Write a two-column proof to show that if ZA= < B and Z B = Z C, then < A = Z C. с Given:

Q: 7. The figure shows a triangle with one of its angles bisected. The bisected angles are marked as 1…

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Q: Area of the Triangles are denoted by the following formulas: 1. Basic Formula, A = ½ * base* height,…

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Q: Two angles are complementary and the measure of one angle is 30 less than twice the measure of the…

A: As per the guidelines, I am providing the solution to the first question.   Answer 1: Concept…

Q: roţaţion 90° counterclockwise about the origin 7(2, -1), S(3, 3), R(5, 1)

A: Find the co ordinates after rotating 90° counterclockwise about the origin T(2,-1),S(3,3),R(5,1)

Q: Graph the following equation in rectangualer coordination system 2x+14=0

A: Given :   2x+14=0

Q: Segment Y'Z' is the result of a dilation of YZ. Y' Y M Z Z Which of these is most likely true about…

A: We have to select the correct option about dilation.

Q: Draw a circle whose center S is at a distance equal to TU from vertex A of the angle, and tangent to…

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Q: Y is between x and Z, XY = 5.8 and YZ=12.4 find XZ

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Q: In the figure, lines p and q are parallel. Determine the sum of a+b+c+d. d a b 9 (A) On your paper,…

A: Given Line P and Q are parallel.

Q: Given m ||n, find the value of x. (x+2)⁰ 111°

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Q: Identify and sketch the graphs of the following equations in R^3 1. z = cos y

A: As per our guidelines we are allowed to solve only 1 complete question. kindly repost others. THANK…

Q: Find the indicated side. Round to the tenths place if necessary. 15 40 25 12 24

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Q: graph the line with the given point and slope. the line through (-2,1) with the slope 4/3

A: We have to sketch graph the line with the given point and slope. the line through (-2,1) with the…

Q: Question 4 The curve y = a sin bx + c, where a, b and c are positive integers, is defined for 0°…

A: As per our answering guidelines we are allowed to solve only one complete question. I am solving…

Q: 1.Find the distance between the point (3, 1, -2) and the plane x + 2y - 2z = 4.

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Q: Y=x+4 what does the constant term tell us about the graph

A: Given function  y = x +4

Q: 2x + y =2, 4x+3y=7. Find the solution(x=?,y=?) by using the Matrix calculation method including the…

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Q: Solve for x, then find mZDEG and m/GEF. (18x-9) (4x + 13)° F D G E

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Q: 1. x + y x-y ≤ 3 -3 y ≤ 4

A: Please see the below picture for detailed solution.

Q: What is the x-coordinate of a stationary point of: 4x3 + 12x2 - 96x -46

A: Given y=4x3+12x2-96x-46

Q: 4. If f(x)= A. and g(x)=2x-1, find (f - g)(x). -8 +&-8 B. -2+6+1 C.-2²+bx − 3 D. 2x³ + 6x+8 *-3 *-8

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Q: Mensuration of 2D shapes: Shape Scalene Triangle Area (Square units) V[s(s-a) (s-b) (s-c)], Where,…

A: Given :   1. Scalence triangle : whose all sides are different 2. Isosceles triagle : whose two…

Q: Find the coordinates of H' using the transformation given. reflection across the y-axis

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Q: a) Given that the angle between the ray in the water and the perpendicular to the water is 29.7°,…

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Q: Write the coordinates of A' after the given transformation. rotation 180° about the origin B C x

A: We have the coordinates of A as (3,4) Now we have to find the coordinates of A' after rotation of…

Q: A EF B F C G

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Q: Using the diagram below, solve for y. S (2x-5) 1

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Q: The center of a circle is at (1,1) and one point on its circumference is (1,3). Find the other end…

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Q: A hyperbola in standard position has a foci of (±17,0) and x-intercepts of ±15.  The hyperbola is…

A: A hyperbola in standard position has a foci of (±17,0) and x-intercepts of ±15.    The hyperbola is…

Q: SAQ 10 (Problem) Find angle C. (ANS: 137⁰) B 14 in 9 in C 6 in

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Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axes are equal in length?…

A: Please see the below picture for detailed solution.

Q: what is a counterexample for the conjucture?     Conjucture: Any number that is divisible by 4 is…

A: We know that, In mathematics, a conjecture is a conclusion or a proposition that is proffered on a…

Q: Define area of a circle

A: Circle:- A closed circle geometric shape in space. A circle is a locus of a point moving around a…

Q: Using the diagram below, solve for y (545) (2x-5) (3x-25)

A: We can solve the diagram for 'y' as below.

Q: Using the existing axioms of the four-line geometry, prove without using the principle of duality…

A: To prove : there exist a pair of points without a line in common.  Given : using the axioms of the…

Q: Find the indicated measure for the figure. 43. Base of the triangle = 44. Height of the triangle =…

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Q: Ernesto is enrolled in an SAT prep class at the Newport Community Center. The community center is 3…

A: Given 1. The community center is 3 kilometers away from Ernesto's house. 2. On a map of Newport,…

Q: The original price of a lawnmower was $199.99. During a midsummer sale, the lawn mower is on sale…

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Q: Find an equation of the plane passing through the given points. (1, 2, 10), (5, -1, 9), (2, 3, 8)

A: Solution is given below:

Q: Mensuration of 3D shapes: Shape Hemisphere Cylinder Cone Volume (Cubic Curved Surface Area (CSA) or…

A: See the details solution in below

Q: Sx P 20° A 0 40° T OT is a radius of the circle and PTQ is a tangent. Find the value of x.

A: Given, ∠SPO=20°,∠OPT=40°,ST is diameter. Since PTQ is tangent ∠PTS=90°

Q: E- Question 9/20 Q (1,3) (-1,3) (1,-3) (1,3) (3,1) S (3, 5) NEXT R 5, 11 BOOKMARK X AQRS is…

A: We have given triangle QRS Points are given as  Q=(1,3) R=(5,1) S=(3,5) Translating triangle QRS ,…

Q: Question 3 Find the value of c and YZ if Y is between X and Z. XY = 11, YZ = 4c, XZ = 83 C YZ=

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Q: Given c(7,4) and D(-2,1), find the coordinates of the point that divides CD two- thirds of the way…

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Q: ind the following for the circle. a) the portion shaded b) the area of the shaded region c) the…

A: When radius r =1 units a)

Q: Consider the plane 2x + 2y - 3x = 18. (a) Find a point that is not on this plane. (b) Find an…

A: As you asked multiple subpart as per guideline I only do three of them.

Q: Given a hyperbola x² – 2y² + 4x + 4y + 4 = 0. Determine the distance of one focus from the x-axis.…

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Q: What does the upside down u mean as well as the B'?

A: To sketch a two‐circle Venn diagram like the one shown here and to label the four regions of the…

Q: For what values of a and b are the vectors u = (2a - b, -1) and v = (4, 3a - b) equal? a. a = -5; b…

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Q: In the diagram. ABLXY, mZXPZ-38 and m<BPZ=(5x+2). Determine the value of x. X

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