Question

measuring segments and angles
in exercises 1–4, use the figure shown. find the length of each segm
number line with r at -5, s at -2, t at 2, u at 8

1. ( rs = \boxed{} ) 2. ( rt = \boxed{} ) 3. ( st = \boxed{} ) 4. ( ru = \boxed{} )

Explanation:

1. Finding \( RS \)

Step1: Identify coordinates of R and S

R is at \( -5 \), S is at \( -2 \).

Step2: Calculate distance \( RS \)

Distance between two points on a number line is \( |x_2 - x_1| \). So \( RS = | -2 - (-5) | = |3| = 3 \).

Step1: Identify coordinates of R and T

R is at \( -5 \), T is at \( 2 \).

Step2: Calculate distance \( RT \)

Using distance formula \( |2 - (-5)| = |7| = 7 \).

Step1: Identify coordinates of S and T

S is at \( -2 \), T is at \( 2 \).

Step2: Calculate distance \( ST \)

\( |2 - (-2)| = |4| = 4 \).

Answer:

\( 3 \)

2. Finding \( RT \)