Question

find the measure of (overline{sv}).
image: line segment with points s, v, t. length from s to t is 4.1 in, from v to t is 2.6 in.

Explanation:

Step1: Identify the segment lengths

We know the length of \( ST \) is \( 4.1 \) inches and the length of \( VT \) is \( 2.6 \) inches. To find \( SV \), we use the segment addition postulate, which states that \( SV + VT = ST \). So we can solve for \( SV \) by subtracting \( VT \) from \( ST \).

Step2: Calculate \( SV \)

Using the formula \( SV = ST - VT \), substitute the known values: \( SV = 4.1 - 2.6 \).
\( 4.1 - 2.6 = 1.5 \)

Answer:

The measure of \( \overline{SV} \) is \( 1.5 \) inches.