The values of x and y are 45 and 8.
<h3>What is a Linear Pair of Angles?</h3>
When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.
Given:
Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.
As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.
To determine the values of x and y we equate the given angles to 90°.
2x = 90°
⇒ x = 45
And 11y+2 = 90°
⇒ 11y = 90-2 = 88
⇒ y = 8
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Answer:
5/ 19 ≈ 0.26 = 26%
Step-by-step explanation:
given: student is female. there is a 100% chance that the student is female
probability we want = (favorable outcomes) / (total outcomes)
total outcomes = 19 because there are 19 female students and the student must be female
favorable outcomes = 19 - 14 = 5 females who do not have an A in the class
probability = 5/ 19 ≈ 0.26 = 26%
Answer:
there are<em><u> 28.3495 grams in one single ounce </u></em>
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Answer:
12
Step-by-step explanation:
diameter is just radius times 2
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The distance from Ship B to the signal fire at point C is 
Explanation:
It is given that two ships A and B are at a distance 140 ft from each other.
The angle formed by ship A is 82º and the angle formed by ship B is 78º.
To determine the distance from ship B to the signal fire at point C, we need to know the another angle.
Hence, we have,
Now, we shall solve the problem using the law of sines,
Substituting the values, we have,
Simplifying, we get,
Thus, the distance from Ship B to the signal fire at point C is
