Rory is playing a video game were each game last 1 3/4 hours he wants to play for nine hours today in this evening how many games can you play

He would be able to play for 5 games

Step-by-step explanation:

9 divided by 1.75 to get 5.14

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

answer: what is the question you're trying to ask?

step-by-step explanation: