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AlladinOne [14]
3 years ago
12

2 angles are complementary. One of the angles is 30 degrees. The other has a label of 5n + 20. What would "n" have to be?

Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

D

Step-by-step explanation:

complementary angle of 30°=60°

5n+20=60

5n=60-20

5n=40

n=40/5=8

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A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
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Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
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Answer:

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Step-by-step explanation:

* Lets revise how to make the completing square

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∴ x² + 8x - 33 = a(x² - 2hx + h²) + k ⇒ multiply the bracket by a

∴ x² + 8x - 33 = ax² - 2ahx + ah² + k ⇒ compare the two sides

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∴ x² + 8x - 33 = (x + 4)² - 49

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∵ (x + 4)² - 49 = 0 ⇒ add 49 to both sides

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∵ x + 4 = 7 ⇒ subtract 4 from both sides

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∵ x + 4 = -7 ⇒ subtract 4 from both sides

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