2. Which congruence postulate should be used to prove AABE = AOCDA if EB = AD and mZADC = 90°? A B C D, HL Theorem AAS Congruence Postulate SAS Congruence Postulate AAA Congruence Postulate

Q: Which is an example of two differnt fuctions that have the same domain and the same range, but have…

A: 1)Let f(x)=x+1, g(x)= square root of xSketch the graph of the function as shown below

Q: x^2 ≡ 1 (mod 105)

A: Given: x2≡1(mod 105) To Solve: The given congruence  x2≡1(mod 105)

Q: Without using any theorems from the book, prove the following statement: The sum of any two odd…

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Q: Show that if x+yi=(a+bi)- is true, then x-yi=(a-bi)-is all real numbers). true (x, y, a, and b are

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Q: 37x = 101 (mod 151)

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Q: a) Find just one value of x such that x^2-5=0 if it exists in the set of real numbers (R) b) Find…

A: The given equations,(a) (b) .The aim is to find the real number solution to this equation.

Q: Prove: If a and b are relatively prime integers, then a^(theta(b)) + b^(theta(a)) congruent 1(mod…

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Q: Suppose a is an integer. Prove that if a^3 is a multiple of 3, then a is a multiple of 3.

A: Let a3 is a multiple of 3 but a is not a multiple of 3.a3 is a multiple of 3Therfore, 3 divides…

Q: Prove the following using a direct proof.  If a,b, and c are integers such that b is a multiple of…

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Q: If p>=q>=5 and p and are both primes, prove that 24| p^2-q^2.

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Q: Given an odd integer a, establish that a^(2) + (a+2)^(2) + (a+4)^(2) +1 is divisiible by 12 using…

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Q: Use Euler's Theorem to find a number x, 0 <x<7, such that x^21 = 3 (mod 8)

A: By Euler's theorem, for any number x such that 0 &lt; x ≤ 7,        xφ(8) ≡ 1 (mod 8)       =&gt; x4…

Q: Show that set & contains no greatest rational number 2 = { reQirs 0³ U{ re Qir²<2}

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