In AABC, D is the midpoint of AB and E is the midpoint of BC. If AC = 3x – 15 and DE = 6, what is the value of x? B E A

Q: The midpoint of AB is at (2, 5). If A = (8, 8), find B. B is:(

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Q: M C In AABC, M is the midpoint of AB and N is the midpoint of AC. If MN 7.6 cm, find BC.

A: We knw that in a triangle by mid point theorem the line segment joining midpoint of two sides of the…

Q: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE AC.…

A: In △ABC,point D and E are on sides AB and CB respectively,such that DE∥AC       If EB is 3 more…

Q: In the diagram below, if Bis the midpoint of AD and AB= 11, find AD. %3D А D 15 О 25 O 22 O 11

A: If B is the midpoint of the line AC , then AC =2 AB or AC =2BC.

Q: In the diagram below of triangle PQR, S is a midpoint of PQ and T is a midpoint of QR. If ST = 95 –…

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Q: In the diagram of AUVW below, A is the midpoint of UV, B is the midpoint of UW, C is the midpoint of…

A: Here we have to calculate lenth of vc ,

Q: C В A In the figure above AB = 4x +6 and BC = 7x + 15. If AC 120, find the length of segment AB. %3D…

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Q: Given the points A(4, 6), B(r, 7), C(6, s). If B is the midpoint of AC, find the value of rand the…

A: Given: The points are A-4, 6, Br, 7 and C6, s. The midpoint of two points a, b and c, d is a+c2,…

Q: Given: D is the midpoint of AC АС — ВС A CD 2х + 5 ВС — х + 28 Find: АС

A: Given: D is the midpoint of AC. AC=BC CD=2x+5 BC=x+28

Q: in the figure below, allbllcand B is the midpoint of AC and E is the midpoint of DF. If B = 2x + 3y,…

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Q: In the diagram below of triangle MNP, Q is a midpoint of MN and Ris a midpoint of NP. If QR = 76 –…

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Q: Show that the area of a triangle

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Q: brianly ABC, D is a midpoint of AB and E is a midpoint of BC. if DE = 64 - 7x and AC = 48 - 4x what…

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Q: Given E is the midpoint of AB Es the midpoint of CD Prove: AAEC ABED D. C. STATEMENT REASON

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Q: P and Q are the midpoints of AI and IR, respectively. Use the properties of midsegments to find the…

A: It is given that, P and Q are the midpoints of AI and IR,respectively.By using the properties of…

Q: In the figure below, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC.…

A: We have to find the perimeter of ∆ABC from figure,

Q: In parallelogram ABCD, Eis the midpoint of AC. B E D Which of the following are true? Choose all…

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Q: In the figure, AB = DE and C is the midpoint of both AD and BE . E A. B Prove AABC = ADEC

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Q: In the diagram below of triangle JKL, M is a midpoint of JK and N is a midpo of KL. If M N = 2x +…

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Q: In the diagram below of triangle GHJ,K is a midpoint of GH and L is a midpoint of H J. If KL = 7x –…

A: Given : K is the midpoint of GH and  L is the midpoint of HJ. KL = 7x-28GJ = 34-x

Q: 22. In triangle ABC below, D Is the midpoint of BC. 83 B. D. Which of the following is true? A. AB…

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Q: GIVEN AE = CE, AB = CD, E is the midpoint of BD. PROVE AEAB = AECD C A. %23 E B.

