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If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find RS. Show work!

Sagot :

PixelArcaders112462

Answer:

97

Step-by-step explanation:

Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.

5x + 17 = 8x - 31

Now simply just solve for "x"

5x + 17 = 8x - 31

5x + 48 = 8x

48 = 3x

48/3 = 3x/3

16 = x

Once you get x, plug it into the equation "RS = 5x + 17"

5(16) + 17

80 + 17

97, which is our final answer.

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