Converse of this theorem is: if the sum of the squares of two sides of a triangle equal the square of the third side then the triangle is a right triangle. What is the name of the theorem?
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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 9 : In a shift-code, the letters of the alphabet are replaced by the numbers 1 to 26 starting at some letters. An example is : A = 25, B = 26, C = 1, D = 2, E = 3, F = 4, G = 5, H = 6, I = 7, J = 8, K = 9, L = 10, M = 11, N = 12, O = 13, P = 14, Q = 15, R = 16, S = 17, T = 18, U = 19,V = 20, W = 21, X = 22, Y = 23, Z = 24. There are two shift-codes in which the sum of the numbers representing the letters of the word HOLE is 48. What is the sum of the numbers representing the letters of the word BLACK in each of these codes?
VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 8 : In a shift-code, the letters of the alphabet are replaced by the numbers 1 to 26 starting at some letters. An example is : A = 25, B = 26, C = 1, D = 2, E = 3, F = 4, G = 5, H = 6, I = 7, J = 8, K = 9, L = 10, M = 11, N = 12, O = 13, P = 14, Q = 15, R = 16, S = 17, T = 18, U = 19,V = 20, W = 21, X = 22, Y = 23, Z = 24. In another shift-code, the sum of the numbers representing A, B and C is 42. What is the sum of the numbers which represent the letters of the word MARS using this code?
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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 7 : In a shift-code, the letters of the alphabet are replaced by the numbers 1 to 26 starting at some letters. An example is : A = 25, B = 26, C = 1, D = 2, E = 3, F = 4, G = 5, H = 6, I = 7, J = 8, K = 9, L = 10, M = 11, N = 12, O = 13, P = 14, Q = 15, R = 16, S = 17, T = 18, U = 19,V = 20, W = 21, X = 22, Y = 23, Z = 24. In a different shift-code, the sum of the numbers representing the letters P and Q is 21. What word is represented by 13 10 21 23 25?
If perfect numbers, except 6, can be expressed by the sum of the cubes of an unbroken sequence of consecutive odd integers, what are the consecutive odd integerswhich, when cubed, give the perfect number 28?
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If in a sequence of natural numbers, starting with 2, you begin eliminating every second number after 2, then every third number after 3, then every fourth numberafter 4, and so on, what type of numbers will be left?
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