510-07_C_Countdown.pdf

# 73 if the angles of a trapezoid form an arithmetic

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73. If the angles of a trapezoid form an arithmetic sequence and the smallest angle measures 60°, what is the measure of the largest angle, in degrees? 74. What is the length, in units, of the shortest possible diagonal of a rectangle with all integer side lengths and perimeter 26 units? Express your answer in simplest radical form. 75. When the value of y is doubled and then this increased value is divided by 5, the result is 10. What is the value of y ? 76. If x ² - 2 x = 0 and x ≠ 0, what is the value of x ? 77. For what value of x is the expression 3 2 2 3 20 100 x x x + + not defined? 78. What is the largest prime factor of (30 2 - 7 2 )? 79. How many cubic inches are in two-thirds of one cubic foot? 80. The side of a square is increased by 50%. By what percent is the area increased? 66. ________________ 67. ________________ 68. ________________ 69. ________________ 70. ________________ 71. ________________ 72. ________________ 73. ________________ 74. ________________ 75. ________________ 76. ________________ 77. ________________ 78. ________________ 79. ________________ 80. ________________
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• Spring '18
• Jack Smith
• Inch, ________________, MATHCOUNTS, Inc.

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