Step-by-step explanation:
for the relationship of lengths of internal chords the product of both segments of a chord is equal for all intersecting chords.
in our case
(x+8)×8 = 7×16 = 112
8x + 64 = 112
8x = 48
x = 6
so, D-F = x + 8 = 6 + 8 = 14
so, C is correct
Answer:
P(A∩B) = 0.522
Step-by-step explanation:
Let's call A the event that a puppy is adopted and B the probability that a puppy live 7 or more years
So, the probability P(A∩B) that a randomly selected puppy in the shelter will get adopted and live 7 or more years is:
P(A∩B) = P(A)*P(B/A)
Because A and B are not independents.
Then, the probability P(A) that a puppy is adopted is 58% and the probability P(B/A) that a puppy live 7 or more years given that the puppy is adopted is 90%.
Finally, replacing the values, we get:
P(A∩B) = 0.58*0.9 = 0.522
It means that the 52.2% of the puppies are adopted and live 7 or more years.
Step-by-step explanation:
The line equation is y = 4x.
Answer:
The answer to your question is: letter B
Step-by-step explanation:
Data
diameter = 6 ft
area = ?
Formula
A = πr²
radius = diameter / 2
= 6 / 2
= 3 ft
Substitution
A = π(3)²
= 28.27 ft²
Answer:
Step-by-step explanation:
6x+9=63
6x=63-9
6x=54
x=54/6
x=9
I encourage you to figure out the justification yourself.