Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. ​Lou's car had 5.3 gallons in the 12-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.50 per gallon. How much did Lou spend on gas?

35-60 students are taking math.

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

answer: 0.1,0.85

step-by-step explanation: