1. Prove: Va, b, c E Z: alb and blc = alc 2. Give an example with a = 7 and b, c + 7.

Q: 2. In the diagram below of AA DC and AADB DC DB, and A C=AB. To prove A A DCaAADB by SAS, what other…

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Q: O If fCos,y)=xty-xy%,find Joc-1,y-2. DIf 2=ea>c+ ky oflexx-by), Prove thet baz + ag = 2abz.

A: 1.Given function is fx,y=x3y-xy3. We have to find 1fx+1fy1,2

Q: Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

A: Given :  X , Y ⊆ U . P (X) = 0.3 , P (Y) = 0.32  and P(X∩Y) = 0.08 .  To find : P (X' ∪ Y) = ?   The…

Q: GIVEN: SE = SW, 41 = x2, EL = WB. PROVE: KL AB. W

A: Congruency  Properties : angle angle side (aas) property                       Congruent parts of…

Q: 5 Calculate, without using a calculator, the value of w in AWRK if r= 40 mm, R= 45° and W= 60°. Give…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: GIVEN: AC = BD, AB 1 BC, DC 1 BC. PROVE: 1 = x2. A he accompanvimg digarana

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Q: In GL(2, Z,3), det 4. O 35 11

A: Third option is correct.

Q: If AMNO APQR, which of the following can you NOT conclude as being true? A) MN PR B) ZM ZP NO QR ZN…

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Q: Day 5 Practice: 6.5 Triangle Congruence 1. JK =, .K ON = ZK = W. MO = ZM =

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Q: Use the drawing below as needed to answer the question. 1. 3. 7. 6. 8. 4 Given: m || n transversal k…

A: Solve. For x and y and angle 7

Q: e since), yo)=0, yco) = | %3D

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Q: 4. If mDE = 108° and m ZDOC = } a. mEA b. MZEAF = 85°, find: %3D D C. MZDAC

A: Given   mDE⏜ = 1080 and m∠DOC=850  a) By diagram of the circle mDE⏜A  is semi circle.  ∴…

Q: : Given a r.v. *=4 3,4,5,then af y= 3x-2, then find ECY), VY) and MCE). Sも), ......

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Q: 6. Which set of information below would be enough to conclude that AEFG is similar to AABC? АВ AC…

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Q: Given: AB I BC; BD 1 AC a. If m LC = 22, find m L ABD. b. If m LC = 23, find m ZABD. c. Explain why…

A: According to given figure in △ABC and ∆ADB ∠ABC=∠ADB…

Q: luhich of the following is not a sulispore ah 'R 3 uEetors of the form of a to a Ca,-a, b b Ca, b,…

A: Subspace of the vector space

Q: 5. If z = In , then determine if the following statement is true or false. Justify your answer. a²z…

A: Solve the following

Q: 3. Suppose AB=RS and mzB = mzS. What other information is needed to prove that AABC = ARST by SAS?…

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Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

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Q: Consider the following. Given: AABC with mzA = 45°, mzB = 30°, and %3D BC = 10 %3! Find: AB 45° 30°…

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Q: If ASTU - AXYZ, which statements must be true? Check all that apply. ST - XY YZ O XY O ZS E LX O ZT…

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Q: 4. In AMAP and ATIE, LA = LI and ZP = LE. a. What is the relationship between ZM and ZT? b. If mZA=…

A: Given:- In ⧍MAP and ⧍TIE,∠A = ∠I and ∠P = ∠E. To find:- a. What is the relationship between ∠M and…

Q: The formula in cell B1 is =A$2. Autofill is used by dragging B1's autofill box across to C1, D1, and…

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Q: In AABC, AB//QR and AP : PB = BR : RC. With reasons, prove that PQ//BC. R C

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Q: 2. 2 A = Frd eDen Value 2. and eiJen Vecctor ote 1=5 入e= o

A: Given A=2212215-11

Q: 4) Given: WX || YZ,WX = YZ Prove: AWXZ = AYZX W. Thoughts:

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Q: 1, Y2, · · , Y9 and it is believed that Y; ~ N(u, 16). Find P(|Y – µl < 2). ...

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Q: Given: ZP = ZQ PO = QO Prove: A APO = A BQO 2 I A 1. 2.

A: Given- ∠P=∠QPO≅QO To prove- ∆APO≅∆BQO. Concept Used- The above triangle can be proved congruently by…

Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: GIVEN: AB I BC, XACB is complementary to ABE. PROVE: AC || EBD. D

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Q: 2. (Z, * ) where * is define by a * b = a - b.

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Q: Evaluate Sc (5x+2√y) ds ds where C is given in the accompanying figure. CH (1,1) 1- Z y=x y=x² X…

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Q: |,x = [] , B = [º,] then,lA| = If A = %3D %3D 1. 16 2. 4 3. S 4. - 12

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Q: 2. Given: XW = XY, HA I WY, KB 1 WY Prove: AHWA~AKYB. W.

A: Given that XW¯=XY¯ in ∆XWY. So, ∠XWY≅∠XYWor, ∠HWA≅∠KYBGiven that HA¯⊥WY¯, KB¯⊥WY¯So, ∠HAW≅∠KBY=90°

Q: :? Let w = r. In(ry²z*), then which of the following is %3D O a. O b. 0 O .- y2 2 O e.

A: Derivate with respect to z, z and x.

Q: Given: ZA = LC DC AB DA | СВ Prove: A B

A: Given that ∠A≅∠C, DC→∥AB→.

Q: What conclusions can yo WD DY because ZX is WX = XY because of The Find the value of x to the ne 8.…

A: Using Pythagorean therom.

Q: The diagram shows a vertic with W, Y , and Z as points the flag (X) from Z given X.

A: To find the angle of elevation.

Q: : Given a .v. メ=リ34,5, then O af y= 3x-2, then find E(Y),VCY) and MCt)-

A: Solution

Q: 1. If a, b e R and b # 0, show that: (b) la/b| = |a|/\b|.

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Q: if w= /x2 + y2 + z2, x= erCos0, y=erSin0, z=ee prove that aw/ar= e?r/w and aw/ae = e20/w

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Q: 7. If B is between A and C, and AC = 5y + 9, AB = 18, and BC = 2y. Find the value of y. Draw a…

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Q: 7. If WX = 14 and WR = 8, find RZ. 8. If AC = 38 and ED = 41, find CD. %3D %3D R

A: Here we have to find out the answers

Q: Given: Figure Z4 is supplementary to 22 as shown Prove: 2 LO 4.

A: Given: To prove: ∠4 is supplementary to ∠2.

Q: The soluhion of P.D.E 3 + 2 du o, u(x,0) = 4e* is @ 4e © 4e O 4e

A: 3∂u∂x+2∂u∂y=0, ux, 0=4e-x Characteristic curves are given by  dx3=dy2=du0 Solving the first two,…

Q: 11 Given: AC I BC, ZC = (3x)°, BC = x + 20, %3! AC = 2x - 20 Is AABC isosceles? A

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Q: Suppose that X, Y C U. If Pr(X) = 0.4, Pr(Y) = 0.22, and Pr(XnY) = 0.07, what is Pr(X' U Y)? %3D

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Q: Let z, w E C. Show that |z + w[? + |z – w|? = 2(\z|² + |w|?).

A: Any complex number, Z can be represented as Z=x+iy, where x=Re(Z) , y=Im(Z) . The expression, Z can…

Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).

A: The function is φ(x, y, z)=x2z+ey/x

Q: Given: ABCD3; D. DE I AC: BF I AC Prove: DEBF is a .

A: Solution