math
posted by help .
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is
their argument.
Given the obtuse angle x, we make a quadrilateral ABCD with DAB = x, and ABC =
90◦, andAD = BC. Say the perpendicular bisector toDC meets the perpendicular bisector to
AB at P. ThenPA = PB andPC = PD. So the trianglesPADandPBC have equal sides
and are congruent. Thus PAD = PBC. But PAB is isosceles, hence PAB = PBA.
Subtracting, gives x = PAD− PAB = PBC − PBA = 90◦. This is a preposterous
conclusion – just where is the mistake in the “proof” and why does the argument break down
there?
5. Consider a rectangular array of dots with an even number of rows and an even number of
columns. Color the dots, each one red or blue, in such a way so that in each row half the
dots are red and half are blue, and also in each column half are red and half are blue. Now,
whenever two points of the same color are adjacent (in a row or column), join them by an edge
of that color. Show that the number of red edges is the same as the number of blue edges.
6. The squares of an infinite chessboard are numbered as follows: in the first row and first column
we put 0, and then in every other square we put the smallest nonnegative integer that does not
appear anywhere below it in the same column or anywhere to the left of it in the same row.
What number will appear in the 1000th row and 700th column? Can you generalize?
7. Let’s agree to say that a positive integer is primelike if it is not divisible by 2, 3, or 5. How
many primelike positive integers are there less than 100? less than 1000? A positive integer
is very primelike if it is not divisible by any prime less than 15. How many very primelike
positive integers are there less than 90000? Without giving an exact answer, can you
say approximately how many very primelike positive integers are less than 1010? less than
10100? Explain your reasoning as carefully as you can.
8. Find a positive integer m such that
1
2m is a perfect square and
1
3m is a perfect cube. Can you
find a positive integer n for which
1
2n is a perfect square,
1
3n is a perfect cube and
1
5n is a
perfect fifth

math 
PROMYS
Now now..... no using outside sources!! If you continue to do this, we will track your IP address to find out who you are and disqualify you...

math 
Anonymous
Find a polynomial with integer coefficients for which √ √ is a root. That is find such that for some nonnegative integer , and integers
and(√ √) . 
math 
etovey
promys uk tracking is not so easy especially not with a subponea

math 
etovey
and it's illegal to buddy
Respond to this Question
Similar Questions

math
how do you name a obtuse angle when you are naming an angle just look for where the angle occurs and when writting it place it in the middle of the three points and draw a little triangle thingy over the top for eg. angle ABC would … 
math
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. 
Math
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with DAB = x, and ABC = 90◦, andAD = BC. Say the perpendicular … 
Geometry
Write an indirect proof that an obtuse triangle does not have a right angle. Given: Triangle RST is an obtuse triangle. Prove: Triangle RST does not have a right angle. Let angle S be an obtuse angle. Assume Triangle RST has a right … 
geometry
obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 of angle CBD is 4 more than angle BAD. Find the measure of angle ABC. 
Geometry
Given: obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 angle BDC and angle CBD is 4 more than angle BAD. What is the measure of angle ABC? 
number theory
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with DAB = x, and ABC = 90◦, andAD = BC. Say the perpendicular … 
maths
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and … 
maths
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and … 
maths
According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and …