Pre-Calculus Homework Solutions 249

Pre-Calculus Homework Solutions 249 - 21. Opposite sides of...

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251 Chapter 8 21. Opposite sides of a parallelogram are congruent. Find x and y. y 1 2 x 5 ¬ 4 y 5 ¬ 2 2 x 1 4 5 y 2 2 x 5 ¬ 3 y 1 2 x 2 y 5 ¬ 4 x y 5 ¬ 2 x Find x . 2 x 5 ¬ 2 2 x 1 4 4 x 5 ¬ 4 x 5 ¬ 1 So, y 5 2(1) or 2. 22. Since the opposite sides of a parallelogram are parallel, there are two pairs of alternate interior angles formed by the diagonal of the parallelogram. Find x and y. 25 x 5 ¬ 100 x 5 ¬ 4 10 y 5 ¬ 40 y 5 ¬ 4 23. Since the opposite sides of a parallelogram are parallel, there are two pairs of alternate interior angles formed by the diagonal of the parallelogram. Find y in terms of x . } 1 2 } y 5 ¬ x 2 12 y 5 ¬ 2 x 2 24 Opposite angles of a parallelogram are congruent. Find another equation for y in terms of x . 3 y 2 4 5 ¬ 4 x 2 8 3 y 5 ¬ 4 x 2 4 y 5 ¬ } 4 3 } x 2 } 4 3 } Find x by setting the two expressions for y equal to each other } 4 3 } x 2 } 4 3 } 5 ¬ 2 x 2 24 } 6 3 8 } 5 ¬ } 2 3 } x 34 5 ¬ x So, y 5 2(34) 2 24 or 44. 24.
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