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SVEN [57.7K]
3 years ago
5

Given/

Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:  x = 7

Step-by-step explanation:  All the angles of a parallelogram add to 360°

Any two of the consecutive angles add to 180°

Using that information, we can create an equation with the angle measurements given:

(7x + 33) + (11x + 21) = 180 . Combine like terms:

7x + 11x + 33 + 21 =180

18x + 54 = 180 .  Subtract 54 from both sides

18x = 126   Divide both sides by 18

x = 7

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a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}

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