At a supply store, all the backpacks are 15 dollars. Let x be the price of the backpack. Which inequality represents prices that are more than 15 dollars? A: x<15 B: x>15 C: x<-15 or D: x>-15

rick would give her the best deal as he will charge $8.88 per hour

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