an answer: the reply that comes back when someone speaks, asks, or accuses
This noun comes straight off the verb "to answer" (עָנָה), and it names the thing that comes back. It is not speech in general and not a message sent out; it is the return half of an exchange, the words that land after someone else has already spoken. That is why it turns up where two parties are facing each other: three friends arguing with Job, a person standing in front of someone else's temper, seers waiting on God for a word.
Because it is the return half, the word carries a quiet judgment about fit. A reply can be soft and drain the anger out of a quarrel, or it can arrive at the right moment and delight the person who gives it. When it is missing, the absence itself says something loud: Job's three friends found no answer, and Elihu's anger flares exactly there. In Micah the silence belongs to God, and it leaves the fortune tellers standing with their mouths covered.
Proverbs then pushes the word one step further. In Proverbs 16:1 the reply a person finally speaks is credited to the LORD, so even the words that feel most our own arrive as a gift. In Proverbs 16:4 the noun stretches past speech altogether: everything the LORD made has something it answers to, the end it was built to match. English Bibles usually render that "for its purpose", which is how a word for "answer" ends up meaning "aim". The same drift produced the small bound word behind "for the sake of" (מַעַן).
Nuances
In Proverbs 16:4, whether the pronoun attached to מַעֲנֶה refers to each created thing ("for its own purpose") or to YHWH ("for himself").
- majorityThe suffix is objective and refers to each thing the LORD made: he made everything for the end that answers to it, and the wicked for the day of trouble is the illustration that follows in the second line.; BDB, s.v. מַעֲנֶה; HALOT, s.v. מַעֲנֶה; Michael V. Fox, Proverbs 10-31, Anchor Yale Bible 18B (New Haven: Yale University Press, 2009)
- minorityThe suffix refers to YHWH: the LORD made everything for his own sake. This is the reading carried by the Latin Vulgate (propter semetipsum, "for his own sake") and by the King James Version.; Vulgate, Proverbs 16:4 (universa propter semetipsum operatus est Dominus)