The two triangles below are similar. Which pair are corresponding sides? Triangle L M N. Side L M is 7, M N is 5, L N is 4. Triangle P Q R. Side P Q is 8.8, Q R is 11, R P is 15.4. LN and MN MN and QR LM and QR LM and PQ

two data sets with the same median will not have the same varaibility

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