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Q: 4-IN THE ADJACENT FIGURE, IF AB = AC AND DB = EC, PROVE THAT ABEC = ACBD

A: Consider the side AB as x. Since AB is equal to AC, so, AC is also equal to x. Consider the side BD…

Q: D prove tHhat kin

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Q: QI Determine a condition on Ix - 11 that will assure that |a* – 1|< 2

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Q: If (0,1) ~ (-1,1) and (-1,1) ~ R. Deduce that (0,1) ~R

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Q: Determine if in the following diagram AADB is congruent to ACDB. D A They are congruent. O They are…

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Q: Let, a, = 3, a2 = 4 and for n2 3, a,= 2an-1+ an-2 + n + 1, express a, in terms of n. %3D %3D %3D

A: The nth term of A.P is given by an=a+n-1d we have,  a=3,d=4-3=1an=3+n-11=2+n we get,…

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Q: For all intergers a,if 6|5a,then6|a. Prove or disprove this statement."|"means divides

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Q: Let, a, = 3, a2= 4 and for n2 3, a,= 2an-1+ an-2, express a, in terms of n. %3D

A: we have the nth term of A.P is given by  an=a+n-1d here,  a=3, d=4-3=1an=3+n-11=2+n we get,…

Q: he binary operation * defined on Z by x * y = 1 - 2xy. Does * satisfy commutativity and…

A: The binary operation * defined on Z by x * y = 1 - 2xy.To find does * satisfy commutativity and…

Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

Q: Show that 100 1 arctan(100) – arctan(2) + Σ 1 < arctan(100) – arctan(2) + 1+ 22 1+ 1002 1+ k2 k=2 WI

A: Note that the function f(x)=11+x2 is a monotone decreasing function, i.e., f(x1)&gt;f(x2) whenever…

Q: Which of the following is equivalent to csc^2β(secβ−1)(secβ+1) for all values of β for which…

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Q: you to If ZA ZD and ZC ZF, which additional statement does NOT allow conclude that AABC = ADEF?

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Q: A cosets of of 212 are اخترأحد الخیارات + 2, +1,.1 O + 1,.2 O + 4, + 1, .3 + 4, + 2, + 1 , .4 O

A: Cosets Definition: Let G be a group and let H is a nonempty subset of G. A left coset of H in G is a…

Q: a. Used by competitors o. That does not currently exist in a organized form :. That already exists…

A: Secondary data is known as the data that are collected through public sources, i.e., census,…

Q: In a study of pain relievers, 20 people were given product A, and all but 6 experienced relief. In…

A: Descriptive statistics helps to organize, summarize, and helps to present the data in the…

Q: 19) Define an appropriate language and formalize "There is a student who is loved by every other…

A: Given Statement "There is a student who is loved by every other student" Third FOL formula is…

Q: 2) of Ec, 4" is convngend can we conclude that coch of these are comvergent: (4)

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Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: How many ways Com you orenge lo buks bokishelfthat fhes Apace for that has space for only on a 5…

A: This is the problem of permutation and combination. So, there are 5 places for 10 books on the…

Q: If (2,0),(0,1),(4,5) and (0,c) are concyclic and then find c.AP & TS.

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Q: Describe the elements in Q(π).

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Q: integer of the form okts is also but not' conversely

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Q: Show that the operation * on Q – {1}, defined by a * b = a + b – ab for all a, beQ- {1} satisfies…

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Q: Show, with justification, that (x^2+y^2)^2 =(x^2 -y^2)^2 +(2xy)^2   is an Identity.

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Q: Show that lcm (a,b)=ab if and only if gcd ( a,b)=1.   Thank you! <3

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Q: ) that Prnve Seck -1

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Show that (AUB) - (ANB) - CA-B) U (R- A) using laws of Bers.

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Q: Find the following Wronskian: W(2, 5t, -e-2¹, te-2¹) O-160e-4t 04 00 O-160e4 O 160et O-4 O 160e-4t

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Q: Show that the operation a*b=1+ab on the set of integers Z, has no identity element

A: Let e be the identity element which exist.  Then, a*e = e*a = a

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…

A: Given: There are 7 letters A, B, C, D, E, F, G

Q: H-LOoprove That1,2-2.1"= 121-2Re(Qã)+123] -1211-2 Re (Zz2)+|22]

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Q: Consider the following theorem: "The sum of two even integers is even." Rewrite the theorem as a…

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Q: If det(A)=0, then:

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Q: Prove: ДАВС — ДCDA %23

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Q: 521 End Adi A R A-

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Q: If A+B+C=90  then  prove that tanAtanB+tanBtanC+tanCtanA=1

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Q: what is the value of in 1

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Q: 1) Find the "axa"-netrik A such that, » A(;)- () ) A(;)- (3) o) A (*)- (:) «) A (;) - (*) 4) (*-yo A…

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Q: 10. Use Euler's Theorem to show that 5P(16), '=1 (mod 16). Show your work or explain your reasoning…

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Q: Let α, β, γ ∈ Z. Prove: If  α2 + β2 = γ2. then α or β is even.

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Q: Let x, y ∈Z. Prove that if x≡1(mod 5) and y ≡2(mod5 ), then x^2-y^2≡0(mod 5).  Give 2 examples to…

A: Given, x,y∈ℤ and x≡1mod 5, y≡2mod 5

Q: 3. Give two different answers to the following question: How many ele- ments are in the set ;-) :0?…

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Q: Find the positive integers n such that , the sum of positive divisor oln) = 24,

A: Sum of Divisors: Let the prime factorization of n be n=p1a1×p2a2×...×pkak Then the sum of divisors…

Q: Let (a,b)=1 Show that (a+b, a-b)=1 or 2. When is this GCD 1? When is 2?

A: Proof:It is given that gcd(a,b) = 1. So ax + by = 1.Let gcd(a + b, a – b) = d, then d|( a + b) and…