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liraira [26]
2 years ago
11

S is the midpoint of RT. If RS = 7y - 4 and ST = 2y + 6, What is the length of RT?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
8 0

Answer:

RT = 20

Step-by-step explanation:

Given S is at the midpoint of RT , then

RS = ST , that is

7y - 4 = 2y + 6 ( subtract 2y from both sides )

5y - 4 = 6 ( add 4 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Then

RT = RS + ST = 7y - 4 + 2y + 6 = 9y + 2 = 9(2) + 2 = 18 + 2 = 20

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