Vaughn Pang sketched trapezoid RUIZ on a coordinate plane. RUIZ has vertices located at R(1,4), U(-2,0),I(7,0), and Z(3,4). Which of the following is the perimeter of RUIZ?

Q: Find the Perimeter and area of a trapezoid with vertices at A(2,3), B(6,3), C(0,-1), and D(8,-1).

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Q: Find S. Re z?dz clockwise around the boundary of the square with vertices 0,j, 1 + j,1

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Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0, –1), C(1, 2, 3), and D, then اخترأحد…

A: We have to find Coordinate D, Area of parallelogram and projection of BC onto BA.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, 7,…

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Q: The parallelogram (ABCD) has vertices at A(2, -1, 4), B(1,0,-1), C(1,2,3), and D, then اخترأحد…

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Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Find if the figure is an isosceles trapezoid and find all the 4 slopes.

Q: Find the area of the triangle with vertices P=(1,1,0), Q=(0,2,1) and R=(2,0,0).

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Q: The coordinates of the vertices of AABC are A(0, 0), B(6, 2) and C(2, – 4). What are the coordinates…

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Q: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = <-1, -5, -2> and QR = <3, 5, 1>. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: A square (say C) is formed through the vertices z= 0, z=1, z =1+i and z=i, then evaluate ze dz .

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

Q: Justin sketched trapezoid BALI on a coordinate plane. BALI has vertices located at B(1,4), A(-2,0),…

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Q: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

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Q: The parallelogram (ABCD) has vertices at A(2,-1, 4), B(1,0, -1).C(1,2,3), and D, then

A: Let A(2,-1,4) , B(1,0,-1) , C( 1,2,3) and D(x,y,z) Let AC be one diagonal and BD be another…

Q: find the perimeter of ABC with the given vertices 2. A(-2,3) B(-2,-3) C(3,0)

A: Perimeter of a triangle is the sum of lengths of the three sides. The length of a side is the…

Q: 7) Find x, y, and z in the rhombus below. 12

A: Given: Length of the side of a rhombus is, a=12. One of the angle between a diagonal and a side is…

Q: Find the area of the triangle with vertices P(1, -1, 0), Q(2, 1, -1), and R(-1, 1, 2)

A: Triangle with vertices P1, -1, 0, Q2, 1, -1 & R-1, 1, 2.…

Q: Show that A(-3, 1), B(1, -1), C(4, 1), and D(3, 5) are vertices of a trapezoid.

A: Given vertices are A-3,1, B1,-1, C4,1 and D3,5. To show the vertices are of a trapezoid. Solution:…

Q: The vertices of ZBG are Z(7,9), B(4,5), and G(11,6) a. Find the coordinates of the midpoints P,Q,…

A: Given: Z=(7,9), B=(4,5)    and    G=(11,6)

Q: Find the point E that partitions the directed segment CD in a ratio of 1:5, given the points C(4,-2)…

A: Given that the line segment  CD is cut by a point (x, y) in the ratio 1:5given that points C(x1, y1)…

Q: 2. Show that the points A(2,2,2), B(2,0,1), C(4, 1, – 1) and D(4, 3,0) are coplanar and that they…

A: The solution are next step

Q: Find the area of the trianlge with vertices P(1,0,1), Q(-2,1,3) and R(4,2,5). Show your work. 5.

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Q: Find the perimeter of the triangle with vertices at​ A(0,0), B(−4​,−3​), and C(−5​,0).

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Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

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Q: Find b and c so that y = la? + bx + c has vertex (3, – 6). %3D

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Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0,-1), C(1, 2, 3), and D, then اخترأحد…

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Q: Evaluate ry dr + r'dy, where C is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)

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Q: Find the area of JEN if the coodrinates of the vertices are J(0,3) E(6,0), and N(8,3)

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Q: Evaluate O xy?dx + x5dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A: Answer and explanation is given below...

Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: Find the area of the parallelogram that has u = (1, 3, 0) and v = (−1, 0, 2) as adjacent sides.

A: Now cross product is,

Q: Consider a triangle with vertices X, Y, and Z.

A: Definition used -              Triangle law of vector addition -                  According to…

Q: Evaluate O ry*da + x°dy, where C is the rectangle with vertices (0,0), (1,0), (1,5), and (0,5)

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Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3) C(5, 6), and D(2, 1): (x, y) → (x + 2, y-6) A'L B'…

A: The given coordinates of rhombus is  A-3,-2, B0,3, C5,6, D2,1 The transformation is x,y→x+2,y-6 So…

Q: 3. Find the surface area of the parallelepiped with adjacent edges u = (4, 7, -8), v = (-2, 5, 11),…

A: Solution :18

Q: Part (a) Evaluate 25e dz, where C'is the polygonal path consisting of the line segments from z = Oto…

A: Integration

Q: Consider a rectangular box below A (2,3, 5) 1.2 Find the length of the diagonal of the box…

A: O= (0,0,0) A=(2,3,5)

Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Given: The vertices as W1,4, X1,8, Y-3,9, Z-3,3, To show: WXYZ is a trapezoid, To determine: Whether…

Q: what is the area of ABC with vertices a (4, 1), b (2,-1), and c (-2, -1)?

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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 the vertices of a polygon in counterclockwise order, are ( x1, y1 ) , ( x2, y2 ) , ... , ( xn, yn…

A: Here we use the formula for find the area of the triangle

Q: In rhombus VENU, diagonals N and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter of…

A: We know that the diagonals of a rhombus bisect each other. Given that VN=12, so VS=122=6EU=16, so…

Q: 2. Show that diagonals of quadrilateral CUTE are congruent for C(5,-1), U(9,-1), T(9,0) and E(5,0).…

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Q: In AXYZ, mzY = 48, and mzX < mzY. Write the sides of the triangle (XY, YZ, and XZ) in order from…

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Q: (c) For a simple cubic lattice of side a, show that d? = .

A: Figure of an (hkl) plane at a distance d from another similar parallel plane passing through…

Q: Show that the points E(2, 2, 2), F(2, 0, 1), G(4, 1, -1) and H(4, 3, 0) are coplanar and that they…

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Q: Write an indirect proof. 7. Given: mZ1 + mL2 Prove: AABC is not an isosceles triangle with vertex B.

A: The solution is :

Q: 7. Trapezoid QRST with vertices Q(2, 1), R(2, 5), S(4, 5), and T(8, 1): 90° clockwise R'(__ S' (_ T'…

A: I have taken Q as fixed and rotated with respect to Q

Q: Justin sketched trapezoid BALI on a coordinate plane. BALI has vertices located at B(1,4), A(-2,0),…

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