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12 votes
12 votes
5. Each pair of polygons below are similar. Show your work! Solve for x:

5. Each pair of polygons below are similar. Show your work! Solve for x:-example-1
User Dredozubov
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1 Answer

17 votes
17 votes
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).

If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.

18 is the length of the top of the trapezoid.

You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.

14=2x
Divide by 2 and x=7

(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
User Konstantin Komelin
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