In the diagram below of triangle HJK,L is a midpoint of H J and M is a midpoint of JK. If LM = 71 – 9x, and | HK = 23 – x, what is the measure of - LM? J M H K

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

Q: The pentagons JKLMN and PQRST are similar. Find the length x of QR. 6. 3.2 M K 4.8 3. 3.2 4.8 T. 3.…

A: Here, the pentagons are similar. Therefore, the ratios of the corresponding sides are same.

Q: In the diagram below of triangle GHJ, K is a midpoint of \overline{GH}GH and LL is a midpoint of…

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Q: Show that the two triangles are similar. Y 85 X/45° 50° W v and ZYZX V. so AXYZ AUYW.

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A: Here we have to calculate lenth of vc ,

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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: # 3. If the distance between (a, ab) and (ab + a, ab + b) is 26 (b + 0), then what is the value(s)…

A: →Distance formula:   Let P(x1,y1) and Qx2,y2 be two points. Then distance between point P and Q is…

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Q: Show that the distance betwesn the paintfixgyt and the live axtby C=0 is %D Ja?+b?

A: As per as our guideline i am supposed to answer only 1 question please repost remaining questions.

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Q: 4. In circle O, chords PQ and RS intersect at T such that mPR= 42°, mRQ = 66°, and mQS =168°. Which…

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Q: 9. Given: E is the midpoint of AB and CD Prove: Δ4ΕC ΔΒED

A: In the given figure - E is the mid point of AB and CD. Then,AE = BECE = DE

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Q: B Given BD = CD, E is the midpoint of BC

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Q: 6. ABCD is a trapezoid with median MN. If DC = 3x, AB = 2x2, and EF = 7, find x. M E A

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Q: 8. If J is the midpoint of segment HK what is the value of HK? * H 9x-2 4x+13 K

A: Since J is the midpoint of JK HJ=JK 9X-2=4x+13 5x=15 x=3

Q: In AGHI, Gl is extended through point I to point J, mZIGH = (x + 16)°, mZHIJ = (4x – 12)°, anc m/GHI…

A: The explanation of the solution as follows:

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Q: If ED is tangent to circle H, find the value of x. H E 45° 147° A. x = 6 (7x 5) В. х %3D 7 C. x = 8…

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

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Q: In the diagram below of triangle K LM, N is a midpoint of KL and P is a midpoin of LM. If NP = x +6,…

A: We have to find NP

Q: Consider he eayualion ofa cinca rxay=ty4-0o. the line nu-ytaco Then find the value of a. is its…

A: Use Equation of circle

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: 3. In the diagram below, D lies on side AC such that BD is a median of the triangle. Which of the…

A: topic - triangles The figure of the triangle is given. It is also given that BD¯ is the median of…

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Q: In the diagram below of triangle CDE, F is a midpoint of CD and G is a midpoint of DE. If FG = 57 –…

A: Given F is midpoint of CD¯G is midpoint of DE¯FG = 57-9xCE= 29-x

Q: Use A GHJ, where D, E, and Fare midpoints of the sides. D If HJ = &x – 2 and DF = 2x + 11, what is…

A: Question:- Use triangle GHJ, where D, E, and Fare midpoints of the sides. If HJ = 8x - 2 and DF = 2x…

Q: Given the triangles at the right, which of the following can you conclude are true?

A: In triangle DEF,DE = DF = 8 cmThen,∠E = ∠F                     Angle opposite to equal sides are…

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Q: The pentagons JKLMN and PORST are similar. Find the length x of RS. 4 N 6.4 T 6.4 3 4.8 K 8

A: For similar polygons, the ratio of their corresponding sides are equal.

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

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A: As we know diagonals of a parallelogram bisect each other.hence,

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

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

Q: For what values of a is the distance between P(a, 3) and Q(5, 2a) greater than v26?

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A: Our Aim is to find the coordinates of A.

Q: 3. If F, G. and H are the midpoints of the sides of AJKL, FG = 37. KL = 48, and GH = 30, find each…

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Q: In the diagram below of triangle J KL, M is a midpoint of JK and N is a midpoint of KL. If mZNMK =…

A: From given data ,on solving we get

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Q: F is the measure of ZDGH? 5.

A: Given ,  The diagonals of square DEFG intersect at point H We hace to the measure of ∠DGH