NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
Answer: (7 + d) 4 and 4 (7 + d)
Step-by-step explanation:
<em>4 (d + 7) = 4d + 28</em>
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(7 + d) 4 = 28 + 4d (flipped version of 4d + 28)
4 (7 + d) = 28 + 4d (the same)
Owner would lose out on $100
Answer:
x=2 or x=−6
Step-by-step explanation: