Topic #1: Sets & Venn Diagrams 1. Suppose a universal set consists of the multiples of 3 that are no more than 36. Two subsets are created from the universal set; Set A contains the even numbers, and Set B contains numbers that are greater than 15. Complete the Venn diagram to the left, then list the elements in each set. U a) U B b) A c) B d) A' e) B' f) ANB g) AUB

Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

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Q: Find the sum of the exterior angle of a dodecagon?

A: Recall: A dodecagon has 12(=n) sides. Sum of Exterior angles=Exterior angle*n Exterior…

Q: Tabulate the components and determine the resultant (magnitude and direction) of the given system of…

A: The given problem is solved below in detail.

Q: The diagonals of quadrilateral ABCD are perpendicular. If AC = 14 inches and E BD = 25 inches, find…

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Q: GEO 5.2 PRACTICE AB 5.1 Practice NAME Period DATE 1. In the figure, ABCD = EFGH. Identify all pairs…

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Q: 16) M 68° L ? K

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Q: Which terms describe this shape? Choose all that apply. isosceles trapezoid rhombus square…

A: An isosceles trapezoid has a pair of opposite sides parallel and the other two sides congruent

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD=11 and AC=12 what is the…

A: Given query is to find the value of AB

Q: The points M (9, 4), N(0, -2), O(-2,-9), and P(7,-3) form quadrilateral MNOP. Plot the points then…

A: Given :

Q: Graph the points on the same axes A(5,1), B(-8,3). C(0, -1), D(-2,0) GOLD Choose the correct answer…

A: This question can be solved using the concept of plotting of points in xy plane.

Q: ABCD and AXYZ have the same length of base and the same length of altitude. If the area of ABCD is…

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Q: Determine the measures of the angles using the diagram below. {//m 44 64°º 122 1: 2: 3: 4: 1 3 4

A: topic - lines and angles

Q: State a Euclidian axiom and provide a real-world application as an example.

A: A Euclidian axiom is as follows:-  1.) Things which are equal to the same thing are also equal to…

Q: Determine the angle between a and b given that â - 56 and â - bare perpendicular.

A: if two vectors are perpendicular then their dot product is zero

Q: 9.a) Describe the nature of the system. x + 2y + 3z + 4= 0 b) Determine the intersection of the…

A: A detailed solution is given below.

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: Find the number of possible triangle formed??

Q: A length of rope is 50 feet long and weighs 20 grams. What is the density of the rope? O p = 0.4…

A: Solve for the density

Q: The circle at the right represents a planet. The radius of the planet is about 6100 km. Find the…

A: Use pythagorus theorem to find the d

Q: Obtain an equation for a straight line that passes through the point (3,5) and has a gradient of -4.

A: As we know that; The equation of the line (point-slope form): y-y1=mx-x1 Where; m is the slope or…

Q: H E F

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Q: 12) F 750- ? D

A: Solve the following

Q: x = [?] 4x + 4 4x - 32

A: Solution of given question is written in below step.

Q: D. Each figure pair is similar. Find x. 15 1. 5 x 2. 8 9 x 21 7

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Q: Use the image below to answer the following question. Find the value of sin x and cos y°. What…

A: We can find the answers as below using the given triangle.

Q: x = [?] 2x + 9 8x + 1

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Q: The ratio of the volume of two similar solids is 64:729. If the surface area of the large solid is…

A: This question can be solved using the concept of scale factor.

Q: Find mzk (5x-21⁰° H B (2x+8) K

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Q: The pair of lines defined by the equations 2x - 5y =-3 and 2x + 5y = 4 are parallel to each other.…

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Q: The slope-intercept equation of a line that passes through (0, -6) and (3, 4) is y = x + 6 y=²x-6…

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Q: A circle as an equation of x²+y²+2ky=0. Find the value of K when the length of the tangent from…

A: Equation of the circle :      x-h2 + y-k2 =r2 ; where , (h,k) is the center and 'r' is the radius.

Q: 1. Find the surface area of the cone z = √x² + y² that lies between the plane y = x and the cylinder…

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Q: A propane tank is cylindrical and is 18 feet long with a radius of 4 feet. What is the total volume…

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Q: In triangle ABC, a = 13, b = 12, and C = 134°. Find c. O 23 O 22 O 32 O 33 O Other:

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Q: * #7 Find the volume of the figure below. (Hint: you are already given the area of the base....) -11…

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Q: In the form y - y₁=m(x-x₁), find the equation of the line that is the perpendicular- bisector of the…

A: The detailed solution is given below. Thank you

Q: A rectangular prism has a base area of 17 and height of 6. What is the volume of the prism?

A: Here we have given that base area of a prism is 17sq units. And the height of a prism is 6 units. As…

Q: -Solve the following differential equations: 1) dy + 2 = =x² dx x (Integrating factor).

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Q: -. List two differences between a square and a rectangle.

A: First difference  In a square all sides are of equal lengthIn a rectangle opposite sides are of…

Q: grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the silo…

A: Given query is to find the volume of the silo.

Q: Two angles of a quadrilateral measure 256° and 86°. The other two angles are in a ratio of 4:5. What…

A: We have to solve above question and find other two angels of quadrilateral

Q: Determine the lateral surface area of a truncated circular cylinder whose longest and shortest…

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Q: Here are four straight-line equations. 4x - y = 5 → (1) 2x + 5y = 9 → (2) (3) -4x-8y = 3 10x - 4y =…

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Q: 2) 24 15 24 10 16

A: Scale factor from small to big figure is defined as the ratio of corresponding lengths of big figure…

Q: 10. Compute the volume and surface area of a right regular octagonal pyramid for which the side of…

A: This is a problem related to geometry part of the mathematics. based on the general formula we will…

Q: Use the rules for working with measurements to give your answer to the appropriate accuracy and/or…

A: Given data÷

Q: Let f(x) = x² + 2x − 1 and g(x) = 2x − 4. Find 3f (x) - 2g(x). 2x²2x14 Option 1

A: Solving

Q: The pair of lines defined by the equations y=x-11 and y=- x-11 are parallel to each other.…

A: We can solve this problem as follows:

Q: Find the volume of a pyramid with a square base, where the side length of the base is 4.7\text{…

A: Volume of a pyramid with square base of length a and height h is given by  V= a²h/3 cubic unit

Q: iven a correspondence between two right triangles, prove that if the hypothenuse and one leg of one…

A: Given: The hypothenuse and one leg of one right triangle are congruent to the corresponding parts of…

Q: Given 3 non-collinear points, A, B, and C, describe how to find a point, O, that is equidistant from…

A: As Point O is equidistance from A,B,C.   A circle can be drawn with center O , that will pass from…