Aone-way bus trip costs $1.25. a monthly bus pass costs $41. write and solve an inequality to find the least number of one-way rides you must take for the bus pass to be a better deal than paying by the ride.

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

think the answer would beb

agree

step-by-step explanation: