43. Leon Quiz Copy1 You have a deck of t trading cards. You give 18 cards to a friend and have 9 left for yourself. How many cards were in the original deck? Write a simpler, equivalent equation to solve t-18 = 9 and find the number of cards in the deck. There were tradhg cards in the deck. Enter your answer in the answer box Review progress Question 4 PO Back Next →

i can answer this question sweetie!

step-by-step explanation:

both equations and proportions are better.

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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