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R. S, and 7' are collinear. S is between R and T. RS - 2w + 1, ST-w-1, and RT-18. Use the Segment Addition Postulate to solve for w. Then determine the length of RS.

A) W=8, 12
B) W=12, 20
C) W=10, 25
D) W=18, 37

User Biboozz
by
9.4k points

1 Answer

6 votes

Final answer:

The problem statement seems to contain an error as solving using the Segment Addition Postulate results in w = 6, which is not listed among the answer choices. Subsequently, the length of RS is found to be 13 when using the correct value of w.

Step-by-step explanation:

The question involves using the Segment Addition Postulate to solve for the variable w, and then finding the length of segment RS. Given is that points R, S, and T are collinear with S between R and T, and we have RS = 2w + 1, ST = w - 1, and RT = 18. By the Segment Addition Postulate, RS + ST = RT. Plugging in the given expressions, we have (2w + 1) + (w - 1) = 18.

Simplifying, we get 3w = 18, and solving for w gives us w = 6, which is not an option in the provided multiple-choice answers. This indicates a potential error in the problem statement. However, continuing with the correct value of w, we substitute w back into the expression for RS: RS = 2(6) + 1, which results in RS being 13. Since none of the provided options match this solution, there might be a typo in the original question or the provided options.

User AlixB
by
8.6k points
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