a) 1 -dr+ 1 dr = In a, find the exact value of a. Given that V16+9x? V9+4x?

Q: 22. In A ABC, D is a point on AC and E is a point on CB such that DE AB. If AD DC and DE = of AB. 3,…

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Q: A standard proof of the Pythagorean theorem starts with a right triangle ABC, with its right angles…

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Q: The diagonals of square ABCD intersect at point E. If BE = 2x +1, and AC = 3(6x - 4), find BD. O 1 O…

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Q: ) Given : Quad rilateral RSTV with diagonals RT and su intersecting at w Prove : mLT+mLa= m23 tm<4

A: In the quadrilateral,                  ∠VWR=∠TWS.

Q: Find the asea enclose by the cuo ves 4= 8-x2 and y=c?

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

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Q: In AHIJ, mZH = (8x – 6)°, mZI = (2x – 4)°, and mZJ = (x – 8)°. Find %3D m/H.

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Q: Given that P l2 and PAP = D, compute A". %3D %3D

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Q: 12) Show that D. ldi-del is shortest distance bet uleen ax-by+c2di i and ax+by tcz =dz?

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Q: In AHIJ, ZI ZH, HI = 14 and JH = 15. Find the length ofIJ. %3D

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Q: Given: MT and HA intersect at B, MA  HT , and MT bisects HA. Prove: MA ≅ HT

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Q: In the adjacent figure, ABC is a right triangle angled at A. • AB = 1 cm; AC= 2 cm. • R is the point…

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Q: Given that 21xx2 + 4 dx = 35/5 - 56, what is 21uvu? %3D 4 du?

A: Given integral and it's value - ∫0121xx2+4 dx = 355-56         ...................(1)We need to find…

Q: A rectangular box has dimensions 8" X 6" X 4". Approxi- mate, to the nearest tenth of a degree, the…

A: Given, the dimensions of a rectangular box is as follows: length = 8 inches  width = 6 inches…

Q: The diagonals of square MNOPMNOP intersect at Z.Z.  If MZ=2x+6MZ=2x+6 and NP=6x-10,NP=6x−10, find…

A: Geometry question

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE = ACBE

A: We have to solve the problem

Q: A, D, ai Ical Bis between A and C. If AB = 36, BC = 5x - 9, and AC = 54, find x. %3D %3D

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Q: Question 4: If a = -(~p v ~r) and KB = (p v q)^(~q vr), prove by the analysis method (proof based on…

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Q: 2 Prove that the triangles are Similar. 3. 12 18 1.5 F 12 -A ABC~A DEF by SSS~ -AABC~AEDF by SSS~…

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Q: Use the side-splitter theorem to solve for a in the triangle below. 12 11 77

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Q: 9. The diagonals of parallelogram PQRS intersect at X. If RX = a and RS = b, the following in terms…

A: Parallelogram and triangle law of vectors

Q: 1. Given: AB intersects CD at O so that 21 is a right angle Prove: 2 and 23 are complementary

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Q: Which shows heptagon QRSTUVW rotated 225° counterclockwise around point K? R

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Q: Find the stundand matices * and a for ToT,OT and て:→ド,1)- (-3y, fn + 3) T:→ド, 1.(4)): (J,)

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Q: In ABCD, BD is extended through point D to point E, m/BCD = (2r - 1), mZCDE = (7x - 19)°, and MZDBC…

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Q: Let a=ci+j and b=3i+6j. Find c so that a and b are orthogonal.

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Q: In APQR, PR is extended through point R to point S, mZQRS = (7x + 8)°, mZRPQ = (x + 12)°, and mPQR=…

A: Given: In triangle PQR, PR is extended through point R to point S. Concept Used: Exterior angle…

Q: Use A GHJ, where D, E, and Fare midpoints of the sides. D If HJ = &x – 2 and DF = 2x + 11, what is…

A: Question:- Use triangle GHJ, where D, E, and Fare midpoints of the sides. If HJ = 8x - 2 and DF = 2x…

Q: 10. Given MLABC = 94°, find mZCBD. %3D (3x +15)° ++7) C Show

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Q: Find PR, given that SQ 4 and PS = 3. %3D %3D Q

A: Consider the provided graph, And given that SQ=4 and PS=3 Find the value of PR.

Q: Find X,zandy such that As Skew Symmetric.cuhere A=10 221 3+4 W. L32

A: A square matrix A is said to be skew-symmetric if and only if AT = -A. Note that all the elements of…

Q: Given: B and D are midpoints of the sides AC and CF, BD = DE Prove: BD || AF. (Use two-column…

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Q: Show that if tx, ty and t, are triangular numbers, then show that t, = ty + tz, where n(n+1) x = y =…

A: We are given three triangular numbers : tx , ty , tz  And we have to show that : tx = ty + tz Where…

Q: In AVWX, VX is extended through point X to point Y, mZXVW = (3x + 13)°, mZW XY = (9x – 14)°, and…

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

A: According to the formula, =A$2, row dimension 2 has been fixed and column dimension is floating.

Q: Given: Right AABC with mzC = 90°, mzA = 30°, %3D mzB = 60° BC = a. Prove: AB = 2a and AC = a3-

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Q: Use the side-splitter theorem to solve for a in the triangle below. 8 6.

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Q: 9. In ADEF, if ZD= LE, DE = x + 4, EF = 4x – 8, and DF = 7x – 35, find x and the measure of each…

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Q: Given tite zi=+y,i] and 22= (22+Y2i) Proof that R arg 2L argz,-arg Z2 %3D

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Q: In AQRS, QS is extended through point S to point T, m/QRS = (x + 8)°, mZRST = (4x + 11)°, and mZSQR…

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Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE B.

A: Solution: To Prove △ADE≅△CBE

Q: In the figure alongside, D is mid-point of BC. If 2CG = AC and BA//DE, prove that 3DF = FG. %3D

A: Consider the given triangle. Given that D is the mid point of BC. Hence, BD=DC. Also, the lines…

Q: 4. x = In rhombus ABCD, mZA= (2x + 15)° & mZD= (3x – 5)°. Blanks with this answer: T HINT: Draw it…

A: Solve for the value of x

Q: In kite PQRS, MZPQR = 78°, and m/TRS = 59°. Find %3D R m/QRT. S

A: PQ=RQ

Q: 12 Given: AB = x + 3, A %3D AC = 3x + 2, %3D BC = 2x + 3; ВС Perimeter of AABC = 20. Show that AABC…

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Q: 29. Find a formula for the area of the triangle whose vertices a 0, V1 , and v2 in R².

A: Given that  Vertices of the triangle is 0,v1,V2  To find the area of the triangle

Q: Find w a + bi = Jz, where a and b are real numbers. VE %3D 24+10i

A: It is given that w=z, where z=24+10i. Let w=a+ib where a and b are real numbers. w=z Substitute…