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3 years ago

Need correct answer please

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

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

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