Pre-Calculus Homework Solutions 91

# Pre-Calculus Homework Solutions 91 - 48 B let x be the...

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48. B; let x be the measure of the first angle. Then the other angles have measure 3 x and x 1 25. x 1 3 x 1 x 1 25 5 ¬ 180 5 x 1 25 5 ¬ 180 5 x 5 ¬ 155 x 5 ¬ 31 3 x 5 ¬ 3(31) or 93 x 1 25 5 ¬ 31 1 25 or 56 Page 191 Maintain Your Skills 49. n AED is scalene because no two sides are congruent. 50. n AED is obtuse because m / AED . 90. m / AED 5 m / BEC ,so n BEC is obtuse. 51. n BEC is isosceles because E w B w > E w C w . 52. First, write an equation of a line p perpendicular to y 5 x 1 6 and y 5 x 2 10. The slope of p is the opposite reciprocal of 1, or 2 1. Use the y -intercept of y 5 x 1 6, (0, 6), as one of the endpoints of the perpendicular segment. y 2 y 1 5 ¬ m ( x 2 x 1 ) y 2 6 5 ¬ 2 1( x 2 0) y 2 6 5 ¬ 2 x y 5 ¬ 2 x 1 6 Next, use a system of equations to determine the point of intersection of line y 5 x 2 10 and p . x 2 10 5 ¬ 2 x 1 6 2 x 5 ¬ 16 x 5 ¬ 8 y 5 8 2 10 y 52 2 The point of intersection is (8, 2 2). Then, use the Distance Formula to determine the
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