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3 years ago

Given the following information, determine which lines are parallel and what justifies them being parallel.

Mathematics

1 answer:

weeeeeb [17]3 years ago

4 0

Answers:

Blank 1 = p and r

Blank 2 = corresponding angles converse

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Explanation:

Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.

If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse

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3 years ago

Describe a transformation that could be used to show that alternate interior angles are congruent.

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Answer:

Step-by-step explanation:

From the picture attached,

Let 'l' be the original line having one angle ∠BAC.

If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.

Since, measure of angles are preserved in the translation,

m∠BDE = m∠BAC [corresponding angles]

Since, ∠BDE ≅ ∠MDA [Vertical angles]

Therefore, m∠MDA = m∠BAC

Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.

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4 years ago

The 42km drive from Oakdale to Ridgemont usually takes 28 minutes. Because a highway construction requires a reduced speed limit

Evgesh-ka [11]

Answer:

60 km/h

Step-by-step explanation:

At the reduced speed, the trip takes 28 +14 = 42 minutes to drive 42 km. That's 1 km per minute, or 60 km in 60 minutes.

The reduced speed is 60 km/h.

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3 years ago

You deposited $4500 dollars in a savings account that earns a simple interest rate. What interest rate do you need to be paid, i

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3 years ago

On his way home from the laboratory, Louie realized that he left a test tube containing 2560 yeast cells in the lab. Every two m

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Answer:

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Step-by-step explanation:

We are told that there are 2560 cells in the test tube. Then they tell us that every 2 minutes, the number of cells increases by 50%. At 98,450 cells, the test tube will explode. Since Louie got to the lab before the tube exploded, 98,450 is greater than. On the other side of the inequality, we get 2560 times 1.5, because it is increasing by 50%. Then we put 1.5 to the power of t/2 because it grows by 50% every two minutes. The end result is 98450 > 2560 * (1.5)^(t/2). Hope this helps.

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3 years ago