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Suppose the link of a segment GH is 8 cm which is the best estimate for segment CF

Suppose the link of a segment GH is 8 cm which is the best estimate for segment CF-example-1
User Csgroen
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2 Answers

3 votes

The answer is E) 16.

Explaination: GH is roughly halfway across the shape and considering CF goes the full length you can infer that since GH is 8 cm, 8+8=16 which makes CF = 16 cm. Hope this helps:)

User Raffobaffo
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5 votes

Answer:

16.

Explanation:

From the figure, we can deduct that CF is equal to BE, because their rectangles forms have the same height.

Now, triangle DHG is proportional to triangle DEB, because there are two parallels intersected by two transversal, and according to Thales' theorem, they are proportional, so we can say that


(BE)/(GH) =(DE)/(DH)

However, there's an easier way. We could estimate that CF is 16, because according to the graph, GH is approximately half of the height BE which is equal to CF.

So, if GH if half CF, then CF should be around 16.

User Rozart
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