Let's first denote:
F - a favorable response
F' - an unfavorable response
S - successful
We know that:

So, from the conditional probability, we can calculate:

Answer E.
Answer : The angles are vertical angles and the value of x is 
Step-by-step explanation :
Adjacent angles : It is defined as the two angles that have the common arm and common vertex.
Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.
And we know that the vertically opposite angles are equal.
In the given image, the angles are vertical angles and vertically opposite angles are equal.
So,






Therefore, the angles are vertical angles and the value of x is 
Answer:
d= 2√10
Step-by-step explanation:
y= 3x - 5
3x - y - 5=0
d= | 3* 7 +(-1) * (-4) + (+5) |
________________

d = | 20 | / 
d = 20 / 
d = 2
Answer:
See Below
Step-by-step explanation:
Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.
52 + 52 + 77 + 77 = ?
104 + 154 = 258
360 - 258 = 102
Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.
102/2 = 51
Therefore;
d = 52
e = 77
f = 51
Answer:
Area of a square is given by:
A = a2
where a = length of side