10. Given: BD || CE; 25 = 26 B Prove: AC a AЕ (a) BD || CE A (b) AC = AE (c) 25 = LC; 26 = LE (d) 25 = L 6 (e) LC = LE D E

Q: If fx) dx -5 and

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Q: 11. If d || e, mZ6 = 9x - 4, and m28= 4x + 67, then a. m25 = 6 7 b. m27= 8 e

A: Supplementary and corresponding angles

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A: (A)

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A: The given integral,∫-111-xdx

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Q: 100 100 50 8. If f0 fy) dy = V and fo f) dy = W, then o f(y) dy =

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Q: H In OJ, GH = 9, KL = 4x + 1. Find x. R 5. 5 S. GK

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A: Given figure is

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Q: 5. Defuef f(マ)L as f Cau (a) り)I(2

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A: In the given problem Length of the line is RL=5 Hence option (C) is correct.

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Q: If a, b, c are in HP. b, c, d are in G.P. And c, d, e are in A.P. show that e= ab? (2а- b)*

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Q: 12. a. If n(AUB) n(A). = 23, n(ANB) 23, n(ANB) = 9, and n (B) = 12, find

A: Some results and theory- For any two sets A,B we have the desired result- n(A∪B)=n(A)+ n(B)-n(A∩B)…

Q: 7. In the diagram, DG = FE and ZFDG ZEFD. Find the length of DE. 6x + 4 F D E 4x + 8 G 4x + 1 ho

A: Recall: Properties of parallelogram The opposite sides of the parallelogram are equal. Therefore,…

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A: Given :2m12m2+m2

Q: (:) w-(;) .w If U = W U W= 5, and W a, then the value of a is: %3D O a. 5 O b. 25 Oc v5 O d. 20

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Q: 9. The Pength of the Curve ņ = 206ti t2dintj ,0ts IT is :- (0)21 (6)47 (c) 87 (d) 1677

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Q: 8 . 2 | f(x)dx 38 what is Given that f(v)dv? 11' 2 8.

A: Here we have to find the value of integral. The solution is following.

Q: 8. Evaluate dx . 6x A) +C 6. D) -C B) +C 5x 7x7 O b C O d

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Q: Evaluate / xdA where R is the rectangle: −1≤ x ≤ 3, 2≤y≤5. -1 A. 3 B. 6 C. 10 D. 12 E. 15

A: Given that ∬RxdA , where R is the rectangle: -1≤x≤3,2≤y≤5

Q: R. 7) 32 ZR = RW = RK =

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Q: 33. What is the real part of In (2 + j2)? a. 0.785 b. -0.785 c. 1.040 d. -1.040

A: 2+j2=2√2(1/√2 + j/√2) = 2√2(cos(π/4)+jsin(π/4))

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Q: C GIVEN: AADB AEBD B D PROVE: AAEB AEAD A F.

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Q: a4)Giveni mel=x,mca=4y ,mL3=ay ,met=2x-yšto. Find: XN,and m25 (minus) 3\4

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Q: Q6) Show that if P(AU B) C P(A)U P(B) then either A C BV BCA. Justify your answer.

A: The solution are next step

Q: L(cosh 4t) = .a O s²-16 .b O s2 -4 .c O s²+16 S .d O s2-8

A: Using the Laplace Transform. Lcoshat=ss2-a2               ........1 Given, Lcosh 4t Clearly in the…

Q: If A is a 2 x 2 with det(A) = 3, then det(4A1) = %3D

A: det(A-1)=1det(A) det(4A-1)=4ndet(A-1) where n is the order of the matrix.

Q: 6. Given: 7y - 84 = 2y + 61 Prove: y 29 %3D Reasons Statements

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Q: www. 1 _ 5c = < KIN hond kis Qa G Find the components of the vector -5c based on the vector shown.

A: Given that a graph of the vector. Find the components of the vector -5c based on the vector shown.

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Q: If P(A) = 0.6 and P(ANB) = 0.3, then P(B | A) A) 0.75 B) 0.3 C) 0.5 D) 0.66 E) 0.15

A: