Answer:
D. without any clues.
Step-by-step explanation:
Adverb phrases describe a verb, adverb or adjective, and answer the question how, where, when or why something has happened. In this case, the prepositional phrase functioning as adverbial phrase without any clues explains how Addy guessed her friends' responses.
The rest of the choices are incorrect because they do not illustrate how, when, where or why the action guessed is performed.