A professional baseball player has a batting average of 0.260 this season. this means that he gets a hit 26% of the time. assumi
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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