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Seems like one day you'll be able to work upon them blindfolded!
3. Which is greater?
I'll be posting some puzzles (sort of) that i'll work upon all by myself! Catch me if you can!!
1. What's the missing term?
1.20 , 5.60 , ? , 15.16 , 21.22
(hint: α β )
ADC∼CDB
AD/AC = CD/CB
x/6 = √(6² - x²)/8
Solve for 'x'
BC = √(4² + 6²) = 10
Let AB = x
10² + x² = (6 + √(x² - 4²))²
Solve for 'x'
∠ACB=∠ECD
∠CAB=∠CED
Hence, the third angles must also be equal...
∠ABC=∠EDC
∴ AAA or (AA)
∠ ACB = ∠ DCE (vertically oppsite ∠s)
AC/DC = BC/EC = 1/2 (given)
∴ ACB∼DCE (SAS similarity)
∴ ∠ABC = ∠DCE
AB||DE (alternate angles are equal)
mathsyperson: you saw it through again!
phrontister: UNIQUE! It took me a while understanding why you divided the power of 10 by a 9 but got it now! Comps must be your Favorite Toys!!
Yes! The forward slashes "" can either be used to separate "terms", to introduce "single space" or to use "special symbols".
Like...
Here's a Brief Tutorial on LaTeX at http://www.mathisfunforum.com/viewtopic.php?id=4397
Here's a List of some Symbols: LaTeX-Symbols
mathsyperson: WOW!! Catchy!
2.
1. A 50-digit natural number is completely divisible by 13. If all the digits, except the 26th digit, are 1 then find the 26th digit.
Q: What weapon is made of Potassium, Nickel and Iron?
A:
This one's startling and was known to Diophantus in the third century. It was explored further by Fermat, and then by Euler and Gauss and subsequently by others.
Prime Series → 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ...
Now delete all numbers which are 1 less than a multiple of 4 (i.e. 3, 7, 11 etc.)
New Series → 2, 5, 13, 17, 29, 37, 41, 53, 57, 61, 73 ...
Every Prime Number of this New Series is the Sum of Two Squares in a Unique Way!
e.g. 2=1²+1²
5=1²+2²
13=2²+3²
17=1²+4²
29=2²+5² and so on...
This extraordinary fact is related to Pythagorass theorem about the sides of a right-angled triangle!
Let the point A be (0, 0), i.e. origin, and lets say that they meet at a point C (b, k)
AC=2BC
√(b²+k²)=2k
b²+k²=4k²
k=b/√3
they meet at C (b, b/√3) and AC is 30 degrees inclined from the X-axis.
I don't understand the first one. That is not based on the fact that it is about my country.
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I found this → Guess The Number.
Did i say "I'm Sorry"?
Oh wel.. I did.
I'm Sorry!