Question

Point U is on line segment TV. Given TV = 3x, UV = x + 1, and TU = x, determine the numerical length of TU. Options: Option 1: 3x Option 2: x + 1 Option 3: x Option 4: Not applicable (no options required)

Answer 1

To determine the numerical length of TU, we can set up an equation, simplify it, and solve for x. The value of x is 1, so the length of TU is 1.

Step-by-step explanation:

To determine the numerical length of TU, we need to find the value of x. Since UV = x + 1 and TU = x, we can set up an equation: 3x = x + 1 + x (combining the lengths of TV and UV). Simplifying this equation, we get 3x = 2x + 1. Subtracting 2x from both sides, we find x = 1. Therefore, the numerical length of TU is 1.

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