1. Given that ZA, ZB, ZC, ZD e {angles} such that ZA and ZB are supplementary angles, ZC and ZD are supplementary angles, and LAZD. Prove that C = ZB. Equation/Statement Explanation/Reason

Q: Prove that for any two points A and B, line segment AB = line segment BA

A: To prove that for any two points A and B, line segment AB = line segment BA.

Q: 12. Which line of reflection maps segment AB to segment CD, where the endpoints are A(-4, 2),…

A: We have to find the line of reflection.

Q: 6. V=(2,-3). W=(4, 5) Find (a) 2v-w, ( b) V.W (C) angle between V and W

A: 6. The given data is: V=2,-3, W=4,5 To find the value: a 2V-W

Q: 20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral…

A: Step 1: In order to determine the angle between a=(5,3,0)&b=(−1,0,8) lets use the dot product…

Q: B R X N G

A:

Q: 10) P (-2, 0), Q (10, -14), and R (-4, -2), then determine the distance between each point. Th state…

A: We are asked to find the distance .

Q: Consider the angles in the accompanying figure. Classify the named angles as acute, right, straight,…

A:

Q: Consider the three points: А — (5, 5) A B= (10, 2) C = (7,7). Determine the angle between AB and AC.…

A: Find angle

Q: Find the cosecant (if it exists) of the angle √2 √√2 2 0-√2 O 0-220 √2 0 = 5л 4

A:

Q: What is the angle between 2a + 3y + z = 5 and x – ay + az = 7?

A:

Q: 10 a Are (-6, 5), (1,7), and (15, 10) collinear? Are (74, 20), (50, 16), and (2, 8) collinear? 11…

A:

Q: Prove that if two intersecting lines form one right angle, then they form four right angles.

A:

Q: 33. Sketch the diagram that you would use to find the magnitude of the sum of a and b if the angle…

A: 20. To find the angle between two vectors \(\vec{a}\) and \(\vec{b}\), you can use the formula…

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: 12. If a b = √3 and a × b = (1,2,2), find the angle between a and b.

A:

Q: Let → a = and → b = . Find k so that → a and → b will be orthogonal (form a 90 degree angle). Let…

A:

Q: Which of the following are coterminal angles? OT and - T T and - O 0 and 57 O 5T -5 and 4 - 4. *…

A: We know that two angles are coterminal if they differ by a multiple of 2π.

Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

A:

Q: 5. Which pair of angles are not congruent according to the vertical angles theorem? 1/2 3/4 5/6 7/8…

A: Let's check out the options if they are congruent or not

Q: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

A: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

Q: Ex. 3 Find BF if D is the circumcenter of ABC, AC=9, DE=1.83, and DF=1.53. 41.5²1.83²-CD² 0 1.83 C…

A: Given that in △ABC, AC=9,DE=1.83 and DF=1.53