Question

Q bisects PR. QR=48 and PR=4n. Find n and PR. a) n = 12; PR = 48 b) n = 24; PR = 48 c) n = 48; PR = 24 d) n = 6; PR = 24

Answer 1

Let's use the information given in the problem to find the values of n and PR.

We are told that Q bisects PR, which means that it divides PR into two equal parts. So, if PR = 4n, then PQ = QR = 4n/2 = 2n.

We are also given that QR = 48. Therefore, we can write:

2n = 48

Now, we can solve for n:

2n = 48

Divide both sides by 2:

n = 48/2

n = 24

So, we have found that n = 24.

Now, let's find PR using the value of n:

PR = 4n

PR = 4(24)

PR = 96

So, we have found that PR = 96.

The correct answer is:

b) n = 24; PR = 96

Explanation: