Jaime wants to know how fast she can type, so she times herself as she types a paper. the paper has 410 words in it, and jaime types it in 10 minutes. what is her typing rate, in words per minute?

41 words per minute

Step-by-step explanation:

You just need to divide words by minutes and that will give you words per minute.

410 words / 10 minutes = 410 / 10 words per minute = 41 words per minute

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