L, M, and N are the midpoints of the sides of APQR,PR = 46, PQ = 40, and LN = 17. Find the measure of MR. a) 23 b) 20 c) 34 d) 17

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A: Given:                  Length of AB= a,                  Length of BC=b;   Point M is the mid-point…

Q: For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C)…

A: Since, according to our guideline we have to answer only first question. I am answering first one.…

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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A: Given:

Q: he sides of each triangle in order from shortest to longest A. Q В. M 44 61 54 46 C. AABC, with mLA…

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Q: Show that the area of a triangle

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Q: O The points P and Q are the Sides AB||CD. located on AD and BC trape zium in such way that of the…

A: First we have to draw a figure of trapezium For finding the value of AD we have to Join BD.     In…

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

Q: |(p-q)(r-s) bc-ad

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Q: Show use of trigonometry to determine the size of angle ZPRQ in the triangle below, where 2QPR =…

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Q: 2. In the diagram shown of AACT,D is the midpoint of AC,0 is the midpoint of AT, and G is the…

A: We will apply foltlowing theorem in this problem  If in any triangle, the line joining the mid…

Q: The circumcenter of AHJK is point P. Point A lies on HJ and AP 1 HJ. If AP = 7 in. and KP = 23.6…

A: PA | HI, PK = 23.6 in, AP = 7 in P IS CIRCUMFRANCE

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: The diagonals of rectangle QRST intersect at P. Given that m/PTS = 34° and QS = 10 , find QP. 34°

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

Q: In the diagram of ANRQ below, SP||RQ, NS=3, SR=21, and PQ=63. What is the length of NQ?

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Q: If PQ is tangent to circle R at point Q, and PS is tangent to OR at point S, what is the perimeter…

A: Option B is the correct choice. Consider the illustrative figure below. From the figure,…

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mLW XU = 60…

A: Solution: The objective is to find the required angle

Q: D is the midpoint of AC, ED congruent to FD, angle EDA congruent to angle FDC. Prove AB congruent to…

A: Topic:- geometry

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mZW XU = 68…

A: as X and W are midpoints of UV and  UT respectively, line WX divides line UT and UV proportionally

Q: If V is the circumcenter of A PQR, PR = 46, TV = 15, and VR = 25, find each measure. %3D U R T

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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: In rhombus ABCD., diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the…

A: In Rhombus ABCD  diagonals AC and BD intersect at the point E.AE=5cm and BE=12 cm To find the length…

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A: Cosine law of triangle

Q: A. In AABC, Q, R, and S are the midpoints of segments BC, AC and AB, respectively. If AB = 30 cm, AC…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: If PR bisects ZSRT and U is the midpoint of RT, classify each triangle by its angles and sides. 15.…

A: The triangles are drawn in the figure given in the problem. 15. △UQR The sides and angles of △UQR,…

Q: Find the perimeter of a right trapezoid whose parallel sides measures 8cm and 11cm with one of the…

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Q: Given regular octagon RSTUVWXY with each side of length 4, find the length of diagonal RU. R Y W U V

A: Given, Side of regular hexagon is 4,

Q: In triangle QRS, T, U, and Bare midpoints. What are the lengths of TU , UB, and QR ? 30 T 50 B 40…

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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: If Tis the midpoint of SU, what are ST, TU, and SU? 6x 3x +27

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Q: A В 丰 E D 丰 C. Note: DB and AC are segments.

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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: In circle Z, if VZ = ZW, SV = 21, and mUT = 112', find each measure. a) UT = d) mXT = %3D b) WT = e)…

A: Use the properties of chord of circle and also perpendicular from centre to chords.

Q: In triangle ABC (not shown), M is the midpoint of AB and N is the midpoint of AC.   If MN = 3x – 11…

A: Given: A triangle ABC with M midpoint of AB and N a midpoint of AC. MN = 3x-11 and BC = 4x+24 To…

Q: a. ASA A D 十 B b. AAS E F B c. SSS F d. SAS %3 %23

A: (a) Given two triangles is:

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: If EF is perpendicular to AB, then what are the measures of ZCGF and ZBHE?

A: Given,           EF¯ is perpendicular to AB¯.

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…

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

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A: Given:

Q: In circle O, m.JM = 130°, and ZT 45°. %3D J N R M. What is the mNR?

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Q: Consider trapezoid ABCD with AB || DC. M and N are midpoints of AD and BC, respectively. If AB = 12…

A: Consider the trapezoid as shown in the question. Here, the objective is to find MN

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 a trapezoid EFGH where EF is parallel to HG, and EF = 12, HG = 22, find the length of MN if M…

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