Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contribution show all steps in long division. total : 94. 93 friend#1 : 17.42 friend#2: 18.61 friend#3:26.45 friend#4: 33.45

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

care to share were the trapezoid shown is ?