Which of the following best describes the relationship that the Chinese and Aztec empires had with their respective peripheral states during the fifteenth century C. E.?

One of the similarities between the Chinese and the Aztec empire was the rulers achieved and kept to their power.  

Hence the option C is correct. The empires established relationships with their peripheral states.

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c. Both empires established tributary relationships with their peripheral states.

Explanation:

China and the Aztec empire operated a Tribute system in the fifteenth century whereby states or people that they had conquered or were inferior to them (peripheral states) paid them tribute.

These tributes were a source of income for both states and solidified the dominance both states had over the peripheral states.

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