The two key things to note here are “escape path” and “from.” The sense of the sentence is that Douglas has little hope of escaping from the situation. It could be said that he cannot “remove himself” from it. The word “extricate” means “to remove oneself from a difficult situation or (more generally) difficulties.” It is derived from the Latin word for “trick,” so it could be said to mean “to get out of the tricks (of some situation).” It is related to “intricate” and “intriguing.”

Note that the flow is not merely dripping but that it is moving ever so slowly toward no longer occurring at all (as is implied by “finally stopping altogether”). When something “peters out” it gradually slows or reduces in intensity to the point of disappearing altogether.

When someone is contracted to do work, that person is required, or obligated, to fulfill that which is promised in the contract. The word “obligated” can also mean “bound” in the sense of being tied to something (metaphorically speaking). This meaning is derived from the Latin root for the word, which is found in “ligament,” which is a piece of connective tissue that binds together joints (and other parts of the body). The word “religion” also has the same root in it, though here it means something like “to be reconnected (to a higher power).”

Since Egbert’s eating portions are described, this sentence gives an adequate direct clue regarding how one should describe what he did with regard to his food. When someone “nibbles” at something, he or she merely takes small bites. None of the other words match as closely to the nature of eating merely several crumbs at a time.

We can infer that Corey wanted to bring energy and excitement to the party, but his dog ended up spilling the pies onto the floor. So, we need to pick out a verb that means something like "bring energy or excitement to." Neither "dull" nor "calm down" can be the correct answer, then, because each of those words is an antonym of "bring energy or excitement to." "Enliven," however, is a verb that means "make (something) more entertaining, interesting, or appealing," and because "enliven" best describes Corey's motivation for releasing his dog into the holiday party, "enliven" is the correct answer.

The choice that makes the most sense is alleviate: to relieve or make suffering less severe.

The choice that makes the most sense is appease: to pacify or soothe; to relieve.

The choice that makes the most sense is embellish: to make more attractive by the addition of decorative details or features

The sentence is written in the past tense, so in order for the verb to fit into the existing context, it needs to be past, as well as imply a degree of loud volume; therefore, blared is the best answer.

The answer that makes the most sense is "abhorred," to detest or hate.