After sales tax your brand new car is $17,300. what is the total price of the car with dmv fees of 1.25% of the purchase price of the car?

a. $261.25

b. $17,516.25

c. $216.25

d. $17,561.25

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

b. b < 1 might be the correct answer