In ACOD, let E, be a point in CO, such that DE bisects ZCDO, if CD OD. Prove that ACDE AODE. Reasons (6) CD = OD DE bisects ZCDO (9) DE = DE ACDE AODE (7) (8) Definition of angle bisector (10) (11)

Q: 1. Evaluate a) for²dr, 2. Evaluate fr+7r² dr. 3. Evaluate a) fe²dr, r/2 4. Find sin rdr. b) dr, c)…

A: 1. evaluate  a) ∫01x2dx = [x3/3]01 = 1/3   b) ∫231/x2dx [-1/x]23 = -1/3 +1/2 = 1/6   c) ∫12x2dx =…

Q: Using Aristotle's Axiom, show that for any ray AB any point P that is not on the line and given any…

A: Aristotle's axiom is an axiom in the foundations of geometry. It states that if  XOY is an acute…

Q: The Critial Points of fcx,y)t+Ý-4y subject to the x+y=9 is O (o,さ3), (は5,2) ④ (e, さ)さ何,) None of…

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Q: 26. Given: B is the midpoint of DC. ABL DC 1. B is the midpt of DC, AB 1 DC 2. 3. 4. Prove: AABD =…

A: Consider the triangle

Q: 2) In the following diagram we know that BD is the perpendicular bisector of AC. Show that ACDB =…

A: 2)  Given,        BD is perpendicular        biscector of AC            To show:-…

Q: By using Cauchy laws find: sin (2) dz -i2 cos (2) dz 2-T3

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Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 19π/6.

A: To find the coterminal for a given angle, Subtract 2π from 19π/6, => (19π/6) - 2π

Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: Let ∆ABC be a triangle. (a) Prove that B’ lies in the interior of AC if and only if ∠BAC and ∠ACB…

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Q: A Point in a cadrant IV s on the init Circle. T f ts X Coordinate is 12 find the EXact value Of its…

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Q: What information is missing from HL theorem? 3. What additional information can be used to prove the…

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Q: 1. Let P₁(0,0,1), P₂(1, 1, 0) and P3(0,1,1) be three points in R³. Evaluate cos / P₂P₁P3, where…

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Q: Q/Lx 5²= {(xX₂, X₁) ER² : x² + x² + x²³²-13 be centered in a ball (0,0,0) andradius 1 Prove that…

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Q: Point Y is in the interior of ZXWZ. Given that WX and WZ are opposite rays and mXWY = 4(MZYWZ), what…

A: When two vectors opposite in direction then angle between them 180°

Q: Activity 2: Give the proof of theorem 50 (Parallel-Alternate exterior Angle Theorem). Given: 1 II 2,…

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Q: Let u = = (1, 2, 3, 4), v = (0, 2, t, 3), and w = (1, 1, 0, 1). Find t so that the angle between u −…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: O Let t- ,=<8, 4) and -8,4) and w = -6î - 2. Find: %3D a) ū + ☆ Caleulate the angle between i and T.

A: Given:

Q: 9. If ABC is an acute angled triangle then the minimum value of sin A + (1 -sin A)* + sin B + (1-…

A: Claim: for 0≤x≤1, f(x) = x⁴+(1-x)⁴ is minimum when x = 1/2  Proof: f(x) = x⁴+(1-x)⁴  So, f'(x) = 4x³…

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 25π/6.

A: Coterminal angle: Finding coterminal angle is as simple as adding or subtracting to 360∘ or 2π.

Q: Let C2 be the boundary of the triangle whose vertices are (1, 2), (-3, 1), and (-2, 2). Suppose C2…

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Q: Suppose is the angle between u and 7. Then ||ū + v||² = ||ū||² + ||v||² +2||u||· ||v||· cos 0. True…

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Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

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Q: 9. Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

A: Given,           2x+3y+z=3    and   x+3y+2z=-3We know that,           Suppose the two equation be…

Q: Write a two-column proof showing that triangle ABC is congruent to triangle ADE. Then, describe…

A: Triangle ABC and triangle ADE AC = AE = 6 AB = AD = 10  ∠EAD =  ∠BAC ∆ ABC ≅ ∆ ADE  ( SAS property)…

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

Q: 14 Trapezoid PQRS is rotated 180° about the

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Q: E If O is the midpoint of El and JM, what postulate or theorem proves that AEMO = AIJO? M O ssS…

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