Example 1
Charlie is very sorry about hitting your parked car with his bike, so we don't think we owe you any money for the damages.
In this sentence, very is used to add emphasis to how sorry Charlie is. We still don't think that's enough to repair the headlight he took out with his Schwinn, though.
Example 2
Abram can be very irritating sometimes; he never talks about anything but his rock collection.
Don't be so hard on Abram. Geology rocks! (Sorry. Couldn't resist.) In this example, very adds emphasis to irritating.
Example 3
Sheila tries to vary what she eats for breakfast occasionally, but those Strawberry Pop-Tarts have been calling her name since age four.
See what we did there? We snuck in the other vary, which in this sentence means that Sheila tries to change up her breakfast menu from time to time.