Why is Ke7 best here?

I see why Ne7 is a bad move, but can someone explain why Ke7 is *best*?

Noob here playing a friend who is advanced, what are my options? I’m white

Can someome explain how this is a good move?

Position in a game I just played. Can you find the mate in 2 for white?

Why was this Queen move a brilliant?

Looks like it’s just trading a queen and a bishop for a rook? Can’t see why this would be considered a brilliant move

Doing Puzzles and I don't understand a solution. Why couldn't black king just take on b7?

While black is somewhat winning with other moves, can you find the only move that truly solidifies a completely winning endgame for black?

Trouble understanding chess books

I understand chess notations but what is this? Why are the moves separated in 4 columns and why does it only have white moves? (Book : Pocket encyclopaedia of chess openings - Jon Speelman)

My first brilliant and it was intentional!

First intentional brilliant, white took the bait

I just got an estimated 1200 rating in a game

I’m 600 How accurate are these? Of course it’s just one game, but I was very surprised to see this.