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alexgriva [62]
4 years ago
14

If two angles are complementary and one angle measures 89, what is the measure of the other angle?

Mathematics
1 answer:
Misha Larkins [42]4 years ago
6 0
Complimentary means they add up to 90

x is the angle we're looking for

x + 89 = 90

Subtract 81

x = 90 - 89

x = 1

A is the correct answer.
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egoroff_w [7]
There are different formulas for calculating the two types of compound events: Say A and B are two events, then for mutually exclusive events: P(A or B) = P (A) + P(B). For mutually inclusive events, P (A or B) = P(A) + P(B) - P(A and B).
5 0
4 years ago
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A right triangle has side lengths 7, 24, and 25 as shown below.
Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0
4 years ago
Which point does not lie on the circle centered at (3,2) with radius 5
patriot [66]

The point which does not lie on the circle centered at (3,2) with radius 5 is given below.

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, 2) and r = 5,

hence

(x - 3)² + (y - 2)² = 25 ← equation of circle

If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.Substitute the coordinates of the points into the left side of the equation of the circle and check validity.

1

(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle

2

(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle

3

(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle

4

(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle

6 0
4 years ago
What is a simplest way to find out x
konstantin123 [22]

Answer:

You should start with a simple equation. And remember- practice makes perfect.

The basic algebraic equation involves simple addition or subtraction with one unknown quantity, such as 2 + x = 7.

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2. Simplify the equation by doing the math: 2-2+x=7-2=0+x=5, or x = 5.

3. Check your work by substituting the answer, 5, into the equation for x.

The correct answer is x=5.




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