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2 years ago

Define parallel lines.

Mathematics

2 answers:

erastova [34]2 years ago

8 0

The Correct answer is B) Lines in same plane never intersect

Stella [2.4K]2 years ago

3 0

The correct answer is B. Parallel lines are lines in the same plane that never intersect.

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RSB [31]

Answer:

Your answer is the second option: y= -1/4x + 11/16

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Dennis_Churaev [7]

Answer:

<em>~ m∠1 = 35 degrees ( ° ) ~</em>

Step-by-step explanation:

1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.

2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.

3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ <em>m∠1 = 180 - 145 = 35 degrees ( ° )</em>

4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.

5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1

6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such ⇒ m∠2 = 145°, and m∠3 = 35°

7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ <em>360 = 360</em>

8. <em>This proves that the m∠1 = 35 degrees ( ° )</em>

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Step-by-step explanation:

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<h3>Answer:</h3>

$\large\boxed{C).\,13.5\%}$

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

Probability of it being cloudy is 30%
Probability of it raining is 25% (this is necessarily not needed)
If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

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$0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}$

Your answer would be C). 13.5%

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

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