2. State and prove the converse of the extension of the isosceles triangle theorem. (This converse is a generalization of the converse of the isosceles triangle theorem) [In AABC assume that m(ZABC) > m(ZBAC)]2 C

Q: Use de Moivre's Theorem to find the following. Write your answer in standard form. (√2 cis 77)

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Q: Let f and g be bijections such that fog is defined. Prove that fog is bijective.

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Q: a(a?+2) 1) Prove that is an integer for a21. 3 2) Find the gcd(56,72)

A: 2. To find, gcd(56, 72) : 72 = 56×1 + 16 56 = 16×3 + 8 16 = 8×2 + 0 So, gcd(56, 72) = 8

Q: What property must the set (AU B) have if the statement below is true? [(aff A) U (aff B)] C (AU B)…

A: The given question has been solved below.

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A: The solution is given as

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Q: Consider the conjecture "A figure that has four sides is a square." Which one of the following is a…

A: Rhombus has 4 sides . But it is not a square.

Q: Manuben

A: The objective of this question is to prove that the set Z[w] = {a+bw | a, b are integers} is a…

Q: (c) Let z1 = 2+ 2i and let 22 =1+i. Prove that the triangle inequality |21 + z2| < |21| + |22|…

A: Left hand side is equal to, z1+z2=2+2i+1+i=3+3i=32+32=32 Right hand side is equal to,…

Q: 10. In quadrilateral OABCD, AD = BC and ZA = LB. (a) Prove AC = BD. (b) Use this result to prove…

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Q: 5 dx 8x (x+1)? 1

A: First evaluate indefinate integral

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A: We have to solve given problem:

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Q: Fild out the blanks ( blue) ,show the figureds needed  SSS Triangle Congruence Euclid's proofs of…

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Q: - Give the quadratic function fle)= x?-5x Compute flath) -f(a) | flath)-f(a)

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Q: Prove that ABCD is a square

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Q: Claim that = (0.0.0) 2 a) show √ E OF √₂, √₂. b) Show OF J₁ () show J₁ s={√₁₁ √√₂, √√₂} S= √√₂₁ are…

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