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Basile
1 month ago
7

What additional information could be used to prove ΔEFG ΔE'F'G' using AAS? Check all that apply. EG = 12 and E'G' = 12 FG = 15 a

nd F'G' = 15 EF = 10 and E'F'= 12 m∠G = 42° and m∠G' = 42° EG ≅ E'G
Mathematics
2 answers:
AnnZ [12.3K]1 month ago
5 0
1. The length EG is 12 while E'G' also measures 12.
2. The length FG is 15, and similarly, F'G' equals 15.
5: It follows that EG <span>≅ E'G'</span>
Svet_ta [12.7K]1 month ago
5 0

The definition of congruent triangles asserts that their corresponding sides and angles must be equal or congruent. Therefore, for the triangles ΔEFG and ΔE'F'G', all sides and angles must correspond. Nevertheless, it is stated that EF = 10 and E'F' = 12, indicating that sides EF and E'F' do not match. Hence, we can never prove that:

\Delta EFG\cong\Delta E'F'G'

Thus, \Delta EFG\ncong\Delta E'F'G'

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Answer: c. We can state with 95 percent confidence that the percentage of individuals surveyed who regard climate change as a significant issue is between 0.146 and 0.214.

Step-by-step explanation:

Interpretation of the 95% confidence interval :

This means one can be 95% certain that the actual proportion in the broader population falls within this range.

From the provided details, we identify the population parameter as p (the proportion of individuals that believe in climate change )

As a result, the 95 percent confidence interval is represented as (0.146, 0.214)

Interpretation: We can assert with 95% confidence that the actual population proportion of individuals who perceive climate change as a problem ranges from 0.146 to 0.214.

<ptherefore the="" accurate="" choice="" is="">

c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.

</ptherefore>
8 0
2 months ago
Find 10-3. Write the subtraction fact two ways.
AnnZ [12381]
This is an exercise in fact families. A fact family consists of four related facts: two addition sentences and two subtraction sentences. The task asks for the subtraction fact written two ways.

10-3
First way. Start with 10 objects—imagine 10 triangles:

Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

If you remove 3 triangles, how many remain? Seven remain:
Δ Δ Δ Δ Δ
Δ Δ 

So subtracting 3 from 10 gives:
10-3=7

Second way. Again begin with the same 10 triangles:Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

This time remove 7 triangles; the leftovers are 3:
Δ Δ Δ

Thus subtracting 7 from 10 yields:
10-7=3
4 0
2 months ago
LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct?
tester [12383]

Answer:

Yes, La Tasha is right, since the correlation coefficient amounts to r=0

Step-by-step breakdown:

Please look at the attached document.

Thanks.

6 0
1 month ago
Read 2 more answers
Level curves for barometric pressure (in millibars) are shown for 6:00 AM on November 10, 1998. A deep low with pressure 972 mb
AnnZ [12381]

Answer: the directional derivative value of the pressure function at Kearney moving toward Sioux City is - 0.09 mb/km

Step-by-step explanation:

Let’s assume P represents the pressure function

The calculation for the directional derivative of pressure at Kearney directed towards Sioux City will be denoted as DuP

The line connecting Kearney to Sioux City starts on the level curve representing a pressure of 1000mb

and ends on the level curve representing a pressure of 972 mb

thus letting X1 = 1000 mb

X2 = 972 mb

the distance between Kearney and Sioux is d = 300 km

So to approximate the directional derivative DuP at Kearney towards Sioux City, we assess the average rate of pressure change between both locations

therefore DuP  = (X2 - X1) / d

= (972 - 1000) / 300

= -28 / 300

= - 0.09 mb/km

Thus, the directional derivative value of the pressure function at Kearney in the direction of Sioux City is - 0.09 mb/km

7 0
2 months ago
A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give
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Answer:

There is no notable difference between the two averages at a 5% significance level.

Step-by-step explanation:

A college student wanted to investigate whether business majors or liberal arts majors performed better in trivia.

The student administered a trivia quiz to 30 business majors, achieving an average score of 86. The same quiz was given to 30 liberal arts majors, with an average score of 89.

This process involved hypothesis testing to compare the means of two different disciplines. n =30

H_0: Mean of business majors = Mean of liberal arts majos\\H_a:Mean of business majors \neq Mean of liberal arts majos

Since no specific claim is made regarding which group is better, a two-tailed test is appropriate.

The p-value achieved = 0.0524 >5% exceeds our alpha level,

indicating no significant difference exists between the average scores of the two groups, so we accept the null hypothesis.

4 0
1 month ago
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