BE Given that ZA is supplementary to ZDEC. Prove that AB 11 BD BC

Q: Assume that a b•c and that gcf(a,b) = 1. Prove that a lc (hint: use the result that gcf(a,b) = 1 iff…

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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: A AB

A: Is AB is congruent AD what theorem is used to prove this?

Q: If a+a e c(R) for all ae R. then Commutative is prove that

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Q: a) z + b) z- w c) w - d) w 2 IN

A: Use the complex number and its conjugate pair concept.

Q: Let i = i +2j+3k , Find e so that ||c|| = 3.

A: As we know that; The property of scalar multiplication of a vector ka→=ka→ Given: u→=i→+2j→+3k→

Q: 9. Find the point C such that AC = ² AB. 4

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Q: Select the statement that is false. ZCR O Zt CN Z CR* R¹ (Z<R

A: Z is set of interger which are 0,Z+ is the set of all positive integers 1, 2, 3, ........N is the…

Q: Prove that: (5a + 6b|a, b = Z} = Z

A: To prove that .Concepts used:Consider two sets  and . To prove that , we first need to show and…

Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: Prove that if AT A = A, then A is symmetric and A = A².

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Q: Which statement is true about the diagram below? S R ARQC ASUC by SAS ARQC ASCU by SAS No triangles…

A: Question No. (1): To determine the true statement about the following diagram.Note: Since you have…

Q: Prove if: beR – {0,1} and a– 2b=ab, then b :( 1 a b+1 constans Value | 2

A: Topic:- Algebra

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

A: Given: △ABC where ∡B ≅ ∡C.We want to prove: AB ≅ AC

Q: Prave that toc all numbers a and b, if (a,b)=d and az df, b=dq+ then df, 6=dg, then.

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Q: Let r ERQ. Prove that for all a, b, c EQ, =cr iff a = 0 and b = c. a + br

A: Given that r∈RQ Let a,b,c∈Qa+br=cr iff a=0 and b=c

Q: Part Ca):- a*t a e CCR) for all ae R sthen prove that R is commutative.

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Q: 1. Let a, b € Z so that 2a + 3b is a multiple of 11. Prove that 11 divides a - 46.

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Q: When proving Ac B, you assume x e A and x e B Select one: - True O False

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Q: 4. Prove the following statement by contradiction Let x, y Z. Then x²-4y-30.

A: Even+Odd=OddEven+Even =Even

Q: Show that if A is nonsingular and AB = O for an n × nmatrix B , then B = O .

A: We have given  matrix A is non singular and AB=0 for an n×n matrix  B. We have to prove that B=O

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: Prove the following theorems: 1. If a /b, then a / bc.

A: Suppose that a | b. If a|b, then by definition there exist an integer m such that b=ma. That is,…

Q: Evaluate a) 2 + V7)dr.

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Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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Q: if a2+aEccR; Fos all fiso:e that aER, Ris camutative. then

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Q: Prove that OfVg.dr = ] (Vfx Vg) · N ds.

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Q: Prove: Provided it exists, (A-1)¯ = A.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: a) Let Z = 7 – 13i, find: i) Im ) ii) (Re Z)?

A: Complex Numbers: The complex number is basically the combination of a real number and an imaginary…

Q: 1-Find the divisos. of ZxZ+ZxZy IRX Zyx Zy. zeso

A: " Since you have asked multiple questions, we'll solve the first question for you. If you want any…

Q: 1. Prove that fraction where m is z-4

A: Given: zn-1z-1 ⇒zn-1nz-1 ----(1) Let apply the limit in equation (1) limz→1zn-1nz-1 ----(2) Let n=pq…

Q: 1. Write (2 + i) (4 - 3- 21 in the form a bi, where a,bR.

A: Value of i 2 = - 1 And i 3 = i   ( a - b ) 3 = a3 - b3 - 3 ab ( a - b )