Jessica rides the bus 8 4/5 miles each day. Which statements correctly describe how far she rides the bus? Mark all that apply. * A. Jessica rides the bus 35 1/5 miles in 4 days.
B. Jessica rides the bus 61 4/5 miles in 7 days.
C. Jessica rides the bus 88 miles in 10 days.
D. Jessica rides the bus 218 2/5 miles in 25 days.

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4