Show that quadrilateral RSTV is an isosceles trapezoid. V(a+d e T(e-de R(a. b)

Q: What kind of triangle can be formed when points B(-2,6), E(-2,-3), and T(7,6) are connected…

A: The distance between 2 points (x1,y1),(x2,y2) can be calculated using the distance formula. The…

Q: Try to move the purple points of Parallelogram ABCD so that the midpoints of AC & BD are different.…

A: In a parallelogram the diagonals bisect each other i.e. the midpoints are same point.

Q: On the following coordinate grid, point O is located at the origin and point B has coordinates (2.5,…

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Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

Q: (-3d,0) (- 4a, – 21)

A: Let the coordinates of the point be m,n. Consider the formula for distance (d) between points x1,y1…

Q: Find the values of z and y given that AMNP ATUS. S< (2x-50)° (2x - y) m 13 m 142° - P M 24° and y

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Q: For parallelogram ABCD, find the value of x. A 3x + 20 5 – 12

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Q: What point on the sphere is closest to the plane?

A: The given problem is to find the point on sphere which is closest to the given plane. Given sphere…

Q: Points A, B, C, D, and E are collinear and AC = 16. A B D x +7 2x Зх - 1 2x + 3 6. What is x? 7.…

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Q: Given the following figure, identify the shape along with its properties. F(-1, 3) G(3, 0 E(-4, –1)…

A: To solve the following problem

Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2

Q: True or False: The point H is collinear with both C and E. B D G True False

A: any number of points are called collinear if they all lie on same straight line.

Q: Prove that the midpoint of the hypotenuse of a right triangle is. equidistant from the verticle

A: Instead of T,S,V and M I choose C,A,B and D

Q: ABCD is a rhombus. Find AD. A 5х - 5 B 5y -7у - 10 3x + 9

A: Given data is : ABCD is a rhombus  AB=5x-5CD=3x+9 In rhombus all the sides are equal. Therefore ,…

Q: Determine the exact coordinates of the point C that lies on AB such that: 124 AC 10- a) АВ…

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Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…