Question

if uv = 19 and vw = 14, what is uw?
u v w
19 14
write your answer as a decimal or integer.
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Explanation:

Step1: Identify the segment addition

Since \( U \), \( V \), and \( W \) are collinear with \( V \) between \( U \) and \( W \), we use the segment addition postulate: \( UW = UV + VW \).

Step2: Substitute the given values

We know \( UV = 19 \) and \( VW = 14 \), so substitute these into the formula: \( UW = 19 + 14 \).

Step3: Calculate the sum

\( 19 + 14 = 33 \).

Answer:

33