A nurse records the heights, in inches, of several students. Find the median and the range of the heights. 62, 55, 64, 58, 60, 55, 59, 57, 61, 57, 64 Answer median is ___ inches, range is __ inches

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

14

step-by-step explanation:

54, jfvhgnjhvnjhcbnncjigjm

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1