Using the two-column form, prove the Congruent Supplements Theorem. Explain the reasons used for each statement. The Congruent Supplements Theorem Given:

Q: (x+5)(x-10) :- (x-1)(x+1) (x-10)(x-6) (x+1)

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Q: -5 7 Eхample 61. Find the adjoint of A = -2 and show that A (adj. A)=|A| I.

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Q: Prove the following set identities: (a) (AUB) nC = (ANC) U (BNC); (b) (AUB) - C= (A-C) U (B-C); (c)…

A: The prove of the identities (a), (b) and (c) are given below.

Q: Prove that: (5a +6b | a, b e Z} = Z

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Q: 1 0 0 0 0 1 0 0 0 10-12 1 -1 2 0 -10 3

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Q: 2. Let A:= {1,2,3, 4} =: B and T:= {(a, b) € Ax B | e Z}. (a) Find A x B. (b) Find T (c) Check what…

A: Given: A=1, 2, 3, 4=B and T=a, b∈A×B : a+b+12∈ℤ To find: a) Find A×B b) Find T c) Check what…

Q: Question: Prove or disprove the conjectures: (a) {x|3y€ R:x= y² – 2y} = R. (b) If A, B, C are sets,…

A: (a) Given that x|∃y∈R:x=y2-2y=R Consider some value of y belongs to R Therefore,…

Q: et z = g(u, v) and u(r, s, t), v(r, s, t). How many terms are there in the expression for 8z/Or?

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Q: Example 1a Given: LM PN, XMXN Prove: LX PX Statements L N P M Reasons

A: Given that LM¯≅PN¯,XM¯≅XN¯

Q: Which of these functions from R to R are bijections? (Check all that apply) Check All That Apply A…

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Q: Question 2) Prove that the following expression whether tautology or not? Show all the steps of your…

A: Tautology: A tautology in is a compound statement (premise and conclusion) that always produces…

Q: Let X be the set of reals, and let T = {SCX:0€ X-S} U {X}. Show that T is a topology for X and find…

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Q: Let A = {9k +7 ke Z} and B = {3j+1 je Z}. Show that AC B. :

A: Let, x ∈ A    => x = 9k + 7 for some k ∈ Z.

Q: 123 Let A=0 5 0, the the adjoint of A, adj (A) = 243

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Q: Let u = Theorem. u⚫v= 7 -6 and v= 1 -3 -4 3 Compute and compare u•v, ||u||², ||v||²2, and ||u +…

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Q: What additional information is sufficient to show congruence? H AA I M KL HI ZH~ K ZL~ ZI No…

A: For congruence, we need third side to be congruent or included angle.

Q: CAM 67 +98

A: We have to solve the integral .

Q: Find oveslapping Over of two equations also give ts alea geometoical representation. 2. (v-fr)-1…

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Q: Find f, f, and f. The symbol A is the Greek letter lambda. f(x, y, A) = 8xy – A(5x+ 7y – 12) 5-口 %3D

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Q: Question No. 05 . Show that , x 6, is Solenoidal and Oz each iotational- are

A: 5. Let us first denote φ1, φ2 in vector from as following.…

Q: 2 3 and B Let A For which value of k is AB BA? A k 5. B. k=0. C. k 1. D. -2 E. None of the above the…

A: The value of k for which AB = BA is 0  i.e, k=0

Q: √4y, y = 4 and = 0) is revolved about the line = 2 Find the volume of the solid generated when the…

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Q: Transiate the graphical representation t0 an incquality using the vaviable x. 10 12 14 4- + 30 40 45…

A: Inequality for the first graphical representation is  x1 =14

Q: The function Y₂ is defined as Y₁+k for some real number k. Based upon the given information about Y₁…

A: Given, y2 is defined as y1 + k

Q: Which of the following are always true, and which are not alwaystrue? Give reasons for your answers.…

A: Given- u·v=v·u To find- The above statement is true or false. Concept Used- The above sttement is…

Q: Determine the value(s) of a such that = -6 -3 -1 -1 [ 2 1] -3 6 Note: If there is more than one…

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