1. In the figure on the right, which postulate proves that ΔTIK ≅ ΔTOK?

Q: Let D, ECC be starshaped w.r.t the same 2, E DnE. Show that DUE, DOE are starshaped.

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Q: Evaluate the Following expresoion expression O Ine' = %3D D ehe Ine %3D

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Q: s.if {() - % q S.t OSagi0, what is me au sf X ? 50 100 4) 667 c) so d) 10

A: We have given that  Pdf of X is f(x)=(x/50)  , 0≤x≤10

Q: Prove that A u (B n C) = (Au B) n (A u C).

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Q: Let Hand K be subgraups of a and Ikl-55 fing IHO K! grop C. If IHI =2

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Q: Determme the Eigen vahes and len Vectors of-Ase=D ahere A 4 2. -3

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Q: Hor what salue of e dois th. a tollowng matrex haue an Tnverse Q. 2. 2.

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Q: AB is a 1 bisector of CD.

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Q: Suppose that > ak = a and let c E R. Prove, in all the that (c-an) = gory detail necessary, = c•Q.…

A: We will give two proofs one based on partial sums and the other will be a direct proof.

Q: Oo Detamine the locakion and ty pe af the Sinquhankes of the hellaing hunden O8 Detamine the ties…

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Q: Os Detamina the lacakion and to Pe af the sigularikes of the follaning fuckien C) cotz

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Q: Let w = z. In(xy?z³), then which of the following is :? O a. O b. c. O d. 0 Oe.

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Q: ek 5. Let a = pt¹ …pºk, and b = pf¹ ...pf, where p; are prime numbers, and ei, fi ≥ 0. Show that…

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Q: 9. Complete the following proof. Given: EG = TA and ZEGA = LIAG E Prove: ZGEA = LAIG Proof: G…

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Q: 7- Evaluate:

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Q: Let S := [a, b] with a < b. Then Acc(S) = [a,b]. Ja, bl. □R□ none of the previous.

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Q: .    Verify that: a)    (A - B) – C = A - (B ∪ C) b)    (A Δ B) ∩ B = B - A

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Q: x, = 1, y, = -2; x, 2, y, = -7; x, 3, y, = -8; x, = 4, y, 0 O A) - 5.72 Which of the following is…

A: Answer is near about Option (B).

Q: 1. 1 let Y=34 131 a.) contrust diagram for the b.) Repeat

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Q: Let A = {-i, .,-2, –1,0,1, 2, . i}. Compute the following a) U는1Ai A? = {?} A? = {?}

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Q: The diagram below shows AABC, with AEE ADC, and ZACB LAED. Prove that AABC is similar to AADE. 11 YD

A: We have to prove  traingle ABC is similar to traingle ADE.

Q: Given that A=(2,2a,10) and B=(3x, 1,-2), if A and B are normal to each other, a is: O a. 0.25 O b.…

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Q: r.S. Let X Be(p) of size n. Obtain UMVUE for p.

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Q: EXERCISE 5.7.1. Let S := {2": ne Z). Then Acc(S) = □0. {2": ne Z, n<0}. {0}. {0, +00}.

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Q: If the sets A, are independent and P(U, A,)=1 then P[A i.o.] = 1. %3D

A: Let {An}n=1∞ be an infinite event satisfying P(An)&lt;1 for all n, then  P∪n=1∞An = 1 if and only if…

Q: 8.4.10. Let A and B be subsets of R". a) Show that a(AN B)n(A B) b) Show that if xe a(AnB) and x ¢…

A: a) Consider the given statement, ∂A∩B∩Ac∪∂Bc⊆∂A Let us consider that x∈∂A∩B∩Ac∪∂Bc, then we have…

Q: 103 Let = 2+j"8 and z, = 4+ j06. Show that a. + =2 = =, +z2 b. 1- 2 = =-2 с. d.

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Q: 1. Given: AB DE, ZB=ZE, and ZA=ZD в F Prove: AABC=ADEF Statements 1. AB DE Reasons 1. Given 2.…

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Q: Let w = z. In(xy² z®), then which of the following is- O a. O b. O d. O e. 0

A: While finding the partial derivative of a multivariable function, if we have to find the partial…

Q: Find a) Ra Py for ū =|2 3

A: The symbols Rπ2Py indicates that the matrix is rotated by π2 and the projection is on  y axis. The…

Q: onexomple Oneta not in RR

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Q: The usual purpose of an experiment is to O a) test a model that is based on a hypothesis. b)…

A: We have given the following statement about the purpose of the experiment.

Q: Ursula and her friends are playing hoop rolling. Ursula rolls a large hoop along the ground. The…

A: this is a question where in the relation between radians and revolution needs to be used to find the…

Q: 20 Using Figure 5.33, find the missing piece of information in parts (a)-(d). B BE = 12, AE = 9, DE…

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Q: .25 Find the average k AS-LL ÜS-UL fi O A) 80,2 1 55 61 3 O B) 90,5 O C) 80,8 2 62 68 6. O D) 79,5…

A: From the given data: Class Midpoint (x) f xf 58 3 174 65 6 390 72 5 360 79 9 711 86 7…

Q: 36 2x 10

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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”.