In the diagram below of triangle JKL, M is the midpoint of JL and N is the midpoint of KL. If MZLJK = 125 – 2x, and mZLMN = 3x + 105, what is the measure of ZLMN? L N M K J

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 GHI, J is the midpoint of GI and K is the midpoint of HI .If JK =…

A: The answer is found in step-2

Q: Find the length of the cardioid r=4+4cosθ

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Q: In the diagram below of triangle BCD, E is a midpoint of BC and F is a midpoint of CD. If EF – 44 –…

A: We have to find the side

Q: In the diagram below of triangle GHJ, K is a midpoint of GH and L is a midpoint of HJ. If KL = 43 –…

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

Q: In the diagram below of triangle EFG, H is the midpoint of EG and I is the midpoint of FG .If mZGFE…

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

A: We have, L is a midpoint of HJ and M is a midpoint of JK LM = 71-9x and HK = 23-x To evaluate : the…

Q: In the diagram below of triangle STU, V is the midpoint of SU and W is the midpoint of TU. If VW =…

A: As W is midpoint of UT  and V is midpoint of US.   as per midsegment theorem. ST=2*VW

Q: In the diagram below of triangle GHI,J is the midpoint of GI and K is the midpoint of HI.IFJK =…

A: As J and K are midpoints of GI and HI, and ∠GIH is common angle , we can say that : △GIH≅△JIK.…

Q: The perimeter of triangle ABC is 40 cm. The length of segment BZ is 8 cm and the length of segment…

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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 : 3x…

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Q: In trapezoid ABCD with median EF, DC= x + 2, AB= 3x – 6 and EF=20. Find the value of x.

A: Given data: The first given length is DC=x+2. The second given length is AB=3x-6. The third given…

Q: In the diagram below of triangle K mi midpoint of LM. If NO = 3+7x, and KL= 4x + 16, what is the…

A: According to the triangle midsegment theorem, a midsegment connecting two sides of a triangle is…

Q: In the diagram below of triangle BC'D, E is a midpoint of BC and F is a midpoint of CD. If EF = 8x –…

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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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Q: In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint of UV.If W X = 10 –…

A: To find: The measure of WX. Given: The measures are WX=10-2x and TV=21-5x . Concept used: Mid point…

Q: In the accompanying diagram, CD//EF, AB is a transversal, mZDGH = 2x, and MZFHB = 5x - 51. Find the…

A: topic - lines and angles

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: In the diagram below of triangle IJK, L is the midpoint of I K and M is the midpoint of JK. If mZKIJ…

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Q: In the diagram below of triangle LMN,O is the midpoint of LN and P is the midpoint of MN .IFOP= –4+…

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Q: In the diagram below of triangle MNO, P is the midpoint of MO and Q is the midpoint of NO. If PQ =…

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Q: In the diagram below of ARST, LM||ST.If RL=2, LS=6, LM=4, and ST=x+2, what is the length of ST? M R…

A: Given ∆RST & RLMSince LM¯ ∥ SI¯

Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If MZJHF =7x…

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Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If mZHJF =…

A: We have to find measure of angle HJF.

Q: 14. In AKLM, if ZK = ZL, KL = 9x – 40, LM = 7x – 37, and KM = 3x + 23, find x and the measure of…

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

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

Q: In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x- 1) m. What are the…

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Q: In the diagram below of triangle PQR, S is a midpoint of PQ and T is a midpoint of QR. If mZSTQ = 65…

A: solution: the objective is to find required angle

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 <X = <Y , so the opposite sides of them are equal.  WX=WY Or, 9x-11=7x-3 Or,…

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

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Q: D, E, and F are midpoints of the sides of AABC. Given: DE = 15.5 EF= 17.5 BC=29 DF= 2x-1 Find the…

A: By mid point theorem ,  DE, EF , and DF are half of the sides AC , AB and BC respectively.

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

A: In a triangle RST, U is the midpoint of RT and V is the midpoint of ST.UV=29-3x and RS=-2+6xwe have…

Q: In the diagram below of triangle NPQ, R is a midpoint of NP and S is a midpoint of PQ. If mZRSP: 5х…

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Q: In the diagram below of triangle QRS,T is a midpoint of QR and U is a midpoint 80 – 8x, and QS = 104…

A: Explanation of the answer is as follows

Q: In the diagram below of triangle STU,V is a midpoint of ST and W is a midpoint of TU. If MZWVT = 90…

A: Given, V is midpoint of ST. W is midpoint of TU. According to given, VW || SU

Q: 11 2 P 5. d. F N Q 7 6. If triangles DEF and N PQ are similar, what is the length of side

A: If two triangles are similar the ratio of the length of the corresponding sides are equal. consider…

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: 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.

Q: Right APOR has mZQ= 30°, and QR = 15. 30° 15 P. R The length of side PR is The length of side PQ is

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

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: We have to find the measure of CE.

Q: 8. If LOVE is an isosceles trapezoid and mzLOV = 2x +30 and LLEV = 50, find the value of x. A. 30 B.…

A: To Determine: find the value of x. Given: if LOVE is an isosceles trapezoid and m∠LOV=2x+30 and…

Q: In the diagram below of triangle OPQ, R is the midpoint of OQ and S is the midpoint of PQ. If RS =…

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Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If MZJHF = 7x…

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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 =…

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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 m/Y XV = 3x…

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Q: In triangle ABC, line t is drawn through vertex A in such a way that t || BC. a) Which pairs of Zs…

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

Q: In the diagram below of triangle STU,V is a midpoint of ST and W is a midpoint of TU. If VW = 25 –…

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Q: In the diagram below of triangle PQR, S is the midpoint of bar(PR) and T is the midpoint of bar…

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Q: A B M "The length of the median of a trapezoid is one-half the sum of the lengths of the D C two…

A: If two lines intersect each other, then the vertically opposite angles are equal. Alternate interior…