Which of the following square roots lies between 1 and 2 ? a) √2 b) √4 c) √5 d) √11

Q: What is the Cartesian product of A = {1, 2} and B = {a, b}

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Q: Find the area of the rhombus. 26 in 10 in

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Q: A rectangle can be tessellated. True O False

A: A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there…

Q: 13 15 A 14 AABC is a 13-14-15 triangle in which three congruent circles are each tangent to two…

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Q: Given: BC || AD and AB || CD. Prove: /BCD /BAD. Note: quadrilateralproperties are not pemitted in…

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Q: If the side of the cube is 2 cm , then the surface area of the cube is. O 24 sq. cm. O 48 cubic cm.…

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Q: mZR = m2U = 3. Quadrilateral JKLM has mZJ = 90° and ZK = ZM. mZK = mZL = mZM = Determine whether…

A: Please refer the attached image for complete solution. THANKYOU.

Q: a) Are any two quadrilaterals similar? b) Are any two squares similar?

A: Similar figures are figures with same shape but size may not be necessarily same.

Q: (d) Determine all possible points P that lie on the line passing through B and D, so that the area…

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Q: To construct the square ABCD with the diagonal BD as shown, begin by constructing the…

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Q: Use the midpoint formula to prove quadrilateral ABCD is a parallelogram by showing the diagonals…

A: Midpoint formula: The midpoint of a line segment joining the points (a,b) and (c,d) is, a+c2,b+d2.…

Q: Use the Pythagorean Theorem to find the missi 13 in in. 12 in in. This is a perfect square, so I

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Q: Let ABCD be a convex quadrilateral with AB = 12, BC = 9, CD = 3, ZABC = 90° and ZBAC = ZBDC, and AC…

A: Given that, Apply Pythagoras theorem to find angles.

Q: Prove that if ABCD is the given rectangle, AE is the diameter of a semicircle, and BFGH is a square,…

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Q: Following the proof that sqrt(5) is irrational, show that if 2a =3, then a is irrational

A: Your question is wrong , since if 2a = 3 , then a must be rational number . as in the case of…

Q: Verify that the Legendre polynomise P(x) = (35x³ – 30x² + 3)/8 satisfies the Legendre equation when…

A: In this question there is an error P4(x) =(35x4-30x2+3) /8

Q: Find the length of the segment AB. D B to -10 -12 -9 -7 -6 -5 -4 -3 10 11 12 The length is (Type an…

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Q: 6. DF = 100 5x 10x-50 F

A: We have to determine the value of x

Q: Write a paragraph proof to show that the diagonals of a rectangle are congruent. Given: Rectangle…

A: We have given a rectangle ABCD.  And we know that in a rectangle opposite sides are equal .  We have…

Q: The degree of precision of a quadrature formula whose error term is r) is 1 4 2 3 K O O O

A: 3

Q: 29. In right AABC with right 2C, AB = 17 and BC = Find the length of MN if M and N are the midpoints…

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Q: 63. Prove that the rectangle with the largest possible areagiven a fixed perimeter P is always a…

A: Let the length and breadth  of rectangles be x and y units…

Q: It is a fact, which we can verify by cubing, that the zeros of x'– 2 in Q are a2 = V2+iv3 where 2,…

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Q: Prove by the indirect method: “The length of a diagonal of a square is not equal in length to the…

A: Introduction: There are some basic methods that are used to prove any mathematical statement. These…

Q: Given: ROMP is a square Prove: RM PO

A: Two column proof :                           Use a table to present a logical argument and assigns…

Q: 4. US bisects ZBUL, MZBUS Find mZBUL. = 2x + 10, and mZSUL 3x 18. %3D

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Q: a. Draw any two segments, AC and BD, that bisect each other at O. Whatappears to be true of quad.…

A: a) Consider the obtained quadrilateral ABCD, Where AC and BD bisect each other at O. So the…

Q: Let A and B be congruent nonintersecting cubes, with B a translated copy of A. What is the most…

A: To discuss the maximum and minimum number of faces in the convex hull of two cubes (under the given…

Q: Prove that ABCD is a square if A(1,3), B(2,0), C(5,1) and D(4,4).

A: Consider the graph shown below:

Q: 17. Trapezoid ABCD has AB || CD, BC = Let O be the intersection of the diagonals AC and BD, and let…

A: Given that ABCD is a trapezium with AB¯|| CD¯, BC=CD=43 and AD⊥BD. Also given that O is the…

Q: The product of the sides of the triangle (AB)(BC)(CA) is 51840. If the area of the triangle ABC is…

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Q: Prove that the base of a Saccheri Quadrilateral in absolute geometry has length less than or equal…

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Q: Consider rectangle MNPQ with diagonals MP and NQ. When the answer is not a whole number, leave a…

A: If, ABCD Be a rectangle and a,b be the length and width of the rectangle. Then length of the…

Q: E. Prove that if semicircles are constructed on each of the sides of a right triangle, then the area…

A: In triangle ABC, using pythagorus theorem - c2 = a2+b2            .............(1)Semicircle on…

Q: Prove that ABCD is a square

A: If ABCD  is a square then length of all the sides will be equal, That means. AB=BC=CD=DA.  To find…

Q: Use the given triangles to evaluate the expression csc 45°. If necessary, express the value without…

A: The two right angle triangles are given. The trigonometry function cosecant is defined as  cosec…

Q: Show that if n eZ is a perfect square such that 3 n, then 9|n.

A: We will prove the given statement.

Q: A farmer wants to increase the triangular area he has fenced off for his cattle to graze into a…

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Q: Given: Square ABCS Square EFGS, RAB, REF Prove: A ASR A ESR STATEMENTS REASONS G R.

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Q: a number is a perfect square, write its square root. If a number isn't a perfect square, write "N."…

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Q: In the diagram below, GHLK is a rectangle and MLJK, Prove AHMK AGJL,

A: For the rectangle GHLK, it is given that ML≅JK Also KL≅LK  (Common side), ∠K≅∠L  (Right angle)…

Q: Write a paragraph proof to show that the diagonals of a rectangle are congruent. Given: A Rectangle…

A: We will solve the problem

Q: In Exercises 11 to 18, determine the values of a, b, and e that are needed in order to use the…

A: NOTE- AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESSION SO, I HAVE ANSWERED FIRST THREE FOR…

Q: If AO bisects ZHAL and mHAL = 72°, find MLLAO. MLLAO %3D

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Q: 1. What is the length of a diagonal of rectangle EFGH?

A: Given,            A rectangle EFGH is shown below :

Q: 8. What additional piece is needed to prove ABCD is a square

A: Given, A parallelogram ABCD  with AB = 5  We have to find the additional information required for to…

Q: - AABC is isosceles. If BD is the 1 bisector to base AC and AC = 3x+ 6, find AD. %3D

A: Isosceles triangle: - A triangle with two sides of equal length is termed a triangle. Let's…

Q: Verify that the Legendre polynomise P(x) = (35x³ 30x² + 3)/8 satisfies the Legendre equation when…

A: The Legendre polynomial P4(x) is 1835x4-30x2+3, the highest power of x is 4, not 3 as given in the…

Q: find ely? In J9 =C@nstaut

A: Given, y=z14-3 ln ax2-2  where a= constant   To Evaluate, ∂y2∂x∂z

Q: Make the first sir rows of the triangle for (), for q = 3. %3D

A: We have to make the first six rows of the tringle for nmq for q=3.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.