Question

In a given scenario where Q is situated between P and R, the following relationships hold: PQ = 2w - 3, QR = 4 + w, and PR = 31. We need to determine the values of w, PR, and QR.

Answer 1

By summing up PQ and QR which equals PR, and solving the resulting equation, we found that w = 10, PR = 31 (given), and QR = 14.

Step-by-step explanation:

To solve for w, PR, and QR in the scenario where Q is situated between P and R, we have the following information:

• PQ = 2w - 3
• QR = 4 + w
• PR = 31

Since Q is between P and R, the sum of PQ and QR is equal to PR. This gives us:

(2w - 3) + (4 + w) = 31

Combine like terms:

3w + 1 = 31

Now solve for w:

3w = 30

w = 10

With the value of w, we can find PQ and QR:

PQ = 2(10) - 3 = 17

QR = 4 + 10 = 14

Thus, using algebra, we have found that w is 10, PQ is 17, and QR is 14.