1. Which points are in A∪C′A∪C′?  2. Which points are in A∩C′A∩C′?    3. Which points are in (B∪C)′(B∪C)′?  4. Which points are in (B∩C)′(B∩C)′?      5. Which points are in B′∪C′B′∪C′?    6. Which points are in B′∩C′B′∩C′?

Q: You are asked to draw an equiangular rhombus, an equilateral rectangle, and a parallelogram with…

A:

Q: 2. Identify the pairs of congruent angles and corresponding sides. A 13.5 D E 12 9, B 18 F DF DE 3…

A: Pairs of congruent angles and corrosponding sides are

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1,…

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given…

Q: Quadrilateral ABCD is a parallelogram. If consecutive angles are congruent, which statement must be…

A: Given that Quadrilateral ABCD is a parallelogram and consecutive angles are same

Q: 3. Show that if A = 3a, + 2ay – az, B = 4ax – 8a, – 4a, and C = 7ax – 6ay – 5a,, then A, B and C…

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Q: Which conclusion does the diagram support? C B A O A. А. AF = CD B. BE = CD %3D С. AB FE %3D ВС ED…

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Q: Answer the following questions. 1. If complementary angles has the sum of 90°, what is the sum of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the first sentence of an indirect proof of the statement shown? 2. AABC is equilateral. 4. a…

A: In indirect proof of statement, 1st step is to write negation of given statement and with all the…

Q: Based on the diagram shown, which of the following statements is true? F 17 15 38 14 26 O AC is…

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Q: The following quadrilateral is a parallelogram. Find the value of u and v 66° O A. U = 132 degrees.…

A: We have to find

Q: 1. Which points are in A∪C′?  2. Which points are in (B∪C)′?      3. Which points are in (B∩C)′?

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question

Q: 1. If x, x + 3, and y are the lengths of the sides of a triangle, then 2 < y< _?_.

A: The triangle inequality theorem says that the sum of lengths any two sides of triangle is always…

Q: Given the point AB and CD that pass through the points A(3,-5), B(2,-1), C(0,3) and D(1,7). Is this…

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Q: Find the perimeter of a quadrilateral with vertices at C (-2, 1), D (2, 4), E (5, 0), and F (1, -3).…

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Q: If two figures are similar, can you conclude that corresponding angles are congruent? Why or why…

A: We will find which option is correct as following.

Q: Given ABC with coordinates A(3,-2,3), B(1,1,2) and C(4,0,0). The measure of angle ABC is .... *…

A: Find out the measure of angle ABC

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD. Let M and N be the midpoints of DA and BC,…

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Q: 4 a QVn TS = ? b WP n VR = _? ? %3D %3D c WP U VR = W d SQ U SŘ = e How many angles have vertex Q?…

A: We have to find the intersections of the line segments and the number of angles on vertex Q

Q: Which statement is false? A parallelogram is a rhombus if its diagonals are congruent. O A…

A: For a parallelogram to be a rhombus, all the sides of parallelogram should be equal. Whereas,for a…

Q: A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three…

A: As per bartleby guidelines only 1 question is answered, please upload the rest separately. It is…

Q: Drag the postulate or theorem that proves the triangles are congruent. b. AOKR e AAHR C. AZWX EAYXW…

A: Solution of all three parts are given .

Q: Which theorem justifies this method of construction? A If two lines in a plane are cut by a…

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Q: 6. Classify the following quadrilaterals (use the most specific name). a) b) c) 94° noltemmoini…

A: Given,  The quadrilaterals in (a), (b) and (c).  We have to classify the quadrilaterals

Q: Let a = C(7, 4), b = C(7, 5), c = C(7, 6), and d = C(7, 7). If there are 7 points on the plane, no…

A: Solution

Q: this definition, which statement must also be true? A. All parallelograms are rectangles. 3. All…

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Q: Which of the car wheel rim designs is(are) dihedral(s)? II II IV a. I, II, and II O b. II and IV O…

A: Dihedral group is a group of symmetries including rotational symmetries and reflections. Note that…

Q: Which of the following best describes the construction? B

A:

Q: If V is the midpoint of UW and TX, which of the statements is true? W

A: Given : V is midpoint of UW⏜ and TX⏜.

Q: State the postulate or theorem you can use to prove that two triangles aresimilar.

A: We know that, By SSS (Side-Side-Side) similarity theorem states that, "If the lengths of the…

Q: y D(0, b)| E(?, ?) b units

A: The rectangle has points C(0,0), D(0,b), F(a,0)we have to find the coordinate point of E

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

A:

Q: Given the points O(0,0), A (-15, -9), and B(12,-20), are re OA and OBbperpendicular?

A: Given, O(0,0) , A(-15,-9) and B(12,-20)

Q: According to the information provided in the diagram below, which statement is true? a. a || b only…

A: To determine the statement which is true according to the information provided in the diagram.…

Q: Which statement is true about every exterior angle of any quadrilateral inscribed in a circle? The…

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Q: 7. If angles J and K are supplementary and adjacent, which statement about the two ar 2J and ZK form…

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Q: Given the similarity statement AHIJ ~ AWXY, which side corresponds with IH ? A) ĪJ B) XY O C) XW D)…

A: We will solve the following

Q: what's the perimeter of the quadrilateral with the coordinate planes of J(-2,3), K(3,7), L(6,5),…

A: .

Q: If ANAP AMUG, determine which of parts (a) through (c), if any, are necessarily true. Explain why.…

A: (a) Yes  (b) No  (c) No.   The detailed solution is as follows 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: Which statement would not prove that ABDC is a parallelogram?

A: Properties of parallelogram is as below : Two opposite are parallel and congruent. Opposite angles…

Q: Calculate, with reasons, the sizes of the angles x and y in each of the following diagrams: 2.1 A…

A: Given: according to given data figure ABCD is parallelogram we know that in parallelogram opposite…

Q: If M is the midpoint of AB and AM = 12. then AB = _?_.

A: Given: M is the midpoint of AB.

Q: Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. A E D B G. C…

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Q: LisT THE 9 PROPERTIES OF A RHOMBUS. Som 7'cot 60 Sem 36 30% 30 30° キ6

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Q: If AABC is an isosceles triangle, which statement explains whether there is enough information to…

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Q: 2. 45 13 If r || s, m (8x-3), and m27 = (15x - 1), find each angle measure. %3D m21 = m25 = %3D %3D…

A: Parallel line

Q: 1. List the pairs of congruent angles and the extended proportion that relates the corresponding…

A: If a polygon is similar to other polygons, then their corresponding angles are equal and the ratio…

Q: Consider the following pentagon. Which of the following is false? B A u E V O A. BD = w + v AB = u –…

A: As mentioned in question : If  line goes to the direction the we will take positive (+ )sign and if…

Q: A B U. D T

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.