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Line segment BC is tangent to circle O at point M and M is the midpoint of BC. If ABCD is a square and if line segment AB has length 14 , what is the length of line segment AX?  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  / REALSCIENCENOU  71 205 0880  \nQuestion 1  \nIn the diagram above, circle O has a diameter of 20. Line segment BC is tangent to circle O at point M and M is the midpoint of BC. If ABCD is a square and if line segment AB has length 14 , what is the length of line segment AX?  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  \n/ REALSCIENCENOU  71 205 0880  \nQuestion 2  \nIf j and k are positive integers and j > k and both j and k are divisible by 2 , 3 , and 5 , then the quantity (j –k) must be greaterthanorequalto:  \n(A) 15  \n( B) 30  \n( C) 45  \n( D) 60  \n( E) 65  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  \n/ REALSCIENCENOU  71 205 0880  \nQuestion 2  \nIf j and k are positive integers and j > k and both j and k are divisible by 2 , 3 , and 5 , then the quantity (j –k) must be greaterthanorequalto:  \n(A) 15  \n( B) 30  \n( C) 45  \n( D) 60  \n( E) 65  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  / REALSCIENCENOU  71 205 0880  \nQuestion 3  \nA flag is in the shape of a right-angled triangles, as shown, with the horizontal and vertical sides being of length 72 cm and 24 cm respectively. The flag is divided into 6 vertical stripes of equal width.  \nWhat, in cm2 , is the difference between the areas of any two adjacent stripes?  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  / REALSCIENCENOU  71 205 0880  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  / REALSCIENCENOU  71 205 0880  \nQuestion 4  \nSolve the system:  \n􀁌+􀁍 + 􀁎+􀁍 − 􀁌+􀁎 = 1 􀁏+􀁐 􀁑+􀁐 􀁏+􀁑  \n􀁌+􀁍 􀁎􀁍 􀁌+􀁎 + = 1 􀁏+􀁐 􀁑+􀁐 􀁏+􀁑  \n􀁌+􀁍 􀁎+􀁍 􀁌+􀁎− + + = 1  \n􀁏+􀁐 􀁑+􀁐 􀁏+􀁑  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  / REALSCIENCENOU  71 205 0880  \nQuestion 5  \nThe curvey = 2x2intersects equilateral triangle ABC at vertex A and at vertex B. If point A is at the origin (0 , 0) , what is the area of the triangle?  \nУЧЕБНЫЙ ЦЕНТР REAL SCIENCE | MOCK EXAM  / REALSCIENCENOU  71 205 0880  \nQuestion 5  \nThe curvey = 2x2intersects equilateral triangle ABC at vertex A and at vertex B. If point A is at the origin (0 , 0) , what is the area of the triangle?","cbCaioA3YDz795d3","https://ap.wps.com/l/cbCaioA3YDz795d3","pdf",3665177,"English","# Question 1\n## Circle tangent and square geometry\n# Question 2\n## Divisibility and minimum difference\n# Question 3\n## Area difference between adjacent stripes\n# Question 4\n## Solve a system of equations\n# Question 5\n## Area of an equilateral triangle from a curve intersection","[{\"question\":\"What is asked in Question 1 about the circle, tangent line, and square?\",\"answer\":\"Determine the length of segment AX based on a circle with diameter 20, a tangent at M, and a square ABCD with AB = 14.\"},{\"question\":\"How is Question 2 constrained, and what is the target value?\",\"answer\":\"j and k are positive integers divisible by 2, 3, and 5 with j \\u003e k; find the minimum possible value of (j − k) among the given choices.\"},{\"question\":\"What does Question 4 require?\",\"answer\":\"Solve the provided system of equations to find the unknown values that satisfy both lines.\"}]","LIVE MOCK EXAM 04.06.2023 - Geometry and Algebra Practice Questions | PDF",48]