Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3}
3
1

start fraction, 1, divided by, 3, end fraction of a sheet to each of the 454545 students at recess. She wants to give teachers 1\dfrac{1}{2}1
2
1

1, start fraction, 1, divided by, 2, end fraction sheets each.
Which inequality describes the number of teachers, ttt, Noor could give sheets of stickers to?

answer: okw

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