Every triangle has a balancing point, called the centroid. O True O False

Q: Find the angle between a diagonal of a cube and an ad­jacent edge.

A: Let the side of the cube is of length s. Let us take the side of thr cube to be vector<s,0,0>…

Q: Calculate the area of the given quadrilateral starting at A and going counter - clockwise using the…

A: Use the formula and substitute the values then simplify.

Q: The segment addition postulate states that ifA, B, and C are collinear with B between A and C, then…

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Q: Use drawings as needed to answer the given question

A: (a) In Euclidean geometry, if two or more than two points lie on a line close to or far from each…

Q: Find a such that the points A(1, 5), B(4, 7), and C(a, a) are collinear. a =

A: Solved below

Q: In AAEC, G is the centroid. 9, C If EG = 6, find GB. O 2 оз о 6 9 B. E. %23

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Q: If UV bisects XY at point W, which statements must be true? Select all the true statements. (A UW E…

A: Given that U̅̅V̅̅  bisects X̅̅Y̅̅at point W U̅̅V̅̅ bisects X̅̅Y̅̅ means U̅̅V̅̅ divide line XY in two…

Q: Given: G is the centroid of isosceles triangle AEC, where angle A and angle C are equal and AB = 6…

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Q: find the centroids of the triangleswhose vertices appear . Assume a, b > 0. (0, 0), (a, 0), (a /…

A: Given that vertices= (0, 0), (a, 0), (a / 2, b)

Q: The ligure shows AACEwith centroid G C D G A F ILBG 8 what the longth

A: Given ∆ACE having a centroid G

Q: SNOW is a square, and the diagonals intersect at A. ZSON = degrees

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Q: Label the following statement as either true or false. The regular hexagon possesses both rotational…

A: To find: The regular hexagon possesses both rotational and reflective symmetry…

Q: (a) Let M = R. Give the radius r and the center c of B(-2,5) n B(6, 7). ne

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: distance from vertex A to the centroid?

A: Answer: Given, ADis a median.andBC=1Q units15In A ADB,AB²= AD²+DB²GuseDB:BCDB2 २DB 102 2CADIS(…

Q: If M is the centroid of AGHI, HL = 45, JI = 63, and KG = 60, find each measure. H K M/ L

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Q: # 20. Let ADEF be the medial triangle with respect to AABC, and let O be the circumcenter for AABC.…

A: Given ∆DEF is the Medial of the ∆ABC and Ois the circumcenter of the ∆ABC.

Q: 44. Use the cross product to find the area of the triangle with vertices P = (1, 1, 5), Q = (3, 4,…

A: If triangle T spanned by two non zero vectors u, v Then the area of the triangle is given by…

Q: Which of the following figure does NOT exhibit radial symmetry? * Hourglass Citrus (cut into round…

A: Radial Symmetry: the condition of having similar parts regularly arranged around a central axis is…

Q: In the triangle below, O is the centroid. Find the length of median XP. 3x 2x-7 Y XP

A: Given, OP = 2x - 7 OX = 3x  So, According to the figure XP = OX + OP      = 3x + 2x - 7       = 5x -…

Q: Use the figure to answer the following questions by YES or NO.  1. Are A, D, and E collinear? 2.…

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Q: Given: G is the centroid of isosceles triangle AEC. AB = 6 and AF = 5. Find the perimeter. A B

A: According to given figure if G is centroid then EB, AD and FC will be medians of the triangle  So,…

Q: Which sequence of rigid motions will definitely work to take triangle GHJ U H. Rotate GHJ using…

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Q: If G is the centroid of triangle ABC and AG= 16. Find the length of AD. B D. 8. 12 O 24 32

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

Q: Given: G is the centroid of AAEC, EB I AC, AB = 6, AF = 5, EG = 5÷, %3D and AE = CE. EB = E. А 2 В 8…

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Q: If D is the centroid of APQR, PA = 17, BD = 9, and DQ = 14, find each measure. В A D R

A: Concept  :  Centroid is the point of intersection of medians .Centroid divides the median in the…

Q: 3. If point P is the centroid of AMNO, which statements can be deduced? Select all that apply. M R S…

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Q: If M is the centroid of ABC, AM=44, CE=54 and DM=23 find each missing measurement.

A: The given figure is

Q: Review 10. For the given triangle, C is the centroid of median AB. If AC = x + 1 and CB = 5x - 13,…

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Q: In triangleRST, the medians are RM, SN, and TP. If RM = 9, SN = 12, and TP = 16, find the distance…

A: median of the triangle

Q: The corners of a quadrilateral are (4, 0), (12, 4), (10, 8), and (4, 4). How far is its centroid…

A: Given data is: The corner points of a quadrilateral are 4,0, 12,4, 10,8, and 4,4 To find how far is…

Q: Part 1 of 3 Complete the proof. Given: RS UT, RT US Prove: ARST AUTS M W V ..... Statements Reasons…

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Q: HJKL is an isosceles trapezoid with bases HJ and LK, and median RS. Find RS, if RS = 1 + 12 and HJ +…

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Q: Given: AADE is the dilation image of AABC, and BC = 4, AB = 3, and DE = 12. %3D 45. The center is

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Q: E 丰 丰 A F

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

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Q: M is the midpoint of AB. If A (4, 0) and M(2, 1), then find the coordinates of O (6, 1) O (3, 0.5) O…

A: Given that M is the midpoint of AB¯.Also, A(4,0) and M(2,1)Our Aim is to find the coordinates of B=?

Q: Let C be the projection of A onto B and D be the projection of B onto A. If the dot product of ac…

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Q: Which of the following tessellates the plane? (Circle all that apply.)

A: We have to find out from the given figure which is tessellates the plane.

Q: Every polyhedron can be unfolded into a two-dimensional flat surface. O True O False

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Q: Let D be the unit disc x^2+y^2≤25. Evaluate  ∬Dex^2+y^2dA=

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Q: Please answer the question in the attached image about 3D trigonometry

A: G is on the YZ plane Coordinate of G is (0,5,6)

Q: find the centroids of the triangleswhose vertices appear . Assume a, b > 0. (-1, 0), (1, 0), (0,…

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Q: If M is the midpoint of AB. then ____ =____

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Q: The volume of an isometric drawing can be found by counting the number of blocks in the drawing. O…

A: Given: isometric drawing in geometry

Q: Which shape will not tessellate on its own? A C D O shape A shape B shape C O shape D

A: Only regular polygons are tessellate. In this question, (a), (c), (d) are the regular polygons but…

Q: Given: G is the centroid of AAEC, EBL AC, AB= 6, AF = 5, EG = 5, and AE = CE. EB B

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Q: Given u = ⟨5, 1⟩ and v = ⟨11, −3⟩, what is the magnitude of the projection of u onto v? Round your…

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Q: In the triangle below, O is the centroid. Find the length of median XP. 3x 2x-7 XP

A: Given, Where, O is the centroid. XO=3xOP=2x-7

Q: Draw AABC and label the midpoints of AB, AC, and BC as X, Y, and Z. respectively. Let P be the…

A: We shall draw the triangle, along with all other lines in order to visualise the problem better…