Answer: A) his strong belief in a woman’s domestic role.
Explanation: In the given excerpt from "Trifles" we can see the description of the County Attorney's reaction when he sees dirty towels in the kitchen, he has a violent response, by kicking his foot against the pans under the sink, and then he makes a comment about how the woman isn't a good housekeeper. This reaction demonstrates his strong belief in a woman’s domestic role.
Your answer is Running through the hills. It has no subject.
Who is running through the hills?
answer is D.
It's describing "cookies" which is a noun which makes it an adjective phrase, because adjectives describe nouns :)
It helps develop ideas and mood at the appropriate speed.