The dot plots show the number of customers per hour at four salons. twenty days were randomly selected from the calendar year to obtain the data sets. arrange the four data sets in order from the one with the most spread out data values to the one with the least spread out data values.

salon 1
salon 2
salon 3

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

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

sorry but i cant draw that