Sarah Liskow was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 852 points. The number of two-point field goals that Sarah made was 60 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 21 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Sarah Liskow made during the 2006 regular season

final answer is : )

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

no because mercury has a density of 13.6 grams per centimeter squared while gold has 19.32 grams centimeter squared

step-by-step explanation: