Which of the following proportionally statements is correct?
1 answer:
Answer:
Step-by-step explanation:
The figure given has two similar triangles: ΔABC and ΔDEF. Although the triangles are similar, their orientation is different and ΔDEF is flipped. Since the triangles are similar, their side lengths are proportional to each other. Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF. The only answer that matches these up proportionally is the third one. Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle. Final answer being:
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Answer:
11 hours
Step-by-step explanation:
Since you're told that the airfare cost is 737 we know that this is a number that will not be varied in any way and that this number will be added to the number of nights that he pays for to stay at a hotel. We are also told that the cost per night is 164 and that x represents the number of nights that he stays. We can then have the following
for the second package we are told that it cost 249 for the round trip and 531 per night at a hotel. Moreover, once again x represents the number of nights that he will be staying at the hotel, giving the equation
therefore, option C is the correct answer.
for the second package we are told that it cost 249 for the round trip and 531 per night at a hotel. Moreover, once again x represents the number of nights that he will be staying at the hotel, giving the equation
therefore, option C is the correct answer.
To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal to
, and then we are going to factor backwards.
We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal to and factor backwards:
is a factor of our polynomial.
We also know that another root of our polynomial is
, so lets set equal to and factor backwards:
(
is a factor of our polynomial.
We can conclude that there is no correct answer in your given choices.
We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal to
We also know that another root of our polynomial is
(
We can conclude that there is no correct answer in your given choices.