The jogging track is 5/9 of a mile long. If Ashley jogged around it 4 times, how far did she run? A.4/9 B.20/9 C.9/4 D. 4 5/9

I think it's B

track is 5/9 of a mile longshe jogged around it 4 times

Step-by-step explanation:

so Ashley ran ( 5/9 * 4) = 20/9 miles <==

i belive those are the ones that are under 90 degreese.

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