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

The ocean was finally at rest.

A body will continue in a state of rest until acted upon.
Answer: the same meaning
Question: "buy" used in the same way in the following two sentences?

I'm not going to buy your stupid excuses anymore!

I can't buy this story.
Answer: the same meaning
Question: "language" used in the same way in the following two sentences?

The English language.

He recorded the spoken language of the streets.
Answer: the same meaning
Question: "fair" used in the same way in the following two sentences?

World fair.

Trade fair.
Answer:
the same meaning