Show that p = V2/1 - cos O in an isosceles triangle that has two sides of length p, an angle of 0 between these two sides, and a third side of length r.

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: Another way to prove the Isosceles Triangle Theorem starts by locating the midpoint of AB and…

A: As per guildlines we can solve one question at a time if you still need answers of all ask them…

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

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

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Q: Use Figure to find all angles between 0 and 2π satisfying the given condition. cosθ = 1/2

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Q: 9. In triangle PQR, 2PRQ = 50° PR= 11, and PU = 9. a) Show that there are two possible measures of…

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Q: 20. Using OC at the right, arrange the statements and reasons into sequential order to prove that MT…

A: Solution is given below:

Q: For the given triangle, prove that JK +JL> KL.

A: To Prove: (JK + JL) > KL

Q: 24. Use the diagram to write the vertical angles theorem. Given: AC intersects BD at E. Prove: ZAED…

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Q: Consider the quarter-circle of radius 1 and right triangles ABE and ACD given in the accompanying…

A: Here the objective is to prove the identity given below:

Q: Determine the measure of the interior angle at vertex E. 4x 4x 4x 3x E 3x А OA. 30 Ов. 90 Ос. 150…

A: given pentagon                        then we have to determine measure of   interior angle of…

Q: the cut from the first of quad nant by the regisn 2- Find the area negida r= I+ Sin@ ?

A: Given data is : r=1+sinθ To  find the area in first quadrant.

Q: Sketch the triangle with vertices at the origin O, P = (3, 3, 0), and Q = (0, 3, 3), and compute its…

A: The area of the triangle using the cross products is defines as Area=12v×u Here, v is the vector…

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

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Q: Derive the formula cos(a)=cos(b)cos(c)+sin(b)sin(c)cos(A) for an arbitrary spherical triangle with…

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Q: Prove that if the Fermat-Torricelli with the orthocenter, then ABC is equilateral. point of an acute…

A: To prove that if the fermat-torricelli point of an acute triangle ABC coincides with the…

Q: If any Point o inside eR ouside a tetrahedron ABCD is Joined to the Vertices and AO BO, Co ,DO are…

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Q: Find all angles between 0 and 2T satisfying the condition -1 Cs x = Separate your answers with…

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Q: Draw a circle whose center S is at a distance equal to TU from vertex A of the angle, and tangent to…

A: Given: a line TU of length unknown and an Angle whose vertex is A. We have to Draw a circle whose…

Q: For the given triangle, prove |JK| + |JL| > |KL|.

A: Consider the given triangle JKL. Construct the triangle JKL as shown below:

Q: If C is the line segment that first connects point 2 to point i, and then the spring piece that…

A: Consider two regions C1 and C2 then these can be defined as follows, Thus, C=C1UC2 The conjugate…

Q: What is the angle between 2a + 3y + z = 5 and x – ay + az = 7?

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Q: 1. Prove analytically that if A and B are the ends of a diameter of a circle and C is any point on…

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Q: Use AAS to prove the triangles congruent. Given: ZR and ZP are right angles. QR || SP Prove: AQPS =…

A: Given: ∠R and ∠S are right angles and QR∥SP are parallel lines

Q: Use Figure to find all angles between 0 and 2π satisfying the given condition. tanθ = 1

A: The given equation tanθ=1 is a trigonometric function; hence, trigonometric identities help to find…

Q: Find a positive angle less than 2x that is coterminal with the given angle. 34x 34x A positive angle…

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Q: se I draw 20 circles in the plane, all passing through the origin, but no two tan eorigin. Also,…

A: Imagine the drawing of your n circles as a plane graph. The intersections of the circles are the…

Q: obtain the value of b. regaring e conomethies and the forme 4= bo t bi Xi Y=bot bixitei

A: For the given linear regression line and its estimate: Y = b0 + b1Xi + ei y^ = b0 + b1 Xi We need to…

Q: A secant to two congruent circles, which is parallel to the line of centers OO', meets the first…

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Q: In circle P with mZNRQ = 23, find the mZN PQ. %3D R

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Q: Prove the Pythagorean Theorem with Similar Triangles using a two-column proof.

A: To Prove the Pythagorean Theorem with Similar Triangles using a two-column proof

Q: 34. Prove that an altitude of an acute scalene triangle cannot bisect the angle from whose vertex it…

A: We will prove that an altitude cannot bisect the angle from whose vertex it is drawn as following.…

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: Exercise 5 Consider the following triangle. V- proju(v) 1. Prove that the area of this triangle is…

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Q: 2. Let 0 = 950°. In degrees, find a positive angle less than 360° which is coterminal with 0. %3D

A: Coterminal angles are the angles who share the same initial side and terminal side. To find…

Q: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth…

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Q: Find the angle planes 3xx + z=land radans between the Sy +z=. in

A: We use dot product between Normal vectors of given planes to find angle between these two planes

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: ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and are…

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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: Consider AXYZ (not shown). a) Which side is included by ZX and LY? b) Which angle is included by…

A: Draw the triangle ∆XYZ.

Q: Show that the two triangles are similar. S v and SVR Z V. so ASIVR ATRU ZVRS L

A: The figure given in the problem represents two triangles. From the figure, angle VRS and angle RUT…

Q: (a) Let A, be the area of a polygon with n equal sides inscribed in a circle with radius r. By…

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Q: Find the area of the intersection of the circles r = 3 sin(0) andr = 3 cos(0).

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Q: 2. ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and…

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Q: Consider AXYZ (not shown). a) Which side is included by LX and LY? b) Which angle is included by…

A: Given, to consider a triangle XYZ To find a) Which side is included by ∠X and ∠Y? b) Which angle is…

Q: 1. PORST is a pentagon inscribed in a circle. If Z RPS = 30°,ZQSR = 32°,ZPQS = 68° and SR = TS, find…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: If HO = NR. LH = LN and 20 = 4R, which triangle-congruence postulate guarantees that AHOP = ANRT.…

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