1) Complete a proof of the following in 2 column form. Given: mz3 + mz8%3D 180 Prove: a I b

Q: 2. In the diagram below of AA DC and AADB DC DB, and A C=AB. To prove A A DCaAADB by SAS, what other…

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Q: Consider A = 8i – 12j, B = 2i + 14j, and C = 18i – 10j. %3D %3D

A: See attached file for a step by step explanation.

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

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Q: 44. (BU A) N C = 45. ACNB = %3D 46. (B n C) UA= 47. AC U BC = 48. BUA= 49. (B U C) U A= 50. C n Aº =

A: The solutions are given to be- 44. B∪A∩C=u, r, y45. Ac∩B=u, y46. B∩C∪A=j, a, r, u, y47. Ac∪Bc=u, y,…

Q: Use the drawing below as needed to answer the question. 1. 3. 7. 6. 8. 4 Given: m || n transversal k…

A: Solve. For x and y and angle 7

Q: Given z = (1 + iv3)100, then %3D find the value of Re (z) / Im (z).

A: The solution is given as

Q: Given that 21xx2 + 4 dx = 35/5 - 56, what is 21uvu? %3D 4 du?

A: Given integral and it's value - ∫0121xx2+4 dx = 355-56         ...................(1)We need to find…

Q: 4. If mDE = 108° and m ZDOC = } a. mEA b. MZEAF = 85°, find: %3D D C. MZDAC

A: Given   mDE⏜ = 1080 and m∠DOC=850  a) By diagram of the circle mDE⏜A  is semi circle.  ∴…

Q: A rectangular box has dimensions 8" X 6" X 4". Approxi- mate, to the nearest tenth of a degree, the…

A: Given, the dimensions of a rectangular box is as follows: length = 8 inches  width = 6 inches…

Q: Given: Prove: A AB || DC AF = EC BE || FD B KABE CDF E F D C

A: Question is solved.

Q: Given that P(A|B) =0.5, P(A) = 0.4, and P(B)3D0.44, then P(BIA) is equal to:

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Q: If MZLMK (6a + 18), find a so that ML 1 MK. %3D L. K M

A: Given: m∠LMK=6a+18°

Q: QUESTION 1 State by True/False: 3a e Z, V beZ a+b=2 O True O False

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

A: Topic:- Algebra

Q: Given: AB I BC; BD 1 AC a. If m LC = 22, find m L ABD. b. If m LC = 23, find m ZABD. c. Explain why…

A: According to given figure in △ABC and ∆ADB ∠ABC=∠ADB…

Q: Given: ARST with mT = 30°, mZS = 60°, and %3D %3D ST = 12 Find: RS and RT

A: By using sine law, we calculate the required values of a triangle.

Q: Find v−w​, if v ​= 4i −3j and w ​= 5i −2j. IIv-wII=?

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Q: If DE = 5, EF = 2x, and DF = 7x, what is EF? %3D %3D %3D 2x 7x

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Q: Complete the two-column proof. Given: MZFEH = MZGFE = 90, EH = FG Prove: HF = EG E Statements…

A: Consider in the given figure  m∠FEH=m∠GFE=90 and EH≅FG¯. Consider the two traingles ∆GFE and ∆HEF.…

Q: %3D 2. AB = 20, BC = 24, AM = 7, MC = x. x = %3D B 20xX A

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Q: Give a paragraph proof for the following problem. GIVEN: AB > CD and BC > DE PROVE: AC > CE A C D E

A: Given,  AB > CD ................ (1) BC > DE ................ (2)

Q: Consider the following. Given: AABC with mzA = 45°, mzB = 30°, and %3D BC = 10 %3! Find: AB 45° 30°…

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Q: Given: AAMF, mZA=28' mZF=49°, AM = 12 %3D Find: AF, MF

A: △ AMF ∠ A +∠ M +∠ F = 180 ∠M = 180 - 49 - 28 ∠M = 103°

Q: 25 Given: AFED is equilateral. GE 1 DE, MZFEG = x + y, mZD = 3x – 6, mZF = 6y + 12 F %3D Find: x, y,…

A: Given the data:

Q: Question 4: If a = -(~p v ~r) and KB = (p v q)^(~q vr), prove by the analysis method (proof based on…

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Q: A. ar + by + cz = 0 B. bcx + acy + abz abc O C. az + by + cz = a +b+ c D. ax + by+ cz = abc E. None…

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: We need to find: (a) ∣A∣, (b) ∣B∣, (c) AB,  (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣. “Since you…

Q: 3. Given: J is the incenter of a ABC , JD=6, JE = 2x-4, and mZACB = 34. %3D %3D A C F

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Q: Given: AB 1 BC mz1 = %3D 22 = 23 22 = 2x +5 A. 23 = 4x – 11 m22 = Find the measures of 21, 22, and…

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Q: 1. In square MISA, the diagonals intersect at P. If MLMPA = (2s + 3t)°, M¿ISP = (4r +s)° and M2MIS =…

A: Diagonals of square bisect each other at 90°.

Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

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Q: In trlangle ABC AH 1 BC DA m(BCb) = 25° JADI = |BD| = |CH| %3D %3D 25 %23 H. According to the glven…

A: A will be the right answer.

Q: 2. If mCA = 50° and mER = 40°, %3D %3D what is the m2CSA ? a. 90° b. 500 If mHO C. 450 d. 400 150°…

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Q: |,x = [] , B = [º,] then,lA| = If A = %3D %3D 1. 16 2. 4 3. S 4. - 12

A: on solving this we get

Q: If u' = a, vº and w buª then w is equal to %3D %3D O ba,v O None of these

A: In the given question we have to find the value of . so we will find directly in step 2.

Q: In a A ABC, if ZB = 70° and sides b 11 cm, c 6.8 cm, then ZC is %3D %3D O 0.62° O 36.51° О 52.65° O…

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Q: 10. If CD = 5x – 2 and AB = 2x + 18, find %3D AB B.

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Q: If mZTYW = 70°, then what is mZUYV? T. X1 R 32 W 6/5 U Answer: MZUYV = %3D Submit Answer attempt i…

A: Uses the Definition of supplementary angles.

Q: 7. Find the area of the quadrilateral if AB = 3, BD = 12, AC = 4, CD = 13, and AB is %3D…

A: Join BC

Q: Show that if a b, then a+b ab 0. ... 1 a+b ab ... a +b an+1 a+1 ... %3D a-6 ... ... ... ... ... ...…

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Q: 7. If B is between A and C, and AC = 5y + 9, AB = 18, and BC = 2y. Find the value of y. Drawa…

A: The given information can be diagrammatically represented as shown below:

Q: If JU| = 30, JA| = 19, |B| = 11, and |(A U B)'l. = 4 find |A N B|. %3D %3D %3D %3D A B

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Q: 7. If B is between A and C, and AC = 5y + 9, AB = 18, and BC = 2y. Find the value of y. Draw a…

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Q: 9. In ADEF, if ZD= LE, DE = x + 4, EF = 4x – 8, and DF = 7x – 35, find x and the measure of each…

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Q: Suppose mCG = 6x +5, mAR = 4x + 15, and mLAEC = 120°. Find: %3D a. х b. mCG с. тAR

A: Given that , mCG⏜=6x+5 , mAR⏜=4x+15 , m∠AEC=120°

Q: Given: AAMF, mZA=28° mZF=49°, AM 12 %3D Find: AF, MF M F

A: Use sine rule of triangle

Q: If A-B=0, implies that A*=B" %3D 0 صواب ylgn İhi O

A: Given A⇀-B→ = 0

Q: If In a = 2, In b = 3, and In c 5, evaluate the following: %3D %3D a' (a) In (品) (b) In Vb°c*a³ %3D…

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Q: 13. * If V = TR', then R is %3D 3V (A) (B) 4tV (C) 6. 2r.V (D) 3.

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