You are given a convex polygon, ie all its internal angles are less than 180 degrees. Prove that you can always draw three straight lines through a point inside this polygon, such that they divide it into 6 equal (by area) regions? Bonus questions:
Can you prove that this can be achieved for no...
A puzzle in the spirit of the Density™ puzzle. Enjoy!
Final answer: (3, 6)
If tomorrow is two days before Tuesday, how many days before it's Tuesday two days from today?
My friend Beto and I constantly buy things for one another. One day, he gave me a strange-looking phone and said it was my birthday gift (My birthday wouldn't be until 3 more months). He said he bought it from some weird store and it was made from some company called Jasoom; I, of course, never b...
Wrapped in starlight, ever verdant.
What am I?
Request of me twenty, receive of me twenty.
Request of me sixty, your behest will be fulfilled.
Request of me eighty, you'll be given the same;
but ask for one hundred, and you will get only sixty.
What am I?
*) SQUARE. 4 SQUARES.
**) CUBE. 2 SQUARES.
Add, and almost a square I am.
What am I?
Don't say one synonym's a type of fish:
It's the same word, not the same meaning.
Don't say one synonym's a type of bird:
That's a different form of the word.
Don't say one synonym's a type of drink:
In fact the sound is the only real link.
"Replace an approximation by a c...
Someone’s mother has four sons: North, South, East and ... ?
$$ \phantom{q312312312123213 sadlasjhdsajhdsak 213123123 asdojsdljdasj 12312312 }$$
" I am famous" declared Tom, flashing a newspaper.
He showed me some scribbled numbers."Because of this, I made the
papers" He said.
8 = 4
8 = 3
6 = 2
6 = 3
3 = -1
5 = 1
5 = 0
1 = -2
7 = 3
" I don't understand it but congratulations, Mr. Fa...
What? A negative sign? What?
-264.66409225
-462.71021449
-20.60615236
-21.38877504
-92.13888121
-213.77948944
-58.14977536
-276.29420841
-242.07314569
-276.16789489
-373.92343641
Answer is a four word phrase.
As an alphabet aficionado, I can make you laugh long into the night.
As a make of Japanese vehicle, I can keep your surroundings clean and beautiful.
As an execution apparatus, I make you laugh despite not maturing.
As a mixed-up romance, I lead tens of millions.
As a gardening tool, I...
Here're some of my properties:
1. People usually put a hole in front of me, I do not know why.
2. Some refers me as Delend, but that's not my name.
3. Inverted, I might have shown myself.
4. I might be small, but once shifted, I became invisible.
What am I?
