Form a sequence that has two arithmetic means between -1 and 59.
2 answers:
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These are 3 questions and 3 answers.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.
The four options are attached below
<u><em>Answer:</em></u>
Second attachment is the correct choice
<u><em>Explanation:</em></u>
ASA (angle-side-angle) means that two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle
<u>Now, let's check the choices:</u>
<u>First attachment:</u>
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is incorrect
<u>Second attachment:</u>
It shows that two angles and the included side between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is correct
<u>Third attachment:</u>
It shows that the three angles in the first triangle are congruent to the corresponding three angles in the second one. This is not enough to prove congruency. Therefore, this option is incorrect
<u>Fourth attachment:</u>
It shows that the three sides in the first triangle are congruent to the corresponding three sides in the second one. This is congruency by SSS. Therefore, this option is incorrect.
Based on the above, the second attachment is the only correct one
Hope this helps :)
<u><em>Answer:</em></u>
Second attachment is the correct choice
<u><em>Explanation:</em></u>
ASA (angle-side-angle) means that two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle
<u>Now, let's check the choices:</u>
<u>First attachment:</u>
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is incorrect
<u>Second attachment:</u>
It shows that two angles and the included side between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is correct
<u>Third attachment:</u>
It shows that the three angles in the first triangle are congruent to the corresponding three angles in the second one. This is not enough to prove congruency. Therefore, this option is incorrect
<u>Fourth attachment:</u>
It shows that the three sides in the first triangle are congruent to the corresponding three sides in the second one. This is congruency by SSS. Therefore, this option is incorrect.
Based on the above, the second attachment is the only correct one
Hope this helps :)