Darius takes his family on an afternoon boat ride. Going through York Canal, he drives 5 miles in 15 minutes.
Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed.
Which statement about the distances is true?

false

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

explanation:

step-by-step explanation: