[/quote]
,
,
such that 
is a perfect square? (Here 
denotes the integer part of the real number 
?
be an acute triangle with 
,
be the intouch triangle with 
,
,
,
be the intersecttion of the perpendicular from 
to 
with 
,
.
and 
are concylic
the set 
can be partitioned into 
triples in such a way that the numbers from each triple are the lengths of the sides of some obtuse triangle.
,
,
.
and that 
.
and 
be the midpoints of sides 
,
and 
be the feet of the altitudes from 
and 
in 
,
be the intersection of line 
with the tangent line to 
.
be the intersection point, other than 
.
be the intersection of lines 
and 
.
with centre 
passes through 
respectively. Let 
,
is equidistant from 
is a cyclic quadrilateral inscribed in a circle of radius one unit. If 
,
,
,
,
satisfy 
and 
.
of 
such that 
.
and 
)
Prove that if lines 
are similar.
such that 
, where 
are non-negative reals such that 
.
.
Y by
So I don't really care if I dox myself but I went to one of the single worst chapters in all of Florida, the Indian river chapter(even the runner of mathcounts states was sayin we would lose to osprey in states). I don't exactly know what my score is, but all I know is that I got 1st place sprint and chapter but then sold CD. If I had to guess, my score was around the 30-37 range. I also mocked at around a 70 on amc 10. My questions are:
1.
What are my chances of me getting nats qual
2.
Should I study the day before the competition
1.
What are my chances of me getting nats qual
2.
Should I study the day before the competition
