Question

segment addition postulate (be sure to draw a diagram)
question
point r is on line segment qs. given rs = 5 and qs = 16, determine the length of \\(\overline{qr}\\).
answer attempt 1 out of 3
\\(qr = \\)

Explanation:

Step1: Apply Segment Addition Postulate

The Segment Addition Postulate states that if a point \( R \) is on segment \( QS \), then \( QR + RS = QS \). We know \( RS = 5 \) and \( QS = 16 \), so we can write the equation \( QR + 5 = 16 \).

Step2: Solve for \( QR \)

To find \( QR \), we subtract \( 5 \) from both sides of the equation. So, \( QR = QS - RS = 16 - 5 \).

Step3: Calculate the result

\( 16 - 5 = 11 \).

Answer:

\( 11 \)