There is a pie eating contest with  9participants. there are  46  pies that are all eaten. which of the following best describes how many pies each person ate if they are very evenly matched?

5 and 1/9th

Step-by-step explanation:

Ok so there are 9 people and 46 pies if they each ate the same amount of pies than that would each have eaten 5 and 1/9. Because 9 × 5 = 45 and then you have one pie left over which could be cut into 9 slices so each person has 5 pies and 1 of 9 slices

b

step-by-step explanation:

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