The “Star Player” paradox haunts many pro athletes. For example, an NBA player may be highly rated, but their statistics don’t quite match up. For example, Lebron James in 2015 made 293 shots “outside the paint” (i. e., not under the basket). But his basket-scoring percentage this year when shooting at these distances was a dismal 32%. Roughly, how many of these baskets did he make?

either 915 or 93

Step-by-step explanation:

i know big gap

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