Answer:
RS = 97
Step-by-step explanation:
Let us solve the question
∵ The point S is the midpoint of segment RT
→ That means S divides RT into two equal part RS and ST
∴ S divides RT into two equal parts
∴ RS = ST
∵ RS = 5x + 17
∵ ST = 8x - 31
→ Equate their length
∴ 8x - 31 = 5x + 17
→ Subtract 5x from both sides
∵ 8x - 5x - 31 = 5x - 5x + 17
∴ 3x - 31 = 17
→ Add 31 to both sides
∵ 3x - 31 + 31 = 17 + 31
∴ 3x = 48
→ Divide both sides by 3
∴ x = 16
→ Substitute x by 16 in the length of RS
∵ RS = 5(16) + 17
∴ RS = 80 + 17
∴ RS = 97
