A. Describe the illustrations using an if-then statement then identify the similarity theorem applicable to the following illustrations. 1. 2. If: Then: Similarity Theorem: If: Then: Similarity Theorem:

Q: Points J,K and L are distinct points and JK=KL. Which statement must be true

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Q: 12. Statement 1: All X are Y Statement 2: All Z are X Statement 3: Therefore, A. all Z are Y B. some…

A: Statement 1:All X are YStatement 2:All Z are XStatement 3: therefore=?

Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

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Q: help.

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Q: 12. For an index set I and indexed families of sets (A || EI) and (B, |i E1). For each of the…

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Q: Let A, B, and C be sets. 1. Prove: If A C B then ANC C BnC. 2. Disprove: If AnC CBNC, then A C B. 3.…

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Q: 1. Find values of x and y that make the following equation true. 1 3y] -15 7 3 -13 -15 10] -1 7 -2

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Q: Given set A={1,2,3,4,5} and a relation R on set A, R = {(1,2), (1,3), (2,2), (2,4), (3,1), (3,5),…

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Q: 9. 11 Let a1 = -6 a2 -4 |, and a3 = 11 -3 -4 The set {a1, a2, a3} will span R° unless h =

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Q: Direction: Define subsets of Za, as follows: A = {a | a E Za and a 5} A = {a | a E Za and 3| a} 1.…

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Q: Illustrate the key ideas in the proof of Hall's Matching Theorem.

A: A bipartite graph is a graph G = (V, E) whose vertex set V may be partitioned into two disjoint set…

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Q: (4) 2 then find the angle between the If u = and v = u and v.

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Q: (1) Let A and B be sets prove the following. (b) ACB if and only if An B = A. %3D

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Q: 6. Determine x such that Ans. 13. 1 2 -x 1 + 3x 3 0 -3 -6 5 X = 36.

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Q: How many different size of infinity are there? How does it relate to one-to-one correspondence?

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Q: Family OF lines parring through (0, -4)

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Q: Consider the monthly salary of all 5 employees of a company: Salary={20,30,22,20,16} Choose any…

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Q: 1 1 2 3 4 L.O.20-Determining and evaluating expressions 3.) Evaluate the following expressions using…

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Q: 2.) Given: 25 2 AFJH is isosceles, with FJ = HJ Prove: JG is a median to FH Statements Reasons 56

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Q: denumerable. Apply the definition and prove that the set A = {₁, {} ... } is

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Q: 1. Show that if P(A) > 0, then P(AB|A) > P(AB|AUB)

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