Jared is a boxer. he can box in the heavyweight class if his mass is at least 100 \text{ kg}100 kg100, space, k, g by the end of the month. write an inequality that is true only for masses (m)(m)left parenthesis, m, right parenthesis at which jared can box in the heavyweight class.

the correct answer is 1: 2

step-by-step explanation:

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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