People who claim “guys” is gender neutral would most often only count men when asked the question “How many guys did you sleep with in your life?”
Until I find a single person who immediately thinks of people of any gender at that question, I will not fall for the internalized misogyny of “‘guys’ is gender neutral” meme. (Same with “dudes” and all the other ones I’ve seen over the years. I’ve even seen someone say “bro” is gender neutral.)
Sorta. The function height(angle) needs to be continuous. From there it’s pretty clear why it works if you know the mean value theorem.