The dot plots below show the scores for a group of students who took two rounds of a quiz: Which of the following inferences can be made using the dot plot?

A: The range of each round is the same.
B: There is no overlap between the data.
C: Round 1 scores were higher than round 2 scores.
D: Round 2 scores were lower than round 1 scores.

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

96 39 cause 135 -96=39 im smart (i used a calculater)