If v = −3w, then (choose the correct answer):(a) v and w are parallel.(b) v and w point in the same direction.

Q: Which angle is larger, Z1 2?

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Q: What is the degree of f (r, y) = (r + y³)' %3D

A: Given query is to find the degree of function f(x,y).

Q: Find the values of x and y in parallelogram PQRS. PT = y, TR = 2x + 1, QT = 5y, TS = 6x + 13 %3D %3D…

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Q: V and Y are the midpoints of the legs, UW and TX, of trapezoid TUWX. If WX = -3p + 19, VY = 6p + 5,…

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Q: In the following diagram, ARSW - ST = 10b - 5, and SV = 6b + 17. VST. Also, RS = 28, WS = 30, RW =…

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Q: Which formula would you use to determine is the diagonals of a kite is perpendicular?

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Q: Given, y(1) = t²e", 0 < t < 3n Find the value of r(1). -T IT

A: We know that eit = cos(t) + i sin(t) Cos(π) = -1 and sin(π) = 0

Q: The angle of depression from the girl to the car is: 2 4 A) Z1 B) 22 C) 23 D) 24 A O OO 0O B.

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Q: Evaluate and give your answer in rectangular fo 2.7e – 4.3e5

A: In the given question, the complex function is converted into rectangular components. Using…

Q: In the diagram, DE intersects AB and AC and is parallel to BC. B C E А EC ? AE DB How can you prove…

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Q: If WX = -9p + 79, SV = -7p + 87, and TU = -3p + 85, what is the value of p? %3D %3D T. W p =

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Q: In the parallelogram below, if mz1 = mz2% = 60° what is the missing value for x? %3D 2 1 О 60 O 80 O…

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Q: Find a value c for which A = 21-J+ 4k and B = 1+d+Sk will be perpendicular. OAC -12 OBO OCC=-34 O…

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Q: // a?dA where R {(x, y) | 16z² + 36y² < 576} Find

A: first we find limits of integration, than

Q: solve for y in terms of t or x, as appropriate.

A: (a) On solving first equation e3k=27taking ln on both sidelne3k=ln273klne=ln33        lne=13k=3ln3…

Q: *#2.) In the diagram, CB is parallel to DE and mzEDC=(7x)° and mzBCD=(14x-240)°. Determine both…

A: Given,           In the diagram, CB is parallel to DE and ∠EDC=7x° and ∠BCD=14x-240°

Q: Find, from first principles, fa(3, –1) for f(x,y) = 4x²y? + e® .

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Q: Find angle 0 e [0, between the lines = = and y+3 d 22 = 12 y+2 * = 243

A: Given two lines x-54=y+3-1=z+2-2 andx-25=y+2-1=z+33 To find the angle between the two lines We have,…

Q: In the diagram below of rectangle RSTU, diagonals RT and SU intersect at O. If RT = 6x + 4 and SO =…

A: to find the length of US

Q: aluate y ds, C: æ = t², y = t, – 4 <t <0

A: Here is the solution

Q: Find x, and determine if n is parallel to m. Justify- (3x) 139° m (3x + 8) (9x + 7)°

A: Given:

Q: Find the value of z that makes m n. 156° (4x + 12)° Lines m and n are parallel when I = AE

A: The two indicated angles are corresponding angles.

Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: Given the parallelogram, solve for x and y. A x+8)* (+9) B.

A: Given : A parallelogram ABCD. ∠A = y+9°∠D = x+8°∠C = 3x°

Q: Q2 Find the angle IF A= 2i-10j - 1k and ÀxB between them B = 2Á +2j+ k , CẦ xB) A

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Q: What are the foci of(x/a)2+(y/b)2 = 1 if a&lt;b?

A: We have the following given ellipse -  xa2 + yb2 = 1   where a&lt;b

Q: In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x- 1) m. What are the…

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Q: 2) d'Y Find et Y = e + t? et xp

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Q: Set a = i+xj+k and b = 2i−j+yk. Find x and y given that a is perpendicular b and their lengths are…

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Q: Use the similar triangles below to determine how r2 relates to r1, Y1, and y2. y2 Y1 X1 X2 a) 22 =…

A: Please refer the attached image for complete solution.

Q: Find the angle formed by the lines 2x + y- 8 = 0 and x+3y+4 = 0. A. 44° B. 45° C.43° D.46°

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Q: 18. Rectangle, where AC = 14 and BC = 8 %3D A B MZADB = E BD = DA = 30° D

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Q: 10. m XWY is twice ZXWZ. Explain whether WZ must be the angle bisector of XWZ.

A: We need to prove angle bisect.

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VW. If XY = 54 –…

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Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

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Q: If RS = 2y, QT = -9y + 60, and UV = 4y, what is the value of y? T. R V y L

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Q: re parallel, perpendicular, or neither. Explain. 4:x + 9y = 2 b), (x = t = 15 + 9t %3D %3D ach lino

A: Line are parallel if slope is same Or perpendicular if slope1=-(1/slope2)

Q: If I is parallel to m, find the value of y. * (V)/ 1+ (5x+ 30)° 7x

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Q: Right APOR has mZQ= 30°, and QR = 15. 30° 15 P. R The length of side PR is The length of side PQ is

A: Explanation and solutions is given below....

Q: x+2y=12 x-4y=4 what is the angle that lies between two lines and is closest to the y-axis?

A: Tantheta = |(a1b2- b1a2)/(a1a2+b1b2)|

Q: Toprove dp x+ Pfz +レFz dz -fp

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Q: 9.

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Q: In the parallelogram below, if mz1 = mz2% =D 49° what is the missing value for x? to 1.

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Q: For what value of y must LMNP be a parallelogram? L. 66 66° LMNP must be a parallelogram for y=

A: Given,

Q: 8. Find the mussing side of the triangle. a) x+y 2 b) c) + y² d) x2 -y2 e) x2 + y2

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Q: In the diagram below of triangle UVW,X is a midpoint of UV and Y is a midpoint of VW. If m/Y XV = 3x…

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Q: In the diagram below, AB |I DEF, AE and BD intersect at C, mz B = 43°, and mz CEF= 152°.

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Q: 1. Determine the resultant and the direction angle (counter clockwise from the positive x- axis). 15…

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Q: For what value of y must LMNP be a parallelogram? L M 66° 66° P LMNP must be a parallelogram for y =

A: Given figureWe find the value of y when LMNP must be parallelogram.

Q: Given that y = 2x³, calculate the points (x, y) when : = 24. dx

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.