In the figure glven below, RU || SV and RU || TW. Match the reasons glven In the first column with their corresponding staterments In order to prove SV || TW. Re T To M W Given DRAG & DROP THE ANSWER Corresponding angles are congruent SV | TW

Q: Let vector v = and w = . Blank 1: Find v + w. Blank 2: Find 3v - 4w. Blank 3: Find ||w|l. Blank 4:…

A: We have to find vector addition, subtraction, direction and modulus.

Q: What is the length of FH? TEKS G8(A) G.1(E), G.1F) A 8 B 18 C 20 D 24 20

A: Given: A triangle FGH with side JK∥GH If a line parallel to one side of a triangle intersects the…

Q: For what valunN vt c iv le (1, 2,3) | - 1 ? A. 14 B. -J14 d. tJ C. į J 14

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Q: Type the correct answer in each box. 21 = 3 cis 7 and 5 cis () %3D If z1 x z2 = a + bi then a = and…

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Q: Determine if ST is parallel to PR 2. 10 T 16 R 7. 11.2

A: We have to use similarity criteria.

Q: R varies jointly as M, and M, and inversely as d. a) Write the variation equation. b) If R is 70…

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Q: Consider vectors 3 u=-2 and v= What is the cosine of the angle between u and v? 16/0 3 10 3√14 0 2…

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Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: Assume that ||v|| = 3, ||w||= 5, and the angle between v and w isθ = π/3 .  Find ||v + w||.

A: Given: v=3,w=5,θ=π3 We know that v+w is given by v+w=v2+w2+2vwcosθ…

Q: B. A C G I. K Lines AD and HE are parallel. ZFGE = 50° ZFCE = -

A: Angle FCE is 40 degree

Q: Thorem lat Agxt Amatrix then. O A is ellielicmatrÀX iff JedA or @ Ais stoble matri x iLf idet A>o…

A: Let A be a 2×2 matrix. To prove A is elliptic if and only if detA=0 or trA=0 and detA<0 A…

Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: 5. Verify that the. functrun.u=1/ xy2? satis fies the threendimensianal.place cop.x+Uyy.+Uzz =o %3!…

A: Rrrrrrrl

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 100, ||v|| = 230, 0 6

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Q: 2. Let ū= , i = . Fine a. u.v proj. c. Angle between u and v d. Cross product uxv e. Verify that uxv…

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Q: d³v -, which of the following variables it the dependent variable? In the notation dis (A y Bt

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Q: Complete the proof that mZXWY + MZRTU = 180°. R Statement Reason Given 1 VX || SU 2 ZXWY LUTW 3…

A: Topic:- geometry

Q: Exerises: Pove-tie followang len fotze CosecA t tan AsecA = Cosec A sec?A sMACCosec A t CotAJ =1…

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Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v|| = 14, 0 = - 3

A: This problem can be solved by directly putting given values in the formula for the dot (or scalar)…

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v || = 64, 0 4

A: Directly use the formula for dot product of two vector and simplify the result.

Q: Name two planes that intersect in FG.

A: We have to name the plane which intersects in FG,

Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: miaad A B. G. E

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Q: Which statement is right? a. If pi/3 is the angle between u and v, then u . v = 1/2 ||u||||v|| b. If…

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Q: Hind all zeras of taW=x°+5xa+x+5. tnter the Leras spelated by commas.

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Q: Let a, b, c E Z. Prove: If alb and blc, then alc.

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Q: ZGHF and Z[?] are alternate interior angles. A C E H B G F LL D

A: To find the alternate interior angle of angle  in thefollowing figure.

Q: 99 79 R P.

A:

Q: the answer

A: Given, the function                         u=1x2+y2+z2 To verify…

Q: Let A = Land B = lí 3l Which one of the following is not symmetric? B = li -3) which one of the…

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Q: Find u - v, where e is the angle between u and v. 27 |매 10, ||v|| = 17, 0 = , |u|| 3

A: Given: u→=10 ,     v→=17  Angle between both vectors is:  θ=2π3

Q: Let v = 2 1 - 3 + 5k, and u = -2 i + 3j - 5k, Calculate vll, ull, Ilv • ūll, and 8 (the angle…

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Q: Find SU. U. 10 v T x+6 x+ 10

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Q: 2. Which of the following statements is TRUE? (Circle ALL that apply) a. |ū - v is always less than…

A: We need to check whether the given statements are true. We will check one by one.