Consider trapezoid ABCD with AB || DC. M and N are midpoints of AD and BC, respectively. If AB = 12 and DC = 20, find MN. M a) О 19 b) O 16 c) O 23 d) 09 e) O 17

Q: 37. The vertices of a triangle are A(6,0), B(-1,4), and B(2,–3). What is the length of the altitude…

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Q: If is any angle, which expression represents an angle that is coterminal with ? nπ (a) 0 + 2 b) 0 nπ…

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Q: 10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint of MN.…

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Q: . In AOBC, A is the midpoint of side BC, D is a point on side OB where OD = 2DB. E is the point of…

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Q: Question 1 QE CA - {A, C}, RE AB- {B, A} such that AP, BQ, CR are concurrent. Let QR, RP, PQ meet…

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Q: Solve for X each Figure is a trapezoid

A: here the line LK is the middle line of the trapezoid so the length of LK is the mean of 10 and 16

Q: O D 6. If ADEF has the perpendicular bisectors DG, EH, and FI and circumcenter J, which statements…

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Q: Solve the lifference e9uation by usPng 人-nsPorm. + か))+98)2ucn)

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Q: 5. Find the measure of one exterior angle of a regular decagon. a) 36⁰° b) Hº c) 45° d) HH0° 6. If…

A: We need to solve polygon problem.

Q: A B E ) Which reason explains the congruency of these two triangles? A) AAA B) HL C) SAS Di SSS

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Q: For a positive real number x, where x° = 2, what is the value of x²4 ? A) 24 В) 4 С) 6 D) 8

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Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of…

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Q: 3) Which method would be used to show these triangles are similar? A. SAS" 12 В. АА" C. SSS- 8, D.…

A: Given-  To Find- Which method would be used to show these triangles are similar.

Q: 10. Which set of sides would make a right triangle? a) 5,10,12 b) 8,10,12 c) 4,5,6 d) 3,4,5 11. AJKL…

A: AA (or AAA) or Angle-Angle Similarity If any two angles of a triangle are equal to any two angles of…

Q: 24) 8x+ 10 D В) 3 D) 0 A) 10 C) 2 -

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Q: 6. 5 F 4 3 B. -8 -6 -5 -4 -3 -2 -1 -1 -2 L 2.

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Q: 3) Construct a square inscribed in a circle To construct a square inscribed in a circle: 1. Draw a…

A: Draw a circle with center O:

Q: 3. Let AABC be a right triangle with right angle C. Fix points D and E along AB such that AD = AC…

A: Given AD = AC Hence ∠ADC = ∠ACD = x (Assume) Given BE= BC Hence ∠BEC=∠BCE = y (Assume)

Q: △JKM∼△DCA . Which side of △DCA corresponds to side  JM  of  △JKM ? a) DC b) AD c) AC d) None of the…

A: Given that △JKM∼△DCA

Q: Prove that 8. V57 lies on the unit circle. 8.

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Q: Q8. Let ABC be a triangle in the E.G. Assume E, F points on AB. AC respectively such that…

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Q: 3. A, B, and C are collinear, with B between A and C. If AB =4x+9, BC = 5x+2, and AC= 56 , then find…

A: Given that A, B and C are collinear. B lies in between A and C. AB=4x+9, BC=5x+2 and AC=56