10. For the angles a and B in the figures, find cos(a + B). 2 3. 2.

Q: 5. In the diagram below, AB is tangent to circle C at point D and AC 1 BC. If mLA= 28° then which of…

A: The sum of 3 angles in a triangle is equal to 180 degree.

Q: 21. Given = 12x - 4 and 28 8x + 8, find x and the requested angles. 28 = 1/2 3 4 21 = _ 25 = %3D

A:

Q: 8. 30 30 12 A Yes, because of the AA Theorem. B Yes, because of the SAS ~ Theorem C Yes, because of…

A:

Q: A positive angle less than 4π that is coterminal to 4π/3 is

A: We have to find positive angle less than 4π and coterminal to 4π/3.

Q: Consider the following. = (4, 6), v = (9, 1) %3D (a) Find u • v. u V = (b) Find the angle between u…

A:

Q: Suppose a = . Suppose also that b makes an angle of 60° with b, a · b = then |b| = ?. 4 O A. 3 /3 3…

A:

Q: Find the value of x for the figure 60 Sum of interior angles = X = aniwollat er b to Sum of exterior…

A:

Q: Suppose v. w = 6 and ||7× w|| = 4, and the angle between ỹ and w is 0. Find (a) tan 0 = (b) Ө —

A: v · w= |v| × |w| × cos(θ) =6 v × w = |v| |w| sin(θ) =4

Q: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

A:

Q: 1. Draw the three proportional triangles from this sketch: R

A: topic - similar triangles

Q: Find that is cotefminalI with 0and aT 17TT 4. angle between

A: We can find the co-terminal angle as below.

Q: Suppose that L M is a right angle. What can you deduce aboutangles G, R, and A?

A: ∠G  &  ∠M are supplementary and ∠M  &  ∠A are supplementary.

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: Given Cos = - , 90°LQ<186 2. So) puy

A: We will make use of the following trigonometric identity: cosθ = 2cos2(θ/2) - 1

Q: Given: ZM is a right angle in ANMQ (not shown); mZN = 57° Find: m¿Q %3D

A: It is given that, The △NMQ is right angled at M i. e. ∠M=90° The angle ∠N=57° The corresponding…

Q: with line mm drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior…

A:

Q: Which rule explains why these scalene triangles are similar? SSS SAS AA none of the above: the…

A: Given  Two triangles

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

A: The additional side is:-

Q: In the figure BF 1 AE, m &lt;BOC = x, and m ,GOH = y. Express the measure of the angle in terms of…

A: According to given figure ∠COD=∠GOH…

Q: 16. Consider the diagram and angle measurements shown below. k m/1=(x+14)° 3 m23 = (3y+7)° (5 m24 =…

A: Given diagram is…

Q: II. Refer to the figure below in answering the following questions 1. What is tlhe mzd if mze =…

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

Q: 1. Which of the following is always true about two figures that are similar? (1) their corresponding…

A: The two figure are similar if  the ratio of their corresponding two sides is equal and also, the…

Q: 11.Which corresponding angles establish the congruence of the given figure below? a. ZK b. ZR C. ZM…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Let a = ci + j andb = 8i + 15j. Find e so that the angle between a and b is. Round your answers to…

A: Consider the dot product of two vectors

Q: Suppose i· w 7 and ||i x w|| = 4, and the angle between v and w is 0. Find (a) tan 0 = (b) 0 =

A: Given that: v.w = 7 for dot product we know that: v.w = |v|*|w|*cos  |v|*|w|*cos  = 7 Given that:…

Q: If sin D cos E, then 2D and ZE must be angles. %3D A adjacent A. complementary B. C. congruent…

A:

Q: 8. If LA and ZB are complementary angles, mZA (2r +11) and m/B = (10x- 17), find mLA. %3D

A: Two angles are said to be complementary it their measures add to 90 degrees.

Q: Suppose - w = 5 and ||i x u|| = 2, and the angle between i and w is 0. Find %3| (a) tan 0 (b) e

A:

Q: 23. In APQR there is a right angle at R, cosQ for PR and PQ respectively are and side QR=4. The…

A: We will solve the problem.

Q: ALMN ARQP Match the coresponding sides and coresponding angles that are congruent. RQ OP PR P R…

A:

Q: Draw a blue ray from the pole to point O and consider the ray as 'positive' radius. Now, change…

A:

Q: I need to find the amplitude and period.

A: Given:   f(x) = - sin ( x - π/3 )

Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

A:

Q: Find an angle between 0 and 2π that is coterminal to −2π/21 .

A:

Q: 25. Use the exterior angle theorem to solve for x, then find the mZBCD- (3x+ 10)° 40 (2x + 20)°…

A:

Q: 1. Which of the following describes the measures of all angles that are coterminal with the angle…

A: Co-terminal of an angle is measured by adding or subtracting a given multiple of 360° or 2π .…

Q: aco /s , and Sin 3/5 Given tlat Cos a = a) Sketch the refeence triongle for angle a 4.

A:

Q: 8 find the following. 15 13 If a and B are acute angles such that csc a = – and cot B = %3D 12 (a)…

A: Given: csc α=1312we know, csc α=1sin α  sin α=1213     so

Q: Show that the two triangles are similar. Q P v and ZN so ALNQ AMNP.

A:

Q: 7. For the following fig a. Determine all the missing angle measures in the given figure.

A: We have been given the figure where we have 4 sides of an irregular quadrilateral and we have to…

Q: Given: Diagram as shown ZPRS ZSRQ PS -6 sQ-8 PR 15 Find: QR (Justify your work.)

A: According to the Angle Bisector Theorem, an angle bisector of a triangle will split the opposite…

Q: Suppose that u = (5, 3) and v= (6, –1). what is the angle between u and v, rounded to the nearest…

A:

Q: 21. Given: AXYZ with angles as shown in the 75° drawing XY 12 Find: (HINT: Compare this drawing to…

A:

Q: 1. Find an angle e coterminal to -202°, 5 points where 0° se <360° (the angle measure must be…

A:

Q: | 4. Which pair of angles are alternate exterior angles of parallel lines v and w? W S Co b° a° do O…

A: According to the definition,  Alternate exterior angle are the pair of angles that lie on the outer…

Q: The bounds for the angle θ will be ____? θ = 0 to θ = π /2 θ = 0 to θ = 90 θ = 0 to…

A: We have given a sector of circle. And  The equation of circle is y2 + x2 = 9 And we have to find out…