3. Line ZW is parallel to line XY and line CD intersects both lines. 154° -Y X 3 4. Based on the information in the diagram, what are the measures of Z1 and 2 ?

Q: In the following diagram, HI is parallel to JK. What is the measure of Zx? Angles are not…

A: Given: HI∥JK ∠AHI=56∘∠IAH=66∘∠AKJ=x∘ The objective is to find ∠x.

Q: Suppose we have v1 |1,1,0)7". v2 = [1,0,1|", what is the angle between v1 and v2? Your answer should…

A:

Q: Find the valves of X and in this parallelogram. S+ズカ 13 17 a Sohe for x. b) Sie for y

A: Since opposite sides of a parallelogram are equal, therefore

Q: 60. If AC = 18, BE = 13, DE = 3 and D is the midpoint of CE, what is AB? %3D %3D А В A C E A. 10 В.…

A: Given: AC=18, BE=13, DE=3 and D is mid point of CE Now, if D is midpoint of CE then CE=2DE=23=6

Q: Consider the following. (6, -4), v = (3, 4) (a) Find u v. U V = (b) Find the angle between u and v…

A: a) Answer(a): 2

Q: 1. Determine the missing angles to the nearest degree a. ZM = 41° and ZN = 74° b. ZM = 42° and ZN =…

A:

Q: c) ABCD is a rectangle with AD =12 cm and CD = 20 cm as shown in Figure 1. The line segment DE is…

A: We know that, rectangle has every angle is 90°So, in triangle ∆ADE∠DAE = 90° so ∆ADE is Right…

Q: In the diagram below, KW is parallel to NO. What additional information is needed to prove that AKNO…

A:

Q: # 3. If the distance between (a, ab) and (ab + a, ab + b) is 26 (b + 0), then what is the value(s)…

A: →Distance formula:   Let P(x1,y1) and Qx2,y2 be two points. Then distance between point P and Q is…

Q: -10- The figure shows a circle. The MZRPQ = 50° and MZPRQ = 60°. %3D 60 50 P What is m PR?

A:

Q: 4. Find the measure of the angle between u = 6i - 3j and v = 2i + j to the nearest tenth of a…

A:

Q: Refer to AMNO to answer item 18-20. 18. In right triangle MNO, right angle at N. If mZ0= 30 and MO =…

A:

Q: The diagram shows triangle QRS with side SR on ray ST. (5y)° 114° S R Part A What is the measure of…

A:

Q: In the triangle below, with right angle z V, suppose that m Z W= (4x+ 1)° and m ZX= (3x+5)°. Find…

A: We are solving the first question and for the next question post the question again and also mention…

Q: Find the coordinate of point X such that the ratio of MX to XJ is 3:1. 4. Find the coordinate of…

A:

Q: In the diagram below of triangle GHJ,K is a midpoint of GH and L is a midpoint of H J. If KL = 7x –…

A: Given : K is the midpoint of GH and  L is the midpoint of HJ. KL = 7x-28GJ = 34-x

Q: The following diagram shows two secants, AC and CE. D. 1. What is the external segment of secant AC?…

A: Since you have posted multiple subparts we solve first three subparts for you  To get the solution…

Q: Suppose we have v₁ = [1, 1, 0]ª, v₂ = [1, 0, 1], what is the angle between V₁ and V₂? Your answer…

A:

Q: 13. In circle O, line segment OA is perpendicular to line segment BC at D. If OA = 5 and BC = 8,…

A: Theorem If diameter/radius perpendicular to chord of circle then bisects the chord

Q: b. TT Calculate the angle between A and x-axis at P(3, 3'21

A: Consider the equation

Q: Given v = 2i -j and w = 3i + 8j, find the angle between v and w. What is the angle between v and w?

