D because if you do a rate problem you do 50 times what equals 100 so times two then you do 32 times two
The event by definition that covers the entire sample space of the experiment is;
<em><u>The number is even or less than 12</u></em>
We are given the numbers in the set as;
set {2, 3, 4,... 10}.
Now, the numbers in the set are even and odd numbers from 2 to 10 with 10 being the highest and 2 being the lowest.
Thus the event that covers this sample space is simply a set of numbers that are even or less than 12.
Read more about sample space of set at; brainly.com/question/18866708
Answer: x = 16
Step-by-step explanation:
If RQ is the bisector, that means the angle is cut in half. Therefore angles PRQ and QRS are equal to each other.
4x+6 = 7x-42
subtract 7x from both sides
-3x+6 = -42
subtract 6 from both sides
-3x = -48
divide both sides by -3
x = 16
3/(x + 4) = (x + 2)/5
Multiply both sides by 5 :
5 × 3/(x + 4) = 5 × (x + 2)/5
15/(x + 4) = x + 2
Multiply both sides by x + 4 :
(x + 4) × 15/(x + 4) = (x + 4) × (x + 2)
Provided that x + 4 ≠ 0, we can cancel the factors of x + 4 on the left side:
15 = (x + 4) (x + 2)
Expand the product on the right side:
15 = x² + 6x + 8
Move everything to one side:
0 = x² + 6x - 7
We can factorize easily in this case
0 = (x + 7) (x - 1)
Then
x + 7 = 0 or x - 1 = 0
⇒ x = -7 or x = 1
<span> With one point of the compass on the vertex of the angle, draw an arc that </span>intersects both sides of the angle.Draw an arc from each of these points of intersection so that the arcs intersect in the interior of the angle. The compass needs to stay open the same amount throughout this step.Draw the ray from the vertex of the angle to the intersection of the two arcs drawn during the previous step.
