Answer:
7 flowers
Step-by-step explanation:divide 7 from each and you'll gat your answer
Focus on the top line angles for now.
Those two angles combine to the straight angle ABC, which is 180 degrees.
(angleABY) + (angleYBC) = angle ABC
(x+25)+(2x+50) = 180
(x+2x) + (25+50) = 180
3x+75 = 180
3x = 180-75
3x = 105
x = 105/3
x = 35
We'll use this x value to find that:
- angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
- angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees
Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.
The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.
Answer: The answer is (d) Accurately predicting who will be promoted at work.
Step-by-step explanation: We are given four options and asked in which of these four, we can use binomial distribution.
Binomial distribution is used in that experiments where there are only two outcomes, either success or failure.
In the given four options, (a), (c) and (d) are incorrect, because the number of outcomes are not fixed there and hence we cannot use binomial distribution.
Only option (b) will serve our purpose, as we are accurately predicting who is getting promoted at work.
Thus, the correct option is (b).
For this case we have that by definition, the distance between two points is given by:
We have to:
Substituting:
ANswer:
