The denouement is when the loose ends are tied up.
Answer:

Explanation:
you have to collect all terms then subtract the numbers an divide both sides by e 2e -1
Answer:
the astronomer has plentiful proofs charts diagrams etc to show his audience however the speaker is tired and sick of the astronomers lecture
Explanation:
People generally prefer doing something to doing nothing.
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You did the right thing mate, but be careful not to post it again, or you can have a risk of getting you're account flagged! :(