In the diagram below of triangle NPQ, R is a midpoint of NP and S is a midpoint of PQ. If mZRSP: 5х + 6, and MZNQS = 96 – 4x, what is the measure of ZNQS? - R S N Q

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A: It is mid point theorem.

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A: The answer is found in step-2

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A: The diagonals of the isosceles trapezoid are equal.

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A: Use the concept of mid points theorem in a triangle and solve the problem.

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A:

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A: Given : KL = 43-4xGJ = 9x-50 K is the midpoint of GH L is the midpoint of HJ

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A: the diagonals of rhombus intersect each other at 90 degree angle.

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A:

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A: solution of the given problem is below...

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Q: In this triangle, mZQ = (5x – 2) ° and m/R = (96 – 3x) °. %3D What is the measure of ZP? m/P-

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A: Since the respective sides of two similar triangles are proportional therefore

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A:

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Q: What additional information would prove the triangles congruent by the hypotenuse-leg method? A F…

A: Given

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A: We have to find measure of angle HJF.

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A: Since M is the midpoint of LJ and N is the midpoint of LK.

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A:

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A: solution: the objective is to find required angle

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A: We have to find angle

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A: Given: m∠PTS=34° QS=10

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A: Explanation of the answer is as follows

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A:

Q: This is a 30-60-90 triangle. What is the measure of x? V3 x = [ ? ]

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A: Given: In triangle PQR, PR is extended through point R to point S. Concept Used: Exterior angle…

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

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Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VW. If mZY XV =…

A:

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Q: An isosceles trapezoid JKLM, leg JM=5x -10, base JK = 6x+2, and leg KL= 2x + 14.  find the value of…

A: Draw the isosceles trapezoid as per the given condition.

Q: In the diagram below of triangle JKL, M is the midpoint of JL and N is the midpoint of KL. If MN =…

A:

Q: The quadrilaterals ABCD and JKLM are similar. Find the length x of LM. J 4 2.4 D. 1.8 2. K 4.2 C 7 x…

A: Here ,     ABCD &amp; JKLM quadrilateral are                       similar so ratio of…

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A: a) Consider the given triangle ABC, The alternate angles can be defined as the angles that are in…

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A:

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A: given,