Question

in the figure below, r is between q and s, and s is between r and t. if qs = 11, rs = 8, and rt = 15, find qt.
qt =
(figure shows q, r, s, t on a line; box for qt and buttons 5 and ×)

Explanation:

Step1: Find QR

Since \( R \) is between \( Q \) and \( S \), we know that \( QS = QR + RS \). We are given \( QS = 11 \) and \( RS = 8 \). So, we can solve for \( QR \) by rearranging the formula: \( QR = QS - RS \).
\( QR = 11 - 8 = 3 \)

Step2: Find QT

Now, we know that \( S \) is between \( R \) and \( T \), so \( RT = RS + ST \), but we need \( QT \). Notice that \( QT = QR + RT \) (because \( Q \) to \( R \) to \( T \) is the path). We found \( QR = 3 \) and \( RT = 15 \), so we add them together.
\( QT = QR + RT = 3 + 15 = 18 \)

Answer:

\( 18 \)