Questions about example sentences with, and the definition and usage of "Mutually"

A: Because I only had 10 dollars on me, my choices between having a burger meal and a pizza meal for lunch were mutually exclusive.

This light cannot be both on and off at the same time because they are mutually exclusive events.

You can, of course, have your cake and eat it too. Those two thing are not mutually exclusive.

A: Sam and Benny had an unspoken yet mutual agreement to have each others back.
The friendship was mutual.

A: The “tu” comes to sound more like a “ch”.

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