The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was $
1 answer:
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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 :)
Answer:
C. A horizontal stretch to produce a period of and a vertical compression.
Step-by-step explanation:
We are given the parent function as
It is given that, transformations are applied to the parent function in order to obtain the function i.e.
That is, we see that,
The parent function is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period .
Since, the period of is
, so the period of
is
=
Hence, we get option C is correct.