<span>All you have to do is learn Chebyshev's theorem in terms of k, then
substitute 2 for k.
Here is Chebyshev's theorem in terms of k:
According to Chebyshev's theorem, the proportion of values
from a data set that is further than standard deviations
from the mean is at most .
Then when you plug in 2 for k, you get:
According to Chebyshev's theorem, the proportion of values
from a data set that is further than standard deviations
from the mean is at most .
or writing for ,
According to Chebyshev's theorem, the proportion of values
from a data set that is further than standard deviations
from the mean is at most .
Or if you prefer a decimal answer:
According to Chebyshev's theorem, the proportion of values
from a data set that is further than standard deviations
from the mean is at most .
Or if you prefer a percent answer:
According to Chebyshev's theorem, the proportion of values
from a data set that is further than standard deviations
from the mean is at most %.
</span>
The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.
Mathematically, this statement of the symmetric