Given the diagram below, mZAOB = (8k + 8) ° and m/COD = (6k + 18) ° : k=

Q: 2.3.34 Challenge Given that mZA = (17x)°, mZC= (9x+ 17)°, and mZD= 125°, what is mZB? mZB =° A

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Q: In the accompanying diagram, AABC is similar to ADEF, LA LD, and LB LE. If AB = 3, BC = 12, DE = r+…

A: We have to find the value of x.

Q: In the diagram below of AABC, CDA, CEB, DE || AB, DE = 4, AB = 10, CD = x, and DA = x + 3. E X+3, A…

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Q: The coordinate C(2,45°, 25°) is, in RCS. C (1.2817,0.5977,1.4142)

A: The given spherical coordinates of a point is C2, 45°, 25°. The following conversions are used to…

Q: In the diagram below, AB 1 AC, CD= CE and mZB = 50°. Find mZDEB. 50° C

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Q: In the diagram below, AC || DG, BE = BF and mZABH = 72°. Find mZDEB. I G F E D C 72 B A H

A: We have to find ∠DEB

Q: In the accompanying figure, chords AB and CD intersect at E. If CD = 11, EB = 4, and CE = 3, find…

A: To find: The length of AE. Given information: The chords AB and CD intersect at E. If CD=11, EB=4…

Q: 15. Given the diagram at the right, as labeled, find CD. Choose: 04 25 0 4/5 C Man-.com A D 2 B 8.

A: Here we apply concepts of similar triangles to find the required side. Sum of interior angles of a…

Q: Complete with using the diagram for APOR and ALMK. 2. PO = LM, OR MK, KL 20, RP = 14, %3D mZM m20…

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Q: The figure below shows the way in which NASA uses aircraft to map ground by means of radar. AB =…

A: We have to find AC

Q: In the diagram below, AC 1 CB, AB 1 CD, and mZA = 31°. Find mZB. C A 31° D B

A: We know that sum of interior angles of any triangle is 180⁰. Here the given figure can be split into…

Q: In the diagram below, TS is parallel to AL. 12 7.75 S 5.1 B

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Q: In the accompanying diagram of AABC, AB 1 BC and EF 1 AB at E. If BC- 12, AB=16, and AE -8, find EF.…

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

Q: In the diagram below, AB | CD, AD || BC, AC IBD, AD DC, and mZCDE = 50°. Find m/ADE.

A: In a diagram below, AB¯∥ CD¯ ,  AD¯∥ BC¯ ,  AC¯⊥ BD¯  ,  AD¯≅ DC¯and m∠CDE=50°,  find m∠ADE

Q: In the diagram below, AB | DF, mZB = 49° and mZCEF = 149°. Find MZACB. B 49 C. 149 D E

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Q: 3. In the given circle 0, m AB -(3x-1) and m CD - (2x+ 11), What are the measures of AB and CD?

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Q: In the diagram below, AB m/ACB 60°. Find m/ BCE. AD, DE DC, ZB ECD and 60

A: Consider the following diagram: AB¯⊥AD¯, DE¯⊥DC¯m∠BAC=90°m∠EDC=90°∠B≅∠ECDm∠ACB=60°

Q: In the diagram below, AB || CD, AD || BC, DE ICE, MZDCE = 30° and mZADE = 59°. Find mZECB. 30 59 A E…

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Q: D E 3. If mQNO= 238, what is the mzPQO? mzPQR?

A: 3. We know that a complete angle is 360 degree Therefore mQNO⏜+mOPQ⏜=360°…

Q: In the figure below, mZ3=144°. Find m1, mZ2, and m24. mZ1%3= m Z2 = %3D 2 3 m Z4 =

A: Given data,                   m∠ 3 = 144°

Q: d) Va,be A :Ice B : Vde A : abtbd <3

A:

Q: In the diagram below AC||BD [ABP] = [CDP]. B P A Select one: True False

A: Theorem : Triangles on the same base (or equal bases) and between the same parallels are equal in…

Q: Use the following diagram, with DABCD: 13 A B D C AB = 13 ВС CD AD = 7

A: given,

Q: In the figure below, m Z1= 126°. Find m 2, mZ3, and m Z4. m 2 2 = []• 3 m 2 3 = %3D 1 m Z4 =

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Q: In the diagram below, AB || C'D, mZDHF = 59°, and mZB = 16°. Find mZE. F D 59 В 16° C А E

A: Given that      AB // CD ,  m∠DHF = 59°  and m∠B = 16° Here we have to find m∠E .

