Five points (P, Q, R, S, and T) are on a line in the order given. The (September 2023 - G01)

Correct answer: C. 24.
Let's analyze the information and solve for the length of PT:
Points on a Line: We are given that the five points (P, Q, R, S, and T) are on a line in the order P-Q-R-S-T. This means the total length of PT is the sum of all the segment lengths between them.

Segment Lengths:
PR = 12 inches
QT = 15 inches
QR = ST (given) - let's call this unknown length x

Additional Information:
PQ = RS (given) - we can use this later if needed.
Solve for PT:
PT = PQ + QR + RS + ST
Since PQ = RS and QR = ST (as denoted by x): PT = PQ + x + RS + x
Simplify:

PT = 2 * PQ + 2 * x
We don't have the value of PQ, but we can eliminate it using the given information that PR = 12 and PQ = RS.

Since the points are on a line, the total length of PR must be the sum of the lengths of its sub-segments:
PR = PQ + QR

Substitute the known values:
12 = PQ + x

Now, substitute this expression for PQ in the equation for PT:
PT = 2 * (12 - x) + 2 * x

Combine like terms:
PT = 24 - 2x + 2x
PT = 24

Therefore, the length of PT is 24 inches.