1. If A ⊂ B with a ∈ A, then which of the following is true? A. ∅ ⊂ A B. A ∪ B = A C. A ∩ B = B D. All of the above   2. If a > b, then the golden ratio can be obtained by? A. a/b = a+b/b B. a/b = a+b/a C. b/a = a+b/a D. b/a = a+b/b   3. The following are empty sets except? A. {x: x is a whole number, x + 4 < 4} B. {∅} C. { } D. {x: x ∈ N, x + 999,999 = 999,999}

Q: Given S={9,10,11,12,13,14,15,16,17}, A={5,6,7,8,9}, B={4,5,6,7,8}. Find A ∪ B , A ∩ B and A − B ,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given that two sides of a right triangle measure 2 feet and 3 feet, respectively, with a hypotenuse…

A: Given that two sides of a right triangle are 2 feet and 3 feet and hypotenuse is x.  Therefore , by…

Q: 4. Given p: The sky is dark. q: It rains. r: The road is wet.. What is r e (p v q)? a. The road is…

A:

Q: Use property of betweenness. Given A*B*C and A*C*D, prove A*B*D.

A: Given: and ,Aim: To prove .

Q: 1 On a circle, there are 5 points selected. How many triangles are determined by these points?

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here we can use combination

Q: . Given: ABCD is a O; CD = CE Prove: LA LE Given: ABCD is a O; LA = LE Prove: AB = CE A D

A: A quadrilateral ABCE and D is a point on AE and ABCD is a Parallelogram Also, CD=CE To Proof:…

Q: Identify all pairs of congruent corresponding parts. 4. ADEF = ALMN 5. ABCD = WXYZ A N. AEFD A DFE…

A:

Q: Which of the following are trees and which are forests? S S R U V A: Is a forest O A: Is a tree OB:…

A:

Q: If AABC = AFDE, which of the following statements is true? O LA = LE O LB = ZF O 2C = ZE O LA = ZD

A:

Q: 4. Which of the following statements is/are true. a. When o is divided by a constant, the result is…

A: In the given question we have to choose the correct option from  the given options, The problem is…

Q: 14.6=(10+ 4)-G B6. 10+6.4 =6 10,+24 10+(210+4) 10+2.10+4 fe+2).10+4 %3D e what poperty of the whole…

A: Solution - (a.) Commutative property (b.) Distributive property (c.) Associative property (d.)…

Q: True or False? 1. ∅ ∪ {∅} = {∅}. 2. If A ∪ B = A ∩ B then A = B. 3. A ⊆ (B ∩ C) if and only if A…

A: To identify given statements are true or false

Q: Find (if possible) a. AB and b. BA, if A = = [4 4567] and B = 3 A 1.0 5 6

A: Given  A = 4567  and  B = 3456.

Q: 9. Given: 2 UTS is a rt. 2. Show that ARST must be a rt. A. R 12 13 3.

A: Solution: Consider the given figure and given that ∠UTS = 90° Therefore △UTS is a right triangle…

Q: Let a, b, c, d E Z. Prove: If alb and c|d, then ac|bd.

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Q: If a, b, c are in HP. b, c, d are in G.P. And c, d, e are in A.P. show that e= ab? (2а- b)*

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Q: 2. Which of the following is a hypotenuse in the figure below? A. PR B. PS C. ST D. ZSOR 2

A:

Q: I confused on these 2 questions

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Q: 7. If 4 13 12 ,then the value of x is a. b. - 2 а. d. MIN MIN

A: To find the value of x, first we find values of both determinants and then we equate its values to…

Q: Let a, b, c E Z. Prove: If alb and b|c, then alc.

A:

Q: 6) Which of the following is similar by AA. ONLY Write the correct letter on the line below. R BA P.…

A: There are four options out of which one is similar by AA similarity,

Q: 8. A recent survey askec According to the surve for a raise; and of tho raise. If a woman is se a. P…

A: Let the two events be defined as : A and B such that, A = asking for rasieB = got a raise a.…

Q: 8. Given BE || CD. Find AC, CD, BC. Show all work. AC= CD= 15 BC= A 12 00 B.

A: Similar triangle

Q: If  A ∩ B = ∅, P(A) = 0.4, P(A ∪ B) = 0.8. Find P(B).

A: Given : A∩B = ∅PA = 0.4PA∪B = 0.8

Q: 3.) Determine whether the given statement is always true, sometimes true, never true, or if you need…

A: topic - statement

Q: 2 d X 3 ste H 201 3

A:

Q: 37. How many sets of five marbles include at least two red ones? ANSWER I 100

A: We have to find nom of combinations.

Q: are given be

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Q: Let a, b, c Є Z. Prove that a | b and b c implies a | c.

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.