Find the measure of angle A in triangle ABC if the angle bisector of angle A intersects side BC at point D. Given that BD = 3x + 2 and CD = 5x + 4, and x = 7.
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Math question: Find the length of the hypotenuse of a right triangle given the lengths of the two legs are 5 and 12.
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What are the x and y components of the unit vector that is 60 degrees above the positive x-axis?