Show that if n eZ is a perfect square such that 3 n, then 9|n.
Q: The triangle that has vertices at M(-4, 0), N(3, – 1), and Q(2, 4) has been boxed in as shown. Find…
A: Given the vertices of triangle M(-4,0) , N(3,-1) and Q(2,4). We need to find the area of the…
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Q: In Exercises 35 and 36, use Theorem 2.5.1 to solve the prob- lem. According to this theorem, the…
A: Definition used - Number of diagonals - D= n(n-3)2…
Q: AB is a 1 bisector of CD.
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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: II. Prove the following using Direct Proof. . If x and y are perfect squares, then xy is also a…
A: In mathematics and logic, a Direct Proof is a way of showing the truth or falsehood of a given…
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.
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Q: 26. Write a two-column proof. Given: ABCD and AFGH are parallelograms. Prove: ZC = ZG A'
A: if two lines are parallel then crossponding angles are equal
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: Find the area of the polygon with the given vertices. N(- 2, 1), P(3, 1), Q(3, – 1), R( – 2, - 1)
A: Given points are: N(-2,1), P(3,1), Q(3,-1) and R(-2,-1). The objective is to find the area of a…
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Q: Find the values of a, b, c, d, e, f, g and h such that ax, S(x) = { 6(x – 2)³ + c(x – 2)² + d(x – 2)…
A: GivenS(x)=ax3,0≤x≤2b(x-2)3+c(x-2)2+d(x-2)+e,2≤x≤3f(x-3)3+g(x-3)+h,3≤x≤4such that S(x) is a natural…
Q: The diagonals of square MNOPMNOP intersect at Z.Z. If MZ=2x+6MZ=2x+6 and NP=6x-10,NP=6x−10, find…
A: Geometry question
Q: Given ABCD is a square and PA = PB = PC, prove that AAPB ABPC. D A
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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: If a figure is not a rectangle, then its area cannot be found. O True O False
A: NOTE: Refresh your page if you can't see any equations. . the given statement is if a figure is not…
Q: 2. Find the (infinity norm) condition number of 2.01 1 (b) A = 3 6.
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Q: If Do, D1,..., Dn... nEN, are dense open sets of reals, then the intersection D = 0 Dn is dense in…
A: Condition: Dn is the open dense sets of reals, for all n∈ℕ. To find: Intersection of infinite open…
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A: given; ∠A=∠B=∠C=∠D=π2
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Q: Which is the possible length of the base of a parallelogram if the area is given by
A: Given: Area of Parallelogram=20x5-23x4-41x3+35x2+40x-70Height of Parallelogram=4x-7 To Find: Length…
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: Show that if n e Z is a perfect square such that 3|n, then 9|n.
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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: 2. Show that if x and y are perfect squares (that is, x = m? and y = n2, where m and n are…
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Q: a third degree polyn omial has a lone laš à lóné -intercept at x-a,discuss what this implie bout the…
A: The Polynomial P(x) of 3 rd degree Which has a lone x intercept at 'a' will look like, P(x)=(x-a)…
Q: Give the converse of "If all figures are four-sided planes, then figures are rectangles.” If…
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Q: and such that the sum of their squares is as small as possible. Give the sum of the squares.
A: Given problem:- 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such…
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: Right AABC with mZC = 90° and 60°; point D on BC; AD 2V3 Given: MZBAC bisects ZBAC and AC : Find: BD
A: The triangle is,
Q: 5. Find the area of the section ABCD as shown in the figure if A, B, C, and D are one-third from the…
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Q: Find the area of the triangle whose vertices are given below. А(0,0) В(-2,5) C(5,3)
A: If given vertices areAx1,y1 , Bx2,y2 , Cx3,y3Then the area of the traingle is given by…
Q: Prove that the area of a square whose diagonal has length d is A = A = 1/2d². A square with a…
A: A square has diagonal length of d, we have to find its area.
Q: 共9. L is a Uxb matrx, so the rank of Lis at most: Al I B) 2 c) 3 D)4 E) one
A: L is a 4×6 matrix.
Q: 18. Determine the area of the quadrilateral whose vertices are (-10, -10), (4, -24), (10, 10) and…
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Q: 7. In quadrilateral FGHJ, FH and GJ bisect each other and FH = GJ. FG JH FJ GH What additional…
A: FH and GJ are bisector of each other.
Q: Give another name for Plane N. * D
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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: 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: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of…
A: Area of semi circle having diameter of a is, Aa=πa222Aa=πa28 ...(1) Area of semi circle…
Q: 2. In OABCD, ZA = x, ZB = 2x +60. ZD = Draw a sketch to help you.
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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: A trapezoid is reduced in size by multiplying each of its dimensions by 12. Based on this…
A: Topic- perimeter of trapezoidal
Q: The vertices of quadrilateral PQRS form a square P(0, 0), Q(4, 3), R(7, -1) and S(3, -4). Use…
A: locating the points on the graph we get
Q: r = √3 − 2cos θ.
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Q: Find the area of the polygon with vertices P(-5, 4), Q(2, 4), and S(1, –1). 61 -6 -5-4-3 -31 -4 -5…
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Q: II. C Given Square ABCD and EDC - ZECD, prove A ABE is equilateral. B.
A:
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