Answer: SECOND OPTION.
Step-by-step explanation:
Given the following point identified as "A":

You can identify that the x-coordinate of the point is:

And its y-coordinate is:

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.
Therefore, you can conclude that the rule that best describe the translation of the point
is the following:
→
Then, the point translated is:
→
Answer:
(#14 - supplementary) x = 10.5
(#15 - supplementary) x = 10
Explanation:
For these problems, we must know that a supplementary angle can be viewed as a sum of angles that add to 180 degrees. With this known, we can write our equations to find x.
(#14)
15x - 12 + 5x - 18 = 180
20x - 30 = 180
20x = 210
x = 10.5
(#15)
6x + 13 + 14x - 33 = 180
20x - 20 = 180
20x = 200
x = 10
Hope this helps.
Cheers.
P(A) = 0.993 is the probability of event A
_
P(A) is the probability of not A (note that I am trying to place a bar over A. I hope you can see it, else it is because the editor did not show it as I intended)
Then, use the fact that the probability of A plus the probability not A is equal to 1:
_
=> P(A) + P(A) = 1
_
=> P(A) = 1 - P(A) = 1 - 0.993 = 0.007
So, the answers are:
_
1) P(A) = 0.07
_
2) Yes, A is unlikely because its probability is very low.
It’s 594 because I’m very smart I think