I will assume that line 4 bisect line x exactly in half. This means that if we solve the last side of the triangle like seen in the pic below we will know what half of line x is
To find the length of the last side of the triangle (let's call this y) you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 4
b = y
c = 6
^^^Plug these numbers/variables into the theorem
solve for y
16 + 
= 36
= 20
x = √20
x ≈ 4.472
^^^This is only half of x so if you double it then it will get you the full length of x
4.472 * 2 = 8.944
8.9 (D)
Hope this helped!
~Just a girl in love with Shawn Mendes
I Think It Might Be Over Draft
Answer:
Z and B are independent events because P(Z∣B) = P(Z).
Step-by-step explanation:
After a small online search, I've found a table to complete this problem, that we can see below.
For two events Z and B, we have:
P(Z|B) = probability of Z given that B
such that:
P(Z|B) = P(Z∩B)/P(B)
So, two events are independent if the outcome of one does not affect the outcome of the other.
So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.
So Z and B are independent if the probability of Z given B is equal to the probability of Z.
P(Z|B) = P(Z)
In the table we can see:
P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)
P(Z|B) = 126/280 = 0.45
Similarly, we can find P(Z):
And P(Z) = 297/660 = 0.45
So we can see that:
P(Z|B) = P(Z)
Thus, B and Z are independent.
right 3 units down 5 units
right 3 units = (3,0)
down 5 units = (0,-5)
vertex = (h,k) therefore.
Then convert the vertex form into standard form for the equation in the choice.
Thus, the answer is B.
C is also the best answer
