Tony has a barrel to catch rainwater to use for household chores. the graph shows the volume of water in the barrel during a rainstorm. a. at one point tony took water out of the barrel to wash the dishes. when he do that? b. approximately how many liters of water did he take out? (1 point) 6: 00 p. m.; 0.8 liter 3: 30 p. m.; 0.9 liter 5: 00 p. m.; 0.8 liter 5: 30 p. m.; 0.2 liter

the graph on the bottom right

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