Prove:  If in △ABC we have ∡B ⩭ ∡C, then AB ⩭ AC.

Q: In each case, perform the indicated operation. a. In C*, (7 + 5i)( – 3 + 2i) [7 4] tK b. In GL(2,…

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Q: 1. Given: AB = CD, BC = AD Prove: < A =< C A B D

A: SSS congruence postulate: According to SSS, two triangles are congruent if all corresponding sides…

Q: If a proof shows AF EG which theorem would show that AABF EAEDG Trign le

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Q: If a+a E CIR) for then prove commutatiive. all ae R, that 1R is

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Q: Consider the diagram below. M T 5 yd 5 yd 3 yd 3 yd If MN 1 NO and TO 1 OX, then explain how we can…

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Q: Discuss ARIMA and SARIMA using appropriate formulae.

A: ARIMA is one of the most popular and widely used statistical methods for time series forecasting.…

Q: 1) sin C

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Q: Glven: AD BC; AD BC Prove: AABD ACDB D 1. ADI BC 2. 22 23 given 3. → 5. Given 4. BD BD

A: To find the solution

Q: 1. Given the identity, 1 + cotx = cscx. For which values of x is the proof valid?

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Q: Fre Prove F gd(aib)=1

A: If g.c.d(a,b)=1 then We have to show that gcd(a+b,ab)=1

Q: B E D

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Q: 102 メ1ラ

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Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: costex) +X

A: We evaluate the integral as,

Q: Prove by induction that for sets A1, A2, . .,An, n A¡ i=1

A: For induction method we take a statement. We will show that the statement is true for n=1, n=2 then…

Q: SU ST. Complete the proof that ZU ZT. T Statement Reason 1 SU ST Given S7 S7 ASTU ASUT 4 ZU ZT 3.

A: Answer: The solution is as given below :

Q: If a-x px a-y ду a-z rz and p, q, and r are in A.F

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Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

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Q: Find the length of MK 40 > 48 21 15 H M K U - 26 > 40- -> A. 14 В.5 Ос. 19 D. 88 Reset Selection

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Q: 8 Giuen DE DE H. EH HE Proue: ADHE ADHE

A: We have to proof

Q: Question 3: [4+ 4 marks] a) Use a pick-a -point to show that, if An Cc BC and AUCCBUC, then ACB.

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Q: If Y=tanx prove that %3D2

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Q: For all sebs AiB andc, if CAUB)-C =B, then coo CAnC) B=¢

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Q: State which of the following statements, are true, vacuously true, or false. (a) If A CAN B, then…

A: I have given the answer in the next step. Hope you understand that

Q: 27 2 Sin ²0 a+bcose do a>bso

A: Let the given integral is…

Q: 12 5 What is the value of sin(20)? Given: tan 120 119 119 169 O 119 169 120 169 and is in QIV.

A: Given query is to find the value of the sin(2θ).

Q: 3. What additional information do you need to prove AABC = ADEF by the SAS Postulate? B D 2

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Q: 7. Given: AB II CD Prove: AABE~ADCE

A: We have to use AAA similarly criterion here.

Q: A, Az, An are independert,2) PLiln)=r9)-1), where Bi is eitler Ai or Ai for izlityn in please proof…

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Q: ssnip

A: Given: B=abcd A=1234 AB=BA AB=1234abcd     =1×a+c×21×b+2×d3×a+4×c3×b+4×d     =a+2cb+2d3a+4c3b+4d

Q: In the diagram of AABC, DE | AB, CD = 15, AD = 9, and AB = 40. %3D %3D 15 B. Complete the following…

A: To Determine: in the diagram complete the following proof to find the length of DE. Given: we have…

Q: T/4 csec o Evaluate p² sin o dp dø do

A: We need to find the triple integral using integration formulas

Q: eip_e-iq eip+e-ip. Prove tang = 2i 2

A: The detailed solution is as follows below:

Q: Prove both sides equal πο(ρον) = (πορ)ον

A: We go to Next step

Q: 3. Write a two column proof using rectangle GHIJ to prove ZGHK ZJIK. H G K J

A: Given :- GHIJ is a rectangle.To prove:-

Q: 3. Let AC BCR. Prove ACB.

A: