Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question point v is on line segment \\(\\overline{uw}\\). given \\(uv =…

Question

question
point v is on line segment \\(\overline{uw}\\). given \\(uv = 3\\) and \\(vw = 6\\), determine the length \\(\overline{uw}\\).
answer attempt 1 out of 2
\\(uw = \square\\) submit answer

Explanation:

Step1: Apply segment addition postulate

Since point \( V \) is on segment \( \overline{UW} \), by the segment addition postulate, we have \( UW = UV + VW \).

Step2: Substitute given values

We know \( UV = 3 \) and \( VW = 6 \). Substituting these values into the formula, we get \( UW = 3 + 6 \).

Step3: Calculate the result

\( 3 + 6 = 9 \).

Answer:

\( 9 \)