Answer:
A) Nighttime was approaching.
Explanation:
Nighttime was insinuated, but not bluntly or plainly shown. Implicit means "Implied though not plainly expressed." SO if we look at the passage and the multiple-choice questions we see that B, C, and D, were all plainly expressed. They were given a signal, as well as were "explicit" because they didn't hide any information. The only information we have that "nighttime was approaching" would be that the "sky was getting dark."
Statement: Polygons that are squares are rectangles.
1. Converse
2. Inverse
3. Contra-positive
A. If a polygon is not a square, then it is not a rectangle.
B. If a polygon is a rectangle, then it is a square.
C. If a polygon is not a rectangle, then it is not a square.
The first purpose that Richard's soliloquy appears to serve is to reveal the motivations and personality of the character - we can see that he hates himself because he was basically a hunchback, so he was pretty self-conscious about it. He also reveals in the first scene what he intends to do throughout the play.
As for the second purpose, I'd choose the answer - it informs the audience about the background of the plot, as it gives us reasons why Richard decided to do what he did.
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The subjunctive mood is the best.
The subjunctive is rarely used in colloquial English. Totally irrelevant information, but... it is a relic from Latin, where there are many uses for a subjunctive. There is even a special conditional using the subjunctive mood that expresses the exact circumstances you described, which is usually called future less vivid.