The correct statements that describe events that contributed to the decline of the Aztec Empire are:
- The Spanish took Montezuma prisoner.
- The Aztecs welcomed the Spanish with gifts.
- Smallpox weakened the Aztecs’ ability to resist.
The other options do not accurately reflect events that contributed to the decline of the Aztec Empire. Cortés did not give up his desire for more gold, and the location of the Aztec capital (Tenochtitlan) did not inherently make trade difficult; the issues were more related to the military confrontations and the introduction of diseases.