Theo made the following table to show the number of middle school students who attended the last football game. Grade
Number of Students
Attending game

If this data were displayed in a circle graph, what percent of the graph would represent the sixth graders?

a negative exponent is translated as follows:

so, we have

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