Question

segment addition / subtraction (numbers) unique id: 0534 score: 5/10 penalty: none question point q is on line segment \\(\overline{pr}\\). given \\(pr = 16\\) and \\(pq = 4\\), determine the length \\(\overline{qr}\\). answer attempt 1 out of 3 \\(qr = \square\\) submit answer

Explanation:

Step1: Recall segment addition postulate

The segment addition postulate states that if a point \( Q \) is on segment \( \overline{PR} \), then \( PR = PQ + QR \).

Step2: Solve for \( QR \)

We know \( PR = 16 \) and \( PQ = 4 \). Substitute these values into the equation \( PR = PQ + QR \), we get \( 16 = 4 + QR \). To find \( QR \), subtract \( 4 \) from both sides of the equation: \( QR = 16 - 4 \).

Step3: Calculate the result

\( 16 - 4 = 12 \).

Answer:

\( 12 \)