In a Math 3 class, a group can complete a worksheet together in 20 minutes. Otis can complete the worksheet alone in 30 minutes. How long would it take Eddie to complete the worksheet by himself? A)20 minutes
B)30 minutes
C)50 minutes
D)60 minutes

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

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105