Question

$\overline{rs} \parallel \overline{qt}$. find $qr$.
$qr = \square$

Explanation:

Step1: Identify segment lengths

$SP = 66$, $ST = 22$, so $TP = SP - ST = 66 - 22 = 44$

Step2: Apply Triangle Proportionality Theorem

Since $\overline{RS} \parallel \overline{QT}$, $\frac{QR}{RP} = \frac{ST}{SP}$. Let $QR = x$, then $RP = 33$.
$\frac{x}{33} = \frac{22}{66}$

Step3: Solve for $x$

Simplify $\frac{22}{66} = \frac{1}{3}$, so $x = 33 \times \frac{1}{3}$

Answer:

22