a) Find an equation of the sphere that is inscribed in the cube that is centered at the point (-7, 3, 9) and has sides of length 11 that are parallel to the coordinate planes. Equation:

Q: - The cuboid (right) has one of its corners removed to leave a flat triangle BDC. Calculate: a…

A: We draw lines as shown in the figure below Here lines XC and HG are parallel and equal. So XC = 5…

Q: An ice cream cone consisting of a semicircle on top of an equilateral triangle of side 6 (Figure)

A: To find the area of the shaded region add the area of the equilateral triangle and the area of the…

Q: Find the coordinates of the midpoint of side VT in the quadrilateral below.

A:

Q: determine the type of the quadric surface. + 22? = 1

A: Given, x32-y42+2z2=1 or x32-y42+2z2=1x32-y42+z122=1x232-y242+z2122=1

Q: 3. A triangular lot has dimensions 20 m, 31 m, and 38 m. Find the angles at the corners of the…

A: Given: Jackie and Peter skate apart 15 degrees. Jackie skates for 5 meters and Peter skates for 7…

Q: 1. 2. 3. 4.

A: according to our terms and condition, i have solved starting 4 questions for next question repost…

Q: Identify the shape as specifically as possible based on the description below: A quadrilateral…

A: Two sides are congruent means that the two sides are of equal length.

Q: Point D is the incenter of triangle AABC, where mZABC MZBCD = 2 · MZBAD. Determine m2ADB, MZADC, and…

A: Given, D is the incenter  of triangle ∆ABC Where    m∠ABC = 60°     and  m∠BCD = 2.m∠BAD   We have…

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

A:

Q: 6. The origin was used as the center of dilation to dilate quadrilateral A BC Das shown below. 14

A:

Q: II. Use coordinate geometry to prove that the diagonals of a rectangle. congruent. are

A:

Q: (b) Prove that the perpendicular bisector of a chord of a circle passes through the centre.

A:

Q: Consider the regular hexagon shown on the coordinate plane. (-2. 3.5) (2.3.5) (4,0) (4. 0) (-2,-3.5)…

A:

Q: Find the values of x and y that make the quadrilateral a parallelogram.

A: Given,           A quadrilateral ABCD is a parallelogram is shown below :

Q: A circle touches all sides of a parallelogram. So the parallelogram must be a __________. (A)…

A:

Q: Find the perpendicular distance from a vertex to the plane of the opposite face of a tetrahedron…

A: Given that edge of tetrahedron is 10 cm To find :perpendicular distance from a vertex to the plane…

Q: Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments…

A: Given ABCD is a quadrilateral

Q: iven

A: Given △ABC Let X be any point in the plane so that AX, BX, CX are cevians of △ABC given to prove…

Q: what is the diameter of the carousel

A:

Q: An unfenced grass land is in the form of right triangle ABC with AB=8m, BC=16m and AC as hypotenuse.…

A:

Q: A baseball diamond is a square, 89.0 ft on a side, with home plate and the three bases as vertices.…

A:

Q: Find the points on the sphere x² + y° + z?=1. that are closest to and farthest from the point (2, 1,…

A: Given, x2+y2+z2=1   ;   point (2,1,2)

Q: Two congruent intersecting circles B and D (not shown) have a line (segment) of centers BD and a…

A: The figure is drawn as shown in the figure with the give conditions.B and D are the centers of two…

Q: Consider the points ?(1, 2, 3), ?(3, 0, 4) and ?(4, − 2, 3).   A. Find area of the triangle created…

A: Using cross product we find the area of triangle

Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

A:

Q: 1.Given a rectangular parallelipiped with dimensions as shown below: Locate the origin at the center…

A: Find your answer below

Q: (2, 3.5)

A: Here, the given function is,

Q: The coordinates at the vertices.A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: Given,  The coordinates of vertices of triangle A-3, 7  B2, 19  C10, 7   We have to find the length…

Q: The coordinates at the vertices A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: If we can find the height of the triangle then area can find out using 12×base×height

Q: 3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?

A: Here in the graph, A=(5,-2)  ,  B=(8,3)   and  c=(3,8) We have to find the coordinates of point D

Q: Suppose quadrilateral ABCD is rotated 180° about the origin. In which quadrant is D'? II I A C B

A: 180 Degree Rotation: When rotating a point 180 degrees counterclockwise about the origin  our point…

Q: Show that the triangle with vertices A(0, 0), B(1, √2), andC(2, 0) is equilateral.

A: An equilateral triangle is a triangle in which all sides are equal, and consequently, all angles are…

Q: Consider a triangle with vertices A(1,0,0), B and C. Assume that • A : 1 • BC is parallel to the…

A: Given: A triangle with vertices A(1, 0, 0), B and C. BC is parallel to the y-axis and ||AB||=3

Q: 2. B C. a. Which pair(s) of planes intersect? b. Which planes intersect in RS ?

A: 2 a.  The pairs A,C and B,C are the intersecting planes. The planes A and C intersect as; The planes…

Q: Prove if AABC has complementary triangle AA'B'C' and centroid G, then the six triangles AGA'C,…

A:

Q: Given: DABCD has vertices A(-1, -3), B(4, 2), C(3, 9), and D(a, b). a. Find the coordinates of the…

A: Given:        Vertices of ABCD         A-1, -3, B4, 2, C3, 9 and Da, b a.  coordinates of the…

Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

A:

Q: In Exercises 23 to 26, find an equation for each sphere. 23. With center (0, 0, 0) and radius length…

A: Concept - General equation of a sphere is given by the formula - x-a2+y-b2+z-c2 = r2…

Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

A:

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Consider AABC and ADEF, both of which lie in the xy- coordinate plane. The pre-image, AABC, is…

A: Congruent triangles are defined when 2 triangles have equal corresponding sides and equal…

Q: A triangle is inscribed in a rectangular hyperbola s to the opposite side. Prove that the trian…

A:

Q: The perpendicular bisectors of triangle ABC meet at point D. Find DB, DC and AE.

A:

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: What is the most precise name for quadrilateral ABCD with vertices A(-2, 4), B(3, 4), C(6, 0), and…

A: We can answer the question as below.

Q: IA quadrilateral ABCD has coordinates A(1, -1), B(3 ed by a factor of 2 using the origin as a center…

A: Introduction: The factor of Scale (Dilation) In the dilation of a mathematical object, the scale…

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

A: First, find the slope using the points Ra,b and Sc,b. mRS=b-bc-a=0 Now, find the slope using the…

Q: In the adjoining figure, point Q is the center of the top face, and R is midpoint of the segment. R…

A:

Q: Prove that an angle inscribed in a semicircle is a rightangle. (Hint: The coordinates of C must…

A: Given: