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

Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: Given indefinite integral is ∫dxx2+2x We can solve by using the trigonometric substitution. Given…

Q: AD 1 DR, AB 1 BR, AD AB Given: Prove: LDCR = LBCR TR C

A: We need to prove ∠DCR≅∠BCR

Q: AB 16. Given: SR BC CA RA AS Prove: BC | AR -C S. R.

A: Given: ABSR=BCRA=CAAS  To Find: To prove BC¯∥AR

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?

A:

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: 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: . 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: Theoreng. del I.I..Inare iIealsof aning R The Ris interiadird samof IT Tn OR-T+It iff 17 +In

A:

Q: en: PQ SR, ZPQR = ZSRQ we: APOR = ASRO

A:

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

A:

Q: 13. Given AB | CD and AB = CD Prove AABC= ADCB A D B A

A: The given data is: AB¯∥CD¯ and AB¯≅CD¯   To prove that:  ∆ABC≅∆DCB

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

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: Given: AB | DC, AB = DC Prove: AABD E ACBD

A: Given : AB∥DCAB≅DC

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

A: We have to proof

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

A:

Q: 13. Given u = and v = , find: a) u + v b) 2u - v c) Ju|

A: Given that u= <-3, 5> and v=<4, -7>   a) u+v = <-3, 5> + <4, -7> = <-3+4,…

Q: Question 14 Use the given information to complete the proof of the following theorem. If two angles…

A:

Q: O ACBIF and only if AU B = B

A:

Q: AABC and ADBC lie on same side of BC. If BA=CD, BD=CA, prove that AD||I

A: Introduction: A parallelogram is a type of quadrilateral produced by intersecting lines. A…

Q: 8. If å = [1,3, –1] , b = [2,1,5] and i = [-3, y, z] Find the value of y and z if å x i = B a) Find…

A: We have to find the cross product of the vector.s.

Q: 1. In the figure below, side AC = side DF and side CB = FE. Which additional information can be used…

A: Given side AC=side DF side CB=side FE

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: Prove: Prove: If a b and ba, then a = b or a If a does not divide bc, then a does not divide b. b.

A:

Q: [1 1 0] A =|0 2 1 if A: adj(A)= ? %3D 10 1 O A) A O B) 313 p) -13 OD) -313

A:

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: GP ven& LPE ZD PA AD Prove8 MA NA A.

A:

Q: Use C.P. or I.P. or both to construct proof for the following: Premise 1: (~ C . (F v E)) v (C . ~…

A: Let us start solving step by step and prove the conclusion from the given premises

Q: 6. Prove that, if a, b e Z, then 3a? – 4b – 5 0. - -

A: Answer

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:-