Question

point u is on line segment (overline{tv}). given (tv = 19) and (uv = 15), determine the length (overline{tu}).

Explanation:

Step1: Recall segment addition postulate

Since U is on \( \overline{TV} \), we have \( TV = TU + UV \).

Step2: Solve for \( TU \)

Rearrange the formula: \( TU = TV - UV \). Substitute \( TV = 19 \) and \( UV = 15 \): \( TU = 19 - 15 \).

Step3: Calculate the result

\( 19 - 15 = 4 \).

Answer:

\( 4 \)