Question

point u is on line segment \overline{tv}. given tv = 3x, uv = x + 1, and tu = x, determine the numerical length of \overline{tu}.
answer attempt 1 out of 2
tu =

Explanation:

Step1: Use the segment addition postulate

Since \(U\) is on \(\overline{TV}\), \(TV = TU+UV\). Substitute the given expressions: \(3x=x+(x + 1)\).

Step2: Solve the equation for \(x\)

Simplify the right - hand side: \(3x=x+x + 1\), so \(3x=2x + 1\). Subtract \(2x\) from both sides: \(3x-2x=2x + 1-2x\), which gives \(x = 1\).

Answer:

\(1\)