12 Consider the two triangles in the image shown below. James says the triangles are congruent by AAS. Which single additional assumption is needed to support his claim? A There is no single assumption to support James's claim. The triangles are not congruent. B Vertical angles are congruent. C The measures of the interior angles of a triangle sum to 180°. The centroid of a triangle divides each median into two parts, from vertex to centroid and centroid to midpoint, in a ratio of 2: 1.

Q: C. Name two angles that are supplements of zT Q O ZS and LT O LS and Q O ZRand zQ OZR and 2S

A: Suppliments means the sum of two angles should be 180°. When a line cuts the two parallel lines than…

Q: 9. Given an infinite collection An, n=1,2,... of intervals of the real line, their intersection is…

A: Let An : = [ n ,∞)  where  n = 1,2, 3 .....  . So { An } n∈ℕ is an example of infinite collection…

Q: The area of the triangle with vertices (1,1), (8, 7), (8, 1) is Select one: O a. 21 O b. 20 O c. 42…

A: The area of a triangle with vertices x1, y1, x2, y2 and x3, y3 is calculated by the following…

Q: 1. Consider a triangle with side lengths as given below. Determine in each case whether or not the…

A: To Determine whether given triangle are right angled.

Q: 3x° Vx² + 2 d

A: Given that a integration of :3x5(4√x2 +2) we solve this integration by using general formulas of…

Q: Directions: Answer each question based on the layout of a 16ft by 12ft room below. Round all your…

A: Find your answer below

Q: Which of the car wheel rim designs is(are) dihedral(s)? II II IV a. I, II, and II O b. II and IV O…

A: Dihedral group is a group of symmetries including rotational symmetries and reflections. Note that…

Q: II. Evaluate the following. 7 Σ k 1. k=0 8 8 2. E (-1)* C) k k=0 10 10 3. E k k k=1

A:

Q: m. Coprne Copman A If, in the figure above, CD = 1, AB = 2, and AD = 6, then BC = %3D (A) 5 (C) 2 +…

A:

Q: ABC is a triangle. BF, CG are any two lines drawn from the extremities of the base BC to meet AC and…

A:

Q: Find the angles 1, 0, B, and the length of diagonal BD for the parallelogram. A 25° 4 ft D 21 ft

A: (3)   Ab|| CD ,   θ and ∠ABC are the adjacent angles θ +∠ABC = 180°⇒θ +25° = 180°⇒θ = 180°-25°⇒θ =…

Q: 4. Consider the following figure: A(1,1,0) D В-1,-1,-1) C(2,2,0) a) Find the coordinate of D if…

A:

Q: ABC is a right-angled triangle at A. Show that, if AD is the per- pendicular from A to the…

A:

Q: O 3. How does the converse of the Hinge Theorem differ from the Hinge Theorem in terms of the sides…

A:

Q: Triangle ABC is a right triangle and CD 1 AB. Assume CA = a, CB = b, AD =x, DB = y, and AB = c =x+y.…

A: We have, ∠C=90° because any point on semicircle creates right angle. In this diagram we have three…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.