Akarate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. cena paid $170 for her son to take courses. how many courses did he take? 6 courses 7 courses 8 courses 10 courses

what?

step-by-step explanation:

what do you need with. i love quadrants. can you tell me ?

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