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Segment $AB$ is $2808$ units long. Point $X$ is the midpoint of segment $AB.$ Point $R$ is $\frac{3}{5}$ of the way from $X$ to $B.$ Point $S$ is $\frac{2}{17}$ of the way from $X$ to $R.$ How many units long is segment $RS \, ?$

 Mar 22, 2024
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A                     X       S        R          B

 

XB =  2808 / 2  =  1404

XR = (3/5)XB (3/5)(1404)  = 842.4

XS = (2/17)XR = (2/17)842.4 = 8424/  95

RS =  XR - XS  =  842.4 - 8424/95   = 71604/95 ≈ 753.73

 

cool cool cool

 Mar 23, 2024

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