Figure 3.25. Exercise 3.2.10: Dart ABCD where AB = BC and AD = CD 10. A dart is a nonconvex quadrilateral with two pairs of congruent adjacent sides. nonconvex quadrilateral ABCD shown in Figure 3.25 is a dart since AB = BC AD = CD. Prove that the lines containing the diagonals of a dart intersect at angles.

Q: Consider the lines y = 2x-3, y = x+ intersect to form a triangle. + 4, and y = x + 3. When graphed,…

A: The graph of  given linear equation will be Shaded region show that triangle formed by the given…

Q: Must three parallel lines be coplanar? Draw a diagram to illustrate your answer.

A: To write: Three parallel lines be coplanar or not and to draw the diagram.

Q: In the diagram below ABC has verticles at A (-7,8) B (7,0) and C (-5,-8) Show that point A is…

A: Given ABC has vertices atA(-7,8)B(7,0)C(-5,-8)Distance between twovertices (x1,y1) &…

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: The points P: (-2,0,0), Q: (0,1,1) and R: (1,2,1) are givena. determine the angle in the triangle…

A: Solution  a) To determine the angle at corner Q in triangle ΔPQR, we can use the dot product…

Q: 4) Three planes form a triangular prism with the equations: y = 0 -√3x + y = 0 x + √3y = 4 a. Find…

A: The angle between the planes is the same of the angle between the normals. If n1 and n2 are two…

Q: 1. Point B is equidistant from points A and 4x Зх + 4 2. Find AB. 3. Find BC.

A: Consider the diagonals of the figure intersect at point O. Then AO=OC and BO=OD. Since, AO, OC, BO…

Q: Consider points A(4, -1, 3), B(3, 1, 8), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

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Q: 4x-2y+2z=4.   (a)  Compute the angle between these planes. (b)  Compute the line of intersection…

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Q: 8. If AB =9x-13 and DC = 6x +11, what would the value of x need to be in order for ABCD to be a…

A: Given that AB=9x-13 and DC=6x+11find x and DC

Q: segment AC is on a coordinate plane with point A (-3,6) and (-3,-4).if the rations AB:AC=2/3, what…

A: The rough figure

Q: Let A(1,3), B(3,1) and C(0, -2) be the vertices of a triangle ABC. Plot the vertices B, C, compute…

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Q: Lines a, b, and c are coplanar, a II b, and a ± c. What can you conclude? explain?

A: Consider the given information as a∥b and a±c

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: In the figure, P(-4,3), Q(-2,-4), R(k,-17/2) and S(1,2) are four points on a rectangular coordinate…

A: The given points are:P=(-4, 3)Q=(-2, -4)R=k, -172S=(1, 2)