Question

Q, R, S, and T are collinear. If QS = 3x + 1, ST = 2x - 1, and QT = 4x + 3, find the length of QT. A) 12x + 2 B) 10x + 2 C) 14x + 2 D) 8x + 2

Answer 1

To find the length of QT, sum up the lengths of QS and ST: QT = (3x + 1) + (2x - 1) = 5x. The correct answer is A) 12x + 2.

Step-by-step explanation:

To find the length of QT, we need to sum up the lengths of QS and ST. We have QS = 3x + 1 and ST = 2x - 1. Adding these two equations gives us QT = (3x + 1) + (2x - 1) = 5x.

So, the length of QT is 5x. Therefore, the correct answer is A) 12x + 2.

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