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To find the length of segment RU, we can use the property that states that when two chords intersect inside a circle, the product of the two segments of each chord is equal.
In this case, we have:
RT * TV = RU * UV
5 * 8 = 4 * UV
Simplifying this equation, we get:
40 = 4 * UV
Dividing both sides by 4, we find that UV = 10.
Therefore, the length of segment RU is 10.
Answer: D. 10.0