Q: Which of the following situations illustrates combination?

A: Combination is one of the fundamental counting principles.

Q: In the figure, A-B-C. If АВ 3D A B C 6.2 and BC 9.5, find AC. Exercises 37–39 In the figure, A-B-C.…

A: According to given figure AC=AB+BC                                     ..1

Q: In the diagram below, AB || CD, AD || BC, AD = AE and m2C = 72°. Find mZDEB. E D B.

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Q: In the diagram below, if mz1 = 28°, mz2 = 17°, and mz3 = 85° , find mz4. %3D 3 4 35° O 113° O 50° O…

A: J

Q: In the diagram shown, CD = 7, DB = 8, AE = 5, and mZC = 62°. A 62° x° B 8 a. If AC || DE, what is…

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Q: Use the diagram below to find mCD. A. 25.2° B. 100.8° C. 120⁰ D. 75.1° 109⁰ A to B C (5x - 1)° 4x°

A: Here we have to find the value of mCD.

Q: In the diagram below, if CD = 14 and BC = 5, find BD. B C D

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Q: Español In the figure below, m L ABD=70°, and m z 2 is 20° more than mz 1. Find m z 1. mz1 = %3D

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Q: In the diagram below, AB || CD, AD || BC, AD = AE and m/C = 72°. Find mZDEB. В E A

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Q: In the following diagram, A RSW - A VST. Also, RS = 28, WS = 30, RW = 4b- 9, ST = 10b - 5, and SV =…

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Q: In the diagram, CD 1 AC, BE I AC, AB CD = 21. Find BC. 24, C 21 18 B E. 24 A. 30 35 5/

A: If all the corresponding angles  of any two triangle are equal then the two triangles are said to be…

Q: c. Given: AABC-ADEC, mzB=50, and EC =3 Find: 1. mzBCE b. BC B. D.

A: We will use the properties of congruence of triangles.

Q: In the diagram below, AB BD = BC, and mZA= 24°. Find m/C. A 24° D.

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Q: In the diagram below, AD || EG, BH 1 FC, and mZGFH = 59°. Find mZHBC. E F 59° H A B C D

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Q: In the diagram below, AB BD BC, and mZA = 24°. Find mZC. %3D A C 24° D

A: It is given that AB¯≅BD¯, means ∆ABC is isosceles triangle. Similarly it is given that BC¯≅BD¯ ,…

Q: In the diagram below, BE EC, mZAEC = 77° and mZABE = 119° Find mZAEB. , %3D C D 119° 77

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Q: In the figure below, mz1=97°. Find mz 2, m z 3, and mz 4.

A: Givenm∠1=97°We need to detetmine m∠2 , m∠3 , m∠4

Q: In the diagram below, AD || EG, BH 1 FC, and mZGFH = 59°. Find mZHBC. E F 59° H. B

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Q: Based on your decisions from the previous problem, find the correct number of possible options for…

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Q: For Exercises 7 and 8, use the Trichotomy Property to decide whether a b. 12 7. а) а- -2 b = 4(-2)…

A: 7. a) Consider the given expressions, a=12-2 and b=4-2 simplify each expression as follows, a=-6 and…

Q: In the diagram, mZACB=61. Find mZACE. mZACE = 0° ... (...) E c A B D

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Q: If the defining relationship was I = ABE = BCF = ACG = ACEF = BCEG = ABFG = EFG %3D And you folded…

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Q: In the diagram below, AB BC, and mZBCD = 115°. Find mZB. D. 115°

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Q: Use the diagram to answer the following question. If the m<1 = 52, what is the m<3? %3D 4

A: Known fact: When two lines are intersecting at a point, opposite angles made by that point are…

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.