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Point U is on line segment overline TV. Given UV=3 and TU=12 , determine the length overline TV.

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Final answer:

To find the length of line segment TV, simply add the lengths of segments TU and UV, which are 12 and 3 units respectively, resulting in TV having a length of 15 units.

Step-by-step explanation:

To determine the length of the line segment TV, we need to understand that the length of a line segment is the sum of the lengths of its parts. Here, we know that point U is on line segment TV, and we are given that UV = 3 units and TU = 12 units. We can sum these two distances to find the length of TV.

Step-by-step explanation:

  1. Identify the given lengths: TU and UV.
  2. Sum the lengths: TU + UV = TV.
  3. Substitute the known values: 12 units (for TU) + 3 units (for UV).
  4. Calculate the sum: 12 + 3 = 15 units.

Therefore, the length of the line segment TV is 15 units.

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