Question

1. $overline{sv}$

line segment with points s, v, t; total length from s to t is 4.1 in, length from v to t is 2.6 in

Explanation:

Step1: Identify the segment lengths

We know that the length of \( ST \) is \( 4.1 \) inches and the length of \( VT \) is \( 2.6 \) inches. To find the length of \( SV \), 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 \( SV = ST - VT \), we substitute the given values: \( SV = 4.1 - 2.6 \).
Performing the subtraction, \( 4.1 - 2.6 = 1.5 \).

Answer:

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