3. Show that if A = 3a, + 2ay – az, B = 4ax – 8a, – 4a, and C = 7ax – 6ay – 5a,, then A, B and C form a right angle triangle.

Q: 24. If ABCD is a rhombus, AD = 4x + 2. DC = 7x- 13, and BD = 34, find AE.

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

Q: 9. If ON bisects ZPQR and N is the midpoint of PR classify each triangle by its angles and sides. а.…

A: Consider the given figure. QN¯ bisects ∠PQR and N is the midpoint of PR¯. a. Consider the triangle…

Q: The angle formed between A = 5a,+ 10a,+3az and surface z = 5 is 74.97 O 10 48.189 15.1 A Moving to…

A:

Q: 3. If A, B, Care collinear with B between A and Cand AB = 5x+3 and BC = 3x-1 and AC= 18, what is the…

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Q: D Suppose that mZA = mZD. Which other fact would guarantee that the triangles are SIMILAR? CB 是 AB…

A: Two triangles are similar if corresponding sides are proportional and angles are equal  We can use…

Q: 5. If AMNP- ATSR and NO and SU are angle bisectors, find TS. T. 5x-2 3x + 1 26 39 'S.

A: Solution ) triangle MNP ~ triangle TSR Ratio of all corresponding  sides are equal including angle…

Q: If the bisector of an angle of a triangle also bisects the opposite side, then the triangle is an…

A: Given: In △XYZ YW→ bisects ∠XYZ and WX≅WZ, To prove: △XYZ is isosceles.

Q: Find a positive angle less than 2n that is coterminal with the given angle. 19T 4

A:

Q: Let A = (-3, 2), B = (1, 0), and C = (4, 6). Prove that ABC is a right- angled triangle.

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Q: 22. If JKLM is a rhombus, find each angle. MZJKL = K 36° MZMLK = MZJMK %3D MZMJL = M L MZKNL =

A: By using rhombus property, we calculate the all required angles.

Q: If DE 4w - 90 and DG = w, find the value of w in parallelogram EFGH. %3D W = Submit

A: Topic:- geometry

Q: of the followWing could not be side measures of ISOsceles triangle? (TEKS 6.8A,RC3, SS)

A: Given,          A isosceles triangle is shown below :

Q: 12. Find the length of DH and HE in the parallelogram DEFG given DH = y +4, HF = 3x – 6, GH = 4y,…

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Q: If ON=7x-5, LM = 6x + 3, NM =x-4, and OL = 2y + 5, ind the values of x and y given that LMNO is a…

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Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

A:

Q: Find a positive angle less than 2n that is coterminal with the given angle. 13x 3

A: Find a positive angle less than 2π that is Coterminal with the given angle 13π3

Q: 2. In the trapezoid ABCD point E is the point of intersection of diagonals AC and BD. If AC=14,…

A: In the given trapezoid ABCD, two diagonals AC and BD intersect each other at point E.  The diagram…

Q: In triangle XYZ, ZA is the angle bisector of angle Z XA = 4, YA = 6, and YZ = 12. Find the %3D…

A:

Q: Show that the two triangles are similar. Q P and ZN Z Nv, so ALvQ AMNP QLN QNL MPN MNP NMP

A: Two triangles △LNW and △MNP are shown in the figure given in the problem. From the figure, LQ||MP…

Q: 3. Show that if A = 3a, + 2a, – a, B = 4a, – 8a, – 4a, and C = 7ax – 6a, – 5a,, then A, B and C form…

A:

Q: Consider ABCD, with A (-4, 4), B (1,6), C (–1, 1). and D( 6, 1). ABCD Is a parallelogram. Show that…

A: We know that, the diagonals of a parallelogram bisect each other at right angles. Therefore, mid…

Q: 12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and. JL = 8x + 35, find x and…

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Q: 7. In the Interplatoon competition, the first squad which will take the map reading examination is…

A: Given problem is solved below in detail.

Q: ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In a triangle XYZ, which is right angled at Y, find the side length of YZ, if XY = 5 cm and zC = 30°…

A: Given: XY=5 cm ∠C=30°

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

A:

Q: Let z=x+iy  Let w=a+ib

A: To prove the equality of the two given angles

Q: .In AWXY, if ZX = ZY , WX = 9x – 11, XY = 4x + 1, and WY = 7x- 3, find x and the each side. measure…

A: Given that &lt;X = &lt;Y , so the opposite sides of them are equal.  WX=WY Or, 9x-11=7x-3 Or,…

Q: 1- The angle between the two planes 4y – 4x = 8, and 3y – 15x – 12 = 0 is A: 0° B: 45° C:84° D:34°

A: we have to find the angle between the two given planes

Q: Determine the other two sides of the triangle ABC, where: c = 3.25 m, A = 113°, B = 28° %3D %3D O…

A:

Q: B E D Which pair of triangles can be established to be congruent to prove that 2DAB = ¿BCD?

A: Two triangle are said to be similar by side Angle side method

Q: Given that C is midpoint of AB, if A(-2,4) and C(3,-6), what are the coordinates of B

A: To find the coordinates of B

Q: Show that the two triangles are similar. Q P and ZN INV, so ALNQ AMNP. QLN QNL MPN MNP NMP IN

A:

Q: If HK = u + 28 and JK = 5u, find the value of u in parallelogram GHIJ. %3D %3D K H. U = Submit

A: in the given parallelogram GHIJ diagonals intersect at K HK = u +28 JK = 5u

Q: If AC = 32, h = 19 and C = 41°, find LAB %3D %3D %3D D. 32

A:

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: ABCD is a rectangle. a. If AB = 12, BC = 5 and AC= 13, find DC, AD and DB. b. If 21 = 35°, find…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Let ABC be a triangle and let P be a point inside. Let X, Y, Z be the intersections of AP, BP, CP…

A: Using Ceva's Theorem:     CXXB·BZZA·AYYC=1 ⇒CX·BZ·AY=XB·ZA·YC

Q: Let a and b be lengths of legs and let c be the length of the hypotenuse of a right triangle. Prove…

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Q: The triangle with vertices R(- 2,3), S(2, – 1), and T(4,5) is shown to the right. The lengths of the…

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Q: If JU| = 30, JA| = 19, |B| = 11, and |(A U B)'l. = 4 find |A N B|. %3D %3D %3D %3D A B

A:

Q: 6a, YZ = 7a-3, XW=a, and WZ= a+

A: It is given that, In triangle XYZ, YW bisects angle XYZ

Q: 8. Determine the following for Parallelogram ABCD if MZBCD =118°, DC - 26 cm, BC 30 cm, AD x+2, AB…

A: We have to find the term

Q: In AXYZ, mzY = 48, and mzX < mzY. Write the sides of the triangle (XY, YZ, and XZ) in order from…

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Q: Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment…

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Q: Show that the two triangles are similar. Q P v and ZN so ALNQ AMNP.

A:

Q: 1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By…

A: As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

Q: In the given figure, X and Y are centres of two intersecting equal circles. If XY = AB, prove that…

A:

Q: Find m<2, if line segment TP is the angle bisector. Gnzl = 6x-2 and m/2 = 4x+ 18. %3D %3D Find m/2.

A: Given,         The line segment TP is the angle bisector.         ∠1 = 6x - 2 and        ∠2 = 4x +…

Q: The vertices of ARST are R(6,-1), S(1,-4), and T(-5,6). Prove that ARST is a right triangle. Work:…

A: