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To determine which set of ratios forms a proportion, we need to simplify each ratio to see if they are equivalent.
A) 5:10 can be simplified to 1:2
20:40 can be simplified to 1:2
Both ratios simplify to 1:2, so A is a proportion.
B) 9:10 cannot be simplified any further.
45:40 can be simplified to 9:8
These ratios are not equivalent, so B is not a proportion.
C) 1:8 cannot be simplified any further.
2:18 can be simplified to 1:9
These ratios are not equivalent, so C is not a proportion.
D) 1:16 cannot be simplified any further.
3:18 can be simplified to 1:6
These ratios are not equivalent, so D is not a proportion.
Therefore, the correct answer is A) 5:10, 20:40.