A: Plan :  We know that, if the three sides of two triangles are congruent then the triangles are…

Q: 1. Using the law of cosines prove that 4m =2(b²+c?)-a², where ma is the length of the median…

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Q: In the diagram below, if B is the midpoint of AD, which segment is congruent to AB ? 10 D A O BD DA…

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Q: In the diagram below of triangle HJK,L is a midpoint of H J and M is a midpoint of JK. If LM = 71 –…

A: Explanation of the answer is as follows

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If W X = 26 –…

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Q: . In AABC, AB = 8, BC = 10, and AC = 12. M is the midpoint of AB, %3D and N is the midpoint of BC.…

A: Given that, in △ABC, AB=8, BC=10 and AC = 12. Also it is given that, M is the midpoint of AB and N…

Q: For 2 and 3, D is the midpoint of ABand E is the midpoint of BC 2. If AD =7, find DB

A: Given Data: The point D is the midpoint of AB. The point E is the midpoint of BC. 2. The length of…

Q: The midpoint of AB is at (−3,−2). If ?=(−10,−7), find ?

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Q: Malaki constructed CG parallel to AB through point C. B G A E Which of the following statements best…

A: Given that, Malaki constructed CG¯ parallel to AB¯ through point C.

Q: In ARST, the measure of ZT=90°, RS = 4.8 feet, and ST = 2.4 feet. Find of ZR to the nearest degree.…

A: Explanation and solutions is given below.....

Q: In the diagram below of AACT, D is the midpoint of AC, O is the midpoint at AT, and G is the…

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Q: The midpoint of AB is at (2,5). If A=(7,0) find B

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Q: In the diagram below, OQ = 25, PM = 9, and QN = 15. Find the length of OP. %3D %3D Round your answer…

A: We have to solve

Q: In the diagram of the light tower below, AEFJ is an isosceles trapezoid. C and H are mid…

A: Here we have AEFG is an isosceles trapezoid. C and H are mid points and D and G are also mid points.…

Q: A hot air balloon is fixed to the ground at point F and G by two ropes. If FBG is 86°, how far apart…

A: Cosine law of triangle

Q: In the diagram below of triangle KLM, N is the midpoint of KM and O is the midpoint of LM . If NO =…

A: Use similar triangle property

Q: In the diagram below of triangle RST, U is the midpoint of RT and V is the midpoint of ST . If mZT…

A: Triangle Question

Q: ABC is a right-angled triangle with the right at B. The altitude BD touch AC at D. Prove that BD2…

A: Use the similar triangles properties and equate the ratio of corresponding sides.

Q: in the figure below, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC.…

A: In the picture, in the triangle ABC, we have, AC = 2DE,  AB = 2EF, &, &, BC = 2BE

Q: Given B is midpoint of AC, what is the distance of AC? 20x- 12 14-6x C

A: Given B is mid point of ACand , AB = 20x -12    & BC = 14-6xTo find , distance AC

Q: Given: Diagram as shown ZPRS ZSRQ PS -6 sQ-8 PR 15 Find: QR (Justify your work.)

A: According to the Angle Bisector Theorem, an angle bisector of a triangle will split the opposite…

Q: Where P is the perimeter of a triangle whose inscribed circle has radius length r, the area of the…

A: Where P is the perimeter of a triangle whose inscribed circle has radius length r,the area of the…

Q: Given: LBAC LBCA, M and N are midpoints of AB and CB, respectively Show: LAMC LCNA M.

A: Given  ∠BAC≅∠BCA M and N are midpoints of AB and CB , this implies  AM=MBCN=NB To show: ∠AMC≅ ∠CNA…

Q: Given AB is tangent to OC at point B, what is the circunference of OC? (2r – 1) A (r+ 1) r

A: Consider the given: The tangent touches the circle at the point of contact and it is perpendicular…

Q: In isosceles trapezoid chle what is the value of c

A: Given:

Q: In AMCG, A and I are the midpoints of MG and GC, respectively. M. 1. If AI = 10, what is MC? 2. If…

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Q: 6. If APOR is an equilateral triangle, PQ = 18x + 1. QR=24x-17, and PR= 15x+ 10, find x and the…

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Q: In the diagram below of trapezoid RSUT, RS || TU, X is the midpoint of RT , and V is the midpoint of…

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Q: Given: E is the midpoint of AB and CD Prove: ΔΑEC - ΔΒED C

A: Given that: E is the mid point of AB and CD