write a system equations to describe the situation below solve using eliminations and fill in the blank. there are to trails n3ar debbies house that she runs reguarly a short loop and long loop last week she ran 5 shorts and 6 long loops for toaltal 61 kilometers this week she ran 1 short loop and 6 long loops covering a total of 41 kilometers what is the lenght of each loop ?​

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:

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