3 years ago

Determine which quadrant the point is in: (-2,-5) Quadrant

1 answer:

3 0

The point (-2,-5) is in the 3rd quadrant (the one on the bottom left - the numbering is weird) bc both the x-value & y-value are negative

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Montano1993 [528]

Answer:

See below for answers and explanations

Step-by-step explanation:

First, find the missing side using the Pythagorean Theorem:

c²=a²+b²

65²=a²+16²

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63=a

Therefore:

sinα = opposite/hypotenuse = 63/65

cosα = adjacent/hypotenuse = 16/65

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3 years ago

Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two ang

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Answer:

Angle GHI measures 56º, and angle JKL measures 34º.

Step-by-step explanation:

Complementary Angles:

If two angles are complementary, the sum of their measures is 90º.

∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.

Since they are complementary:

$5x + 6 + 3x + 4 = 90$

$8x + 10 = 90$

$8x = 90 - 10$

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$x = \frac{80}{8}$

$x = 10$

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

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