What are two examples of way that mexico reveals its blended culture

1)
The Virgen de Guadelupe, which is how the Mexicans worship Mary, mother of Jesus, is believed to have some influence of the indigenous culture in the way she is portrayed.

2) Although the language of Mexico is Spanish, many names are in indigenous languages, such as Xochimilco

In many places the indigenous languages are still spoken, although the original religions and cultures are mostly replaced by the Spanish one. (so for example, they would have western-style school, at which the indigenous languages are taught).