Problem 1E: Note: Exercises preceded by an asterisk are of a more challenging nature.... Problem 2E: Note: Exercises preceded by an asterisk are of a more challenging nature. Given: OC=8andOE=6OECDinO... Problem 3E: Note: Exercises preceded by an asterisk are of a more challenging nature. Given: OVRSinOOV=9andOT=6... Problem 4E: Note: Exercises preceded by an asterisk are of a more challenging nature.... Problem 5E: Sketch two circles that have: a No common tangents b Exactly two common tangents c Exactly three... Problem 6E: Two congruent intersecting circles B and D not shown have a line segment of centers BD and a common... Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E: For Exercises 17 to 20. See Theorem 6.3.6. Given: AB=6,BC=8,AE=15 Find: DE. Problem 18E: For Exercises 17 to 2, See Theorem 6.3.6. Given: AC=12,AB=6,AE=14 Find: AD. Problem 19E Problem 20E: For Exercises 17 to 2, See Theorem 6.3.6. Given: AB=5,BC=6,AD=6 Find: AE. Problem 21E Problem 22E: In the figure for Exercises 21 to 24,RS is tangent to the circle at S. See Theorem 6.3.7. Given:... Problem 23E: In the figure for Exercises 21 to 24,RS is tangent to the circle at S. See Theorem 6.3.7. Given:... Problem 24E Problem 25E: For the two circles in figures a, b, and c, find the total number of common tangents internal and... Problem 26E: For the two circles in figures a, b, and c, find the total number of common tangents internal and... Problem 27E: In Exercises 27 to 30, provide a paragraph proof. Given:OandQ are tangent at point F Secant ACtoO... Problem 28E Problem 29E: In Exercises 27 to 30, provide a paragraph proof. Given: Quadrilateral ABCD is circumscribed about O... Problem 30E Problem 31E: Does it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding... Problem 32E Problem 33E: The cylindrical brush on a vacuum cleaner is powered by an electric motor. In the figure, the drive... Problem 34E Problem 35E: Given: Tangents AB,BC,andACtoO at points M, N, and P, respectively. AB=14,BC=16,AC=12 Find: AM, PC,... Problem 36E: Given: Q is inscribed in isosceles right RST. The perimeter of RST is 8+42 Find: TM Problem 37E: Given: AB is an external tangent to O and Q at points A and B; radii lengths for O and Q are 4 and... Problem 38E Problem 39E: The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of... Problem 40E: Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible,... Problem 41E Problem 42E Problem 43E Problem 44E: If the larger gear has 30 teeth and smaller gear has 18 then the gear ratio larger to smaller is... Problem 45E Problem 46E: In Exercises 46 to 49, prove the stated theorem. If a line is drawn through the center of a circle... Problem 47E Problem 48E Problem 49E Problem 50E format_list_bulleted