Question

find the length of \\(\overline{uw}\\) if \\(w\\) is between \\(u\\) and \\(v\\), \\(uv = 16.8\\) centimeters, and \\(vw = 7.9\\) centimeters.

Explanation:

Step1: Recall segment addition postulate

Since \( W \) is between \( U \) and \( V \), by the segment addition postulate, we have \( UV = UW + VW \).

Step2: Solve for \( UW \)

We can rearrange the formula to solve for \( UW \): \( UW = UV - VW \).
Substitute \( UV = 16.8 \) cm and \( VW = 7.9 \) cm into the formula:
\( UW = 16.8 - 7.9 \)
\( UW = 8.9 \)

Answer:

The length of \( \overline{UW} \) is \( 8.9 \) centimeters.