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Wwwpetersonscom 284 chapter 16 example in the xy plane

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Unformatted text preview: cs, Data Analysis, and Probability 281 Exercise 2 Work out each problem. Circle the letter that appears before your answer. 1. The figure below shows a regular pentagon tangent to circle O at five points. 3. In the figure below, C lies on the circumference of a circle with center O and radius 6. If the perimeter of the pentagon is 10, what is the length of AP ? If m∠BOA = 90° and OA ≅ OB , what is the perimeter of ∆ABO ? (A) (B) (C) (D) (E) 4. 6 + 12 3 12 + 12 2 18 3 24 2 36 The figure below shows an equilateral triangle (∆ABC) tangent to circle O at three points. 2. In the figure below, AC is tangent to the circle at point B. The length of BD equals the diameter of the circle, whose center is O. If the perimeter of ∆ABC is 18, the area of circle O = (A) (B) (C) (D) (E) 2π 5π 2 2 2π 3π What is the degree measure of minor arc DE ? (A) 40 (B) 110 (C) 120 (D) 130 (E) 220 2π 3 www.petersons.com 282 Chapter 16 5. In the figure below, a circle with center O is tangent to AB at point D and tangent to AC at point C. If m∠A = 40°, then x = (A) 140 (B) 145 (C) 150 (D) 155 (E) It cannot be determined from the information given. www.petersons.com Additional Geometry Topics, Data Analysis, and Probability 283 3. EQUATIONS AND GRAPHS OF LINES IN THE XYPLANE You can define any line in the standard xy-coordinate plane by the equation y = mx + b. In this equation, m is the slope of the line, b is the line’s y-intercept (where the line crosses the y axis), and x and y are the coordinates of any point on the line. (Any (x,y) pair defining a point on the line can substitute for the variables x and y.) You can determine the slope of a line from any two pairs of (x,y) coordinates. In general, if (x1,y1) and (x2,y2) lie on the same line, calculate the line’s slope as follows (notice that you can subtract either pair from the other): slope (m) = y2 − y1 y −y or 1 2 x 2 − x1 x1 − x 2 Be careful to subtract corresponding values. For example, a careless test-taker calculating the slope might subtract y1 from y2 but...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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