A:

Q: 9. 13D 10. If OM = 12, what is G F I C. J D E 1. Name four radii of circle C. 2. Name a diameter of…

A:

Q: Given mCED - 240°, determine the measure of the angle ZDBC. (You may assume that point A is the…

A: Central Angle and Arc Relationship : The measure of a central angle and the arc it intercepts are…

Q: Find the angle between u=⟨4​,−1⟩ and v=⟨5​,−4⟩ to the nearest tenth of a degree

A:

Q: 2. Given the figure, which refers to the line of sight? A. GI C. TR В. СR D. GO 3. In the figure on…

A: The line which is drawn from the eyes of the observer to the point being viewed on the object is…

Q: A wall extending east and west is 8 ft. high. The sun has an inclination of 49° 30' and is 47° 15'…

A: In Fig-1, let BC = 8 ft  be the height of the wall and let AC be the width of the shadow of the wall…

Q: 6. Outside the Circle (2) 40° B \60° a. Find ZA. A b. If point A were closer to the circle, making…

A: Given query is to find the measure of angle A.

Q: If å = (2,2,2), b = 2 and tan 0 = v3,(where 0 is the angle %3D %3D %3D between a and b) then the…

A:

Q: The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU…

A:

Q: The acute angle (in degrees) between the two straight lines y = 3x + 2 and y = 4x + 7 is closest to…

A: Given:- Two straight lines y = 3x + 2 and y = 4x + 7 Find the acute angle (in degrees) between the…

Q: If y/z= 0.7,  what is the measure of alpha to the nearest degree?

A: Given Data: The ratio of y to z is: y/z=0.7 The given triangles area right angle triangles and a…

Q: Line p is tangent to ⊙C at A, and line q passes through C. Lines p and q intersect at B. If…

A: Given that-  There is a Circle having center c. Line p in tangent to circle which touches it point…

Q: In a 2-dimensional space, the line element is given by: ds2 = de2 + sin²ed¢2 determine the angle/s…

A: In a 2-dimensional space, the line element is give by ds2=dθ2+sin2θ dϕ2 To find the angle of θ, if…

Q: 11. Find the measure of the angle between u = (-2,-2, 1) and v= (-3, 4, 0) to the nearest tenth of a…

A: Q.11 asked and answered.

Q: 4. Use the figure at right to answer the following: Name three collinear points. a. b. C. d. Name…

A:

Q: 5) A bug starts at Point A, crawls 10cm east, then 7cm south, Scm west, and 6cm north to point B.…

A:

Q: A surveyor measures the angle of elevation of the top of a perpendicular building is 19°. He moves…

A: Given:            Angle of elevation α =19°            Angle of elevation θ =47°…

Q: For what values of k, would the following two planes make an angle of 60° Myi X dy tKz = 6 and Ñ e'…

A:

Q: 8. Which of the following best describes Figure 4? Figure 4 A. ji is parallel to ray point E. B. JU…

A: As per guidelines we can answer only one question at a time so we can answer only question no. 8 for…

Q: Determine the parts that describes the following: 1) Segment KG 2) Line FH 3) Segment KH 4) Point E…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the resultant and angle of direction based on the horizontal. using tail to tip method 1. 24…

A: We have to find resultant and angle.

Q: In the figure shown, DE = 3 and EC = 9 .BE is perpendicular to AC, but not to DC. If m and 2m…

A:

Q: Find the value(s) of a making i = 7ai – 33 parallel to w = a²i +63. -

A:

Q: The local town is planning to build a highway that will intersect the borders of the field at points…

A:

Q: If EF is perpendicular to AB, then what are the measures of ZCGF and ZBHE?

A: Given,           EF¯ is perpendicular to AB¯.

Q: Consider the two following lines in R?. y = 2x – 5 and (a) Find the point where those two lines…

A:

Q: Consider the diagram below of a triangle, with markings as shown. y + 6 10 2Y. х — 1 %23 %23 Use the…

A: To find the value of x, y, and z

Q: B 15 Using the figure above and the fact that line l is parallel to segment AC, prove that the sum…

A:

Q: - On parallelogram STUV below, if S is located at (-4, 1) and T is located at (5, 3), what is the…

A: Given : STUV is a parallelogram S = -4,1T = 5,3

Q: - Question 19 Miguel began deriving the equation of line CF below by defining the lengths of line…

A: Given that two triangle ∆ABC and ∆DEF are similar triangle . By using results of similar triangle we…

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.