Answer: RS = 48
Concept:
Here, we need to know the concept of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
ST = 16
RT = 64
Given expression deducted from the segment addition postulate
RT = RS + ST
RS = RT - ST
Substitute values into the expression
RS = 64 - 16
Simplify by addition
RS = [tex]\boxed{48}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
