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Betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? ( In a 30-60-90 right triangle, the side opposite 30 is one half the length of the hypotenuse.)

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Find a counterexample to the statement "The square of a number added to the sum of the number and five is a prime number."

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Determine how many solutions exist: - Use either elimination or substitution to find the solutions (if any) - Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection: 2x + 3y = 8 and 3x + 2y = 7

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