Question: "mine" used in the same way in the following two sentences?

This diamond comes from a mine in South Africa.

Most coal and ore comes from open-pit mines nowadays.
Answer: the same meaning
Question: "empathize" used in the same way in the following two sentences?

You really have to empathize with them.

You've really got to empathize with what they want.
Answer: the same meaning
Question: "carry" used in the same way in the following two sentences?

This boat can only carry a small sail.

Amanda carried the package to New York.
Answer: different meanings
Question: "degree" used in the same way in the following two sentences?

He earned his degree at Princeton summa cum laude.

Water boils at 100 degrees Celsius.
Answer:
different meanings