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Pre-Calculus Homework Solutions 200

# Pre-Calculus Homework Solutions 200 - 24 d c 60 30 6 e...

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24. The diagonals determine equilateral triangles with sides equal to half the length of each diagonal, or 6 inches. So e f 6, and e f 3. Then a 3( e ) or 3 3, so c d 3 3. Then the perimeter of the rectangle is 2(6) 2(3 3 3 3) or 12 12 3 32.78 inches. 25. Each side has measure 25 4 6 or 8. The length of a diagonal is 2 times as long as a side of the square. So the measure of a diagonal is 8 2 11.31. 26. 8 2 x 4 x y 3( x ) y 3(4) or 4 3 z 6 Each leg of the 45°-45°-90° triangle has length x , or 4. Then CB 4 2. So, the perimeter of ABCD is 4 3 6 4 4 2 6 8 4 3 4 2 24, or about 36.59 units. 27. Graph A and B . AB lies on a horizontal gridline of the coordinate plane. Since PB will be perpendicular to AB , it lies on a vertical gridline. AB 4 ( 3) 7 AB and PB are congruent, so PB 7. Point P has the same x -coordinate as B . P is located 7 units above B . So, the coordinates of P are (4, 1 7) or (4, 8). 28. Graph G and H . If GH is the diagonal of a square with vertices P , G , and H then the other diagonal is perpendicular to and bisects GH . GH lies on a
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