prove theorem: if a square is inscribed into a right triangle in such a way that one side of the square lies on the hypotenuse then this side is the geometric mean between the two remaining segments of the hypotenuse

Q: Using the parity method. Prove the square of an odd number is odd.

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Q: ∀ (x,y) ∈ ℝ^2 (x and y are real numbers), then | |x| - |y| | ≤ |x - y|

A: Case 1: Suppose x≥0 and y≥0. By definition of modules function, we have x-y=x-y≤x-y. Case 2: Suppose…

Q: Triangle Congruence Proving

A: Given ,  We have to prove triangle congruence

Q: What is 15% of 60? Showing all work.

A: x% of y =xy100

Q: On a number​ line, suppose the coordinate of A is​ 0, and AR=23. What are the possible coordinates…

A: Coordinates of A are 0,0 and R be 23,0

Q: (3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an € R then |a₁ + a₂ + ··· + an| ≤…

A: (3) To prove generalized triangle inequality by principal of mathematical induction. The generalized…

Q: 6. Let a, x, and y be real numbers and let e > 0. Suppose that |x-a| < e and |y-a| < e. Use the…

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Q: (2) Let x,y and z be real numbers. Show that the distance between a real number x and z is the sum…

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Q: BESTY (2) Let x, y and z be real numbers. Show that the distance between a real number x and z is…

A: If x, y and z are real numbers. Prove that the distance between a real number x and z is the sum of…

Q: 9. A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: Hint: Take the checker board and mark the paths in it up to the top of the board. Then sum up the…

Q: 2.) What about the next shape in this pattern? Write a conjecture that describes the pattern. AHALA:

A: We have to find pattern

Q: indirect proof? of that can only use num

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Q: hat has been the 5th Euclidean postulate has a significant role on the discovery of non-Euclidean…

A: Role of the 5th Euclidean postulate has a significant role on the discovery of non-Euclidean…

Q: 3. A piece of sheet metal, 100cm by 50cm, is to be used to make a rectangular box with an open top…

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Q: Proof: Pla fis not contrinuous.

A: Solution by using the definition of continuous function by sequential criterion

Q: A circle having an area of 291.2 m2 is inscribed in a triskaidecagon. Find the area of the…

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Q: It is desired to investigate the number of covid cases seen in the provinces. Find the chi-square…

A: Given information: provinces Covid case Ankara 650 Istanbul 900 Karabuk 100 Izmir 350…

Q: 1. What information should be listed first in a paragraph proof? postulates or theorems that are…

A: Which information should be listed first in a paragraph proof?

Q: Let Q be the quadrilateral with vertices (−2, 3), (1, 4), (3, 0), and (−1, −3). Find the area of Q.

A: Given that, Q be the quadrilateral whose vertices are −2, 3), (1, 4), (3, 0), and (−1, −3). To find:…

Q: Prove Euclid's theorem: If a prime divides a product of two natural numbers, then it divides one of…

A: Euclid’s Theorem: If a prime number a divides the product bc of two integers b and c, then a must…

Q: 4. A natural number n is a perfect square if there exists a natural number m such that n = m².…

A: Given that n∈ℕ is a perfect square.  To prove that n+1 is not a perfect square.  If possible, let us…

Q: Four pairs of identical scissors lie on a table. Scissors 1 is opened 30°, scissors 2 is opened 29°,…

A: Distance between two tips is directly proportional to angle between two blades.   as per above…

Q: 3. When solving a proof for the Side-Splitter Theorem, what postulates are used? Select all that…

A: We have to find out

Q: The Segment Adding Postulate

A: Explanation and solutions is given below....

Q: 1. A party banner contains 21 colourful equilateral triangles. In the middle of the banner is the…

A: Given that, there are 21 colourful equilateral triangles. Also the biggest triangle with base 300 mm…

Q: Proof Pracitce

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Q: 5. Before rock climbing, Fernando, who is 5.5 feet tall, wants to know how high he will climb. He…

A: Given,

Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: Conditions  It can move diagonally  It can not enter in square with x(red)  It can not jump it also…

Q: A NCCBNC then A CB

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Q: CDIS square A ind

A: The question is taken from the square and we have to find the value of the x and y so now we write…

Q: determine the sum of interior angles of and the number of diagonals of a regular polygon whose…

A: Given that, the measure of central angle at 6°, we haven=3606=60sum of interior…

Q: Thàngle Inequality Theorem State if the three numbers can be the meașures of the sides of a…

A: As you have posted multiple questions so according to out guidelines we are solving first question .…

Q: proving card{Q} = card(QU{e,pi,sqrt(2)}) and also if A1,A2,A3 .... is countable, then The infinate…

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Q: B) A typical telephone number in the United States is of the form NXX NXX XXXX, where the Ns are…

A: Given Information - The telephone number in United States is of the form NXX NXX XXXX where N's are…

Q: 1 キ

A:

Q: Are points 3, 4+3j, 6-j vertices (points of a shape) of a right triangle? Check this by using…

A: If lengths of sides of a triangle satisfies Pythagoras theorem.then the triangle is right angled…

Q: 5) In Example 4, suppose you had to show that the median segment BD is also angle bisector How would…

A: It is given that AD=AC and AB= BC Then, in triangle the ABD and BDC have two sides equal and third…

Q: consider point M point M is the largest integer less than 28 what is the value of point m

A: The point M is given as a point which comes before 28 on number line. And M is nearest integer.

Q: 1.In an artistic design by a contractor of the  students' centre in a  university,  four pillars…

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Q: 5. Find the 45th term of the pentagonal numbers {1, 4, 12, ...}. Show how you get your answer here:

A: We know, The nth pentagonal number is given by Pn = n(3n-1)/2   Here P1 = 1(3*1-1)/2 = 1 P2 =…

Q: Draw all the subgraphs of a square

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Q: Proof of the quartic formula

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Q: 2. b = D 13V7

A: Given that the triangle conjecture are 30-60-90. Given one length i.e., 132 then  find the length b.

Q: Proof by negation   Prove that if an even number is not divisible by four, then it is not a perfect…

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Q: 7. Find the length of chord AB.

A: The radius of a circle is 5 units. Join point A to O then the length AO is the radius of a circle…

Q: 1. Use calculus to find the area of the polygon with vertices (1, 1), (4, 0), (7, 1), and (7,2).

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Q: A machine shop produces spindles. The spindles are 16-inch rods used in a variety of equipment. A…

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Q: The geometric mean of two numbers a and b is, by definition, square root(ab). Prove that the length…

A: Draw the figure as shown below.

Q: Use the arithmetic mean-geometric mean inequality to prove: (2)(6)(10)...(4n – 2) < 2" · n", n =…

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Q: Argue about nature of mathematics, what is it, how it is expressed, represented and used

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