Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

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: Given: WZ 1 bis. XY Prove: AWXY is isosceles. (Hint: This proof can be written in three steps by…

A: 2. given  WZ↔ ⊥bis XY¯ as WZ is bisector of XY XZ=ZY......(1)

Q: Use calculus to find the area A of the triangle with the given vertices. (0,0), (4,5), (2,8) A=?

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Q: Must be in a paragraph proof

A: Given: ABC is a right triangle and BEDF is a square. Since, BEDF is a square with DF=x, so all of…

Q: What theorem can be used to prove these triangles are congruent? A. SAS В. HL C. neither

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Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

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: what is the length of r(t) = (2cost, 2sint) [0, 21] %3D on

A: The solution is given below in the next step:

Q: 1. Given OQ, AC = x2-6, BC = x, CQ = 5, Find the area of OQ. %3D %3D B

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Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

A: The answer is given as follows :

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: Find the length of side KL in the figure * AJKL is isosceles with KJ = LJ. K x+3 X-1 2х- 5

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Q: of the suface the in tasechon of what is the fomed by y?+ z?=l and x?+z?=\

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Q: The base of a three-dimensional figure is bound by the circle x² + y? = 16. Vertical cross sections…

A: Given  x2+y2=16y2=16-x2y=16-x2

Q: In the following sketch, AF|| BE. Prove that ACDF is a cyclic quadrilateral.

A: Quadrilateral ABEF and BCDE are cyclic, hence, as opposite angles of cyclic quadrilateral are…

Q: an Prove that n! ell7. dz 2ni (Z)n+1 Where C is a circle 1Z| 3D1 %3!

A: We have to prove that ann!=12πi∫Ceazdzzn+1, where C is the circle z=1 Use theorem which is given…

Q: Given: QR bisects ZEQW: 221 Prove: ER RW

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Q: しt A and B be similar inrertiblo matricen Ghow that and B" are rimilar

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Q: Determine the measure of the interior angle at vertex F. 4x 4x 4x 4x 2х 2x F A OA. 54 Ов. 36 Ос. 108…

A: Interior angles polygon is given

Q: Let R= (1,5). Calculate the length of OR. %3D

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Q: Conotrut a onatn'x whode Columu 8pure (leli2) & whole cli5) 10 is spanned by now &pale in Bpanned by

A: Column space is spanned by 3-dimensional vector. Row space is spanned by 2-dimensional vector.…

Q: 2. (– 13 + 3i)31

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Q: 2. Prove this using indirect proof in two-column form. Given: MP 1 NO M Prove: ZNPM is not a…

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Q: Prove:- The defect of a triangle in (RG) is an area function.

A: In Euclidean Geometry, the area of a triangle is calculated by multiplying the length of any side…

Q: What part is needed to prove the triangeis are congruent by SAS?

A: Choose the correct option.

Q: The caudrearoot af x subtrabted from twice X is equal to sove n .In sym bo. ト,2,3,43; Bこt2,46,83.…

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Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: W Given: OWXYZ with diagonals WY and XZ Prove: 21 = 22 2

A: Given: In figure  WXYZ is a rectangle with diagonals WY and XZ. To show: ∠1≅∠2

Q: 12 If SU = 37, find the length of SUR. S. %3D 151° R. T.

A: Given: SU=37(Note this represents diameter of given circle) And measure of angle SOR is 151°, where…

Q: 2. Find the area of the rhombus. di - (6x + 4) cm 42 - (10x + 10) cm a. (200x') cm² b. (30x² + 50x…

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Q: 2. Prove this using indirect proof in two-column form. Given: MP I NO Prove: ZNPM is not a straight…

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Q: Y 36 in 23 in W V U

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Q: 3. In parallelogram MNPQ, ZM = (5x + 5)° and ZP = (6x – 12)°. Prove that MNPQ is a rectangle. %3D

A: In parallelogram MNPQ,∠M=5x+5° and ∠P=6x-12°

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find MZSRT. 34°…

A: In triangle RST angle S + angle(srt) + angle  (rts) = 180 90 + angle (srt) +34= 180 Angle (srt) = 56

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: 8. Find the exact perimeter and area of the segment shown, given that mz0 60° and OA %3D %3D 12 in.

A: Please see the below picture for detailed solution.

Q: Prove that the area of a square whose diagonal has length d is A = A = 1/2d². A square with a…

A: A square has diagonal length of d, we have to find its area.

Q: Selve the fallowing euler Cauchy.eg:using net hed of variation? O xy.3x y+ 6X.y-6y= Xs,in X 2. %3D

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

Q: Prove that of all triangles having two given sides of lengths a and b, the one whose sides form a…

A: It is given that the length of two sides of a triangle is a and b, respectively. It is known that…

Q: Compute the area of the triangle. T = = ||OP x oQ|| = |(36, -36, 36) || = II ト

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Q: Find the area inside the inner loop of r = +5 12cosθ .

A: Given equation as r=5+12cosθ

Q: Prove Green's theorem for the rectangle defined by xo < x < x1 Yo < y < Y1 (a) directly, and (b)…

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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: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE:…

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Q: ■ Show that the area of the triangle whose vertices are the [X1 У1 points (x₁, y₁), (X2, Y2) &(X3,…

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Q: r = √3 − 2cos θ.

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Q: The diagonals of square DEFG intersect at point H. What is the measure of ZGHF?

A: The diagonals of a square are perpendicular bisectors of each other. That means, they intersect each…

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

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.