{18}{5}=3.6$.

Answer:

$3.6$