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These would make excellent AMC problems. Visually pleasing diagrams, nontrivial uses of similarity, many problems having a “nice” and a “brute-force” solution–all of these fit right in.
Clever.

#3 was particularly elegant, once I saw the trick. I got x=5 for it.

Amazing presentation, and just the right difficulty. Thanks for posting this!
Warning, the comments are spoilers in many cases. :(
It's the convention
These are awesome puzzles!

There are a few problems where I wish they'd be clearer about what the number labels mean. Areas? Edge lengths? They look like they're labeling areas, but I assume that figuring out what the numbers mean isn't intended to be part of the puzzle.