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Q: ACDE - ACBA with 2CDE = ZB. A If CD = 10, CA = 12, and EB = 14, find CE. %3! CE =

A: Properties of similar triangles if two Triangles are similar then n.d. ratio of corresponding sides…

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: AC=CB , C is inwutible ģ B has form ^^^,)orle B hes form で) ANJor

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Q: 13. 14. 13 15. of 10 15 to 8. Co

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If P(A or B)= 0.8, P(A)= 0.5 and P(A and B) = 0.25, find P(B)

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Q: O Nothing O rank(P)<7 O rank(P)36 O rank(P)=0 O rank(P)=3

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Q: Find E, the maximum error of estimate, for these conditions (see normal distribution table)

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Q: If (an)? – (an-1)(an+1) = (-2)" for n>1 and ao = a1= 1 then az = a ) 0 b) 5 c)-3 d) 1 e) none a b. o…

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Q: Let a,b,c eZ. If a|b and a |c then a' |(b² =c² ). nsi2

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Q: Evaluate if a = 3, b = -2, c = 7, d = -1, and e = 0. 1. abc -42 2. cde 3. ab + cd 4. cd + ac 5. ac -…

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Q: TV given that ST UV R. 4x-4 24 4x +5 O 3.25 0 9 O 16 O 18

A: The given triangles have,RS=8, RU=24, RT=4x-4, TV=4x+5

Q: P(B) - . If P ( A ) = ,P (AOB) 3 B ) 15 Find i) P (AUB) ii) P( AC OB ) iii) P(AN Bc )

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Q: Statements/reasons

A: Disclaimer: “Since you have asked multiple question, we will solve the question 10 for you. If you…

Q: [a,b]=b, then (a,b)=Da ect one: True False

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Q: 9. Given: DE | BC, AD = 5, DB = 12, AE = 7 EC 48 0 Find: A B.

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Q: a|b a is multiple of b. ulgn O ihi O

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Q: P(A|B)=0.2, P(A|B')=0.3 ve P(B)=0.8 , P(AUB)=?

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Q: If a, b, c E Z and ab | c, then a cand b | c. If a E Z and a | 0, then 0 | a. If a, bEN, then…

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cel 1 2 2 -1 A = B =…

A: we have to find product of matrix .

Q: 45. Suppose ABCA AECD Which statement is NOT necessarily true? BA ED A. В. BCCE C. BCA ZDCE D.

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Q: If CD E o(A,r) then AC+ AD- 2r

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Q: If 8 = (AB) - (AB)o, then with usual notations, prove that [(A) – (a)][(B) – (B)] + 2N8 = (AB)?+…

A: Given:-                A-αB-β+2Nδ = AB2+αβ2-Aβ2-αB2

Q: Find, If possible, AB and BA. (If not possible, enter IMPOSSIBLE In any single c 1. -D2 A = B = 1.…

A: The given matrix are A=2131 and B=1-2-26. The multiplication of two matrix say A=abcd and B=efgh is…

Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

Q: ا = (porve ere(o if : erf=3√² =²². st

A: To prove that            erf∞=1. If  erfx=2π∫0xe-t2dt.

Q: 1. If A = B = 2 - find (a) A +B, (b) A - B, (e) 2A – 3C, (d) 3A + 28 - 4C, () AB, S BA, (9) (AB)C,…

A: Note: Please repost remaining subparts as i can answer 3 subparts as per my policy.

Q: 8. Given that AD=4, DB = 3, AE =8, and EC =x+2, find EC.

A: In given question AD = 4 DB=3 AE=8 and EC= x+2

Q: 21 (AUC)n(BUC) 22 A-B B (((ANB)U(CNB))u(ANC))-((ANB)NC) 23

A: The union of two sets A and B , denoted by A∪B  is the set of all elements which are either in A or…

Q: Given: 23 = 21 Prove: AB = AC D /2 3/6 E

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Q: 1 2 If A= , then show that |2A|=4|A|| 4 2

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Q: e) CF = 6, AB = 5, BC =? f) EG = 4, BC = 3, CD = ED, ED =? g) AC = 30, BC = 5, ED = 12, CD =? h) AC…

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Q: ind {(1,-1,0,2), 3,4,2,1), (1,0,0, 1)} ench vecton th anther There three is this combinat ave

A: In this question we will use basic of calculus i.e concept of vector calculus. We will simply form…

Q: 100 a. Suppose aj=8+2j, what is a b. Suppose a; = 7 * 2¹, what is Σja; 100

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Q: if ACB, P(A)=1/4, and P(B)=1/3, find P(A/B) and P(BA)

A: Given A⊂B  P(A)=1/4, P(B)=1/3

Q: af af af дх ду дх (1, -1) af and Calculate when defined. (If an answer is undefined, enter…

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Q: /EN: p || q ||r 24 = 25 !. 23 = Z8 1 7 .Z4 = 211 2 8. Z1 = 24 Z6 = 29 3. 6. 4 10 24 = Z11 5\ 11 r 27…

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Q: 1 Given that P(A or B) = —, P(A) = =, and P(A and B)=, find P(B). O A. 77 360 11 O B. 180 67 OC. 360…

A: Given;P(A or B)=15P(A)=18P(A and B)=19

Q: Given P (A) = 0.45, P (B) = 0.30, P (A ∩ B) = 0.05. Find P (A|B).     0.45     0.135     0.30…

A: Solution

Q: Given: -8 17 sece = %3D O 17/15 O -17/8 O -17/15 O 17/8

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Q: be' and y = ip ae', then If O a a. -a/b O b. a/b O C-b/a O d.b/a O e. None

A: Solve for dy/dx

Q: 120 If A=0 3 1 R3 B, then det(B) = %3D 0 0 4

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Q: If u ≠ 0 and if u * v = u * w andu # v = u . w, then does v = w? Give reasons for your answer.

A: Given, u≠0, u·v=u·w  &amp;  u×v=u×w Consider, u·v=u·w⇒u·v-u·w=0⇒u·v-w=0⇒v-w=0           ∵u≠0⇒v=w…

Q: 2) Shade (BU C) U A A

A: Given that (B∪C)'∪A  We have to shade the given area

Q: 1. AB 2. ABC 3. ABD 4. BC 40 5. BAC 6. DAB AC I BE 7. AD 8. CD 9. In E above fell whetherABC ADC.…

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Q: 2 1 Q7) J, xx?+1) 2 a) In /5 b) In 2 + In(/2) 3 c) In 5 In 7 d) In

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Q: If arg (z) < 0, then arg (-z) – arg (z) * equal to -TT -Tt/2 O Tt/2 O

A: To find: The value of arg-z-argz. Given: The value of argz&lt;0. Concept used: If z=cos θ+isin θ…

Q: -6] and A 3 ►lIf adjA =|, , then z is equal to 2 Question Select one: O True O False

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Q: If Ac B, then A N B = A u B. sometimes always never

A: This question solved by an example

Q: Find MA, AB, AÑ and MÑ. If OM : MA = 2:3 and AN = AB. B

A: Given that OM:MA=2:3

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.