Geometry

The answer is D. RS = 14 and ST = 26.

1. First, write an equation based on the segment - addition postulate:

Since , and , , , the equation is .

2. Then, simplify the left - hand side of the equation:

Combine like terms: , which simplifies to .

3. Next, solve for :

Subtract 5 from both sides of the equation: , so .

Divide both sides by 5: , and

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