At a basketball​ game, a team made 54successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 88 points in all. Write and solve a system of equations to find the number of each type of shot. There were __ ​2-point shots and __ ​1-point shots.

plz yuo

step-by-step explanation:

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