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Alona [7]
2 years ago
11

In the diagram, AB←→ || CD←→. Which pair of angles can be proven congruent?

Mathematics
2 answers:
slega [8]2 years ago
7 0
For the answer to the question above, the opposite angles at the intersection of two straight lines as shown in the graph are congruent. 
So the answer is simply∡ EIA  and ∡ KIJ are congruent.

I hope my answer helped you. Have a nice day!
Kitty [74]2 years ago
4 0
I hope this helps you

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Pat helps run an animal shelter. The actual number of animals brought in during a particular month was 150. The percent error wa
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12/100 150/n = 150*100/12 = 18%
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2 years ago
A newspaper article about an opinion poll says that "53% of Americans approve of the president's overall job performance." The p
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Answer:

<u>Part A:</u> The population are the American adult citizens, excluding the ones from Alaska and Hawaii. The population is the people which the sample is trying to represent, as a hole.

The sample is a portion of this population, and in this case is represented by a randomly selected amount of people whose response to the interview has been selected.

<u>Part B:</u> The sample here has been selected in two steps. The <u>first</u> step is the one that we must pay attention to: the numbered list of one million responses from around the US (excluding Alaska and Hawaii). Because these responses were obtained by an online survey, the sample looks like a convenience sampling, as it depends on the availability and willingness from participants to take part of the study (is not compulsory for everyone, so not everyone is going to response, then there are people that is not going to be represented by). The <u>second</u> step is the random selection of a part of the previous responses. This last part will ensure that, the individuals that took part of the group that was interviewed, are well represented in the results.

<u>Part C:</u> As it was mentioned, there is a selection bias, because the information from the sample comes from a specific group of people that has certain features that may not represent all American adults citizens. For <u>example, the opinion of  those people who do not use internet</u>, will not be considered (and they may be a large number of persons). This situations weaken the conclusions obtained in the study, as they are not representative of the hole population.

7 0
2 years ago
Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does
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Answer:

12

Step-by-step explanation:

because if she has 8 more red cubes that yellow than that would mean it would become 12

6 0
2 years ago
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Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 103 bacteria in the dish. The bacteria divide ev
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Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
                                         at = (a1)(2^t/2)

where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
                                      a6 = (103)(2^6/2) = 824 

Thus, there are 824 bacteria after 6 hours. 
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2 years ago
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The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5
tamaranim1 [39]

Answer:

t \approx 0.43\,s

Step-by-step explanation:

The vertical displacement function is y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4, where y(t) is measured in meters and t in seconds. Ball hits the ground when y(t) = 0. That is:

-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0

Whose roots can be found by using the General Formula for Second-Order Polynomials:

t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}

Solutions of this polynomial are:

t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s

Only the first root is physically consistent.

3 0
2 years ago
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