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The polygons are similar. What is the value of x?

The polygons are similar. What is the value of x?-example-1

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Answer: x = 6

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Step-by-step explanation:

The jump from CD = 2 to C'D' = 4 is "times 2". That must mean we go from BC = 3 to B'C' = 2*(BC) = 2*3 = 6. Therefore, x = 6.

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We could use a proportion to get the value of x as an alternative method:

(B'C')/(BC) = (C'D')/(CD)

x/3 = 4/2

2x = 3*4 ... cross multiply

2x = 12

x = 12/2 .... dividing both sides by 2

x = 6

User FirasKoubaa
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