[/quote]
,
be four distinct points in the plane.
and 
are distinct and parallel, then
is equal to the oriented angle DCB.
,
plus the oriented angle 
e
.
equals 0°, then
a
steps and has to reach 
is valid but 
is not valid.
,
lie on a line in this order and satisfy 
.
be the midpoints of 
and 
,
is acute, and let 
be its orthocentre. Points 
and 
lie on lines 
and 
,
and 
and 
and 
such for any 
:
.
satisfy,
Where 
}
be an integer. We are given a balance and 
weights of weight 
.
to satisfy that the equation 
has at least 1 roots 
of the equation![\[n^3=p^2-p-1\]](http://latex.artofproblemsolving.com/f/f/8/ff88093bb0aa93afcfdff3ae25149ec5fbacb61f.png)
is a prime number and 
?
be an integer. In a configuration of an 
board, each of the 
cells contains an arrow, either pointing up, down, left, or right. Given a starting configuration, Turbo the snail starts in one of the cells of the board and travels from cell to cell. In each move, Turbo moves one square unit in the direction indicated by the arrow in her cell (possibly leaving the board). After each move, the arrows in all of the cells rotate 
counterclockwise. We call a cell good if, starting from that cell, Turbo visits each cell of the board exactly once, without leaving the board, and returns to her initial cell at the end. Determine, in terms of 
Y by Adventure10
Consider two lines 
that are cut at point 
and 
is the bisector of the angle they form, as shown in the following figure. Points 
and 
are drawn in in such a way that 
and 
and the angle 
measures 
. Calculate the shortest possible path length from to by touching lines 
and 
.
that are cut at point 
and 
is the bisector of the angle they form, as shown in the following figure. Points 
and 
are drawn in in such a way that 
and 
and the angle 
measures 
. Calculate the shortest possible path length from to by touching lines 
and 
.This post has been edited 2 times. Last edited by parmenides51, Oct 21, 2021, 12:39 PM
