Warren has track practice every afternoon on monday he will run a total of 12 laps around the track each lap measures 400 meters if one has land 2880 so far what percent of the total distance has he completed

34.29%

Step-by-step explanation:

400 times 12 equals 8400 (his total distance in meters needed)  and then we follow the steps below to convert to percent

2880:8400*100 =

(2880*100):8400 =

288000:8400 = 34.29

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