Question

7) Line Segment PR is 5 ft. Find the length of Line Segment PQ and QR. (Hint: use the segment addition postulate.)

Answer 1

PQ = 1 ft

QR = 4 ft

Explanation:

From the picture attached,

Segment PR has been divided into two parts by a point Q.

Length of segment PR = 5 feet

Length of segment PQ = (15x - 2) ft

Length of segment QR = (5x + 3) ft

Since, PR = PQ + QR

5 = (15x - 2) + (5x + 3)

5 = 20x + 1

20x = 4

x =
`(4)/(20)`

x = 0.2

PQ = 15x - 2

= 15(0.2) - 2

= 3 - 2

= 1 ft

QR = 5x + 3

= 5(0.2) + 3

= 1 + 3

= 4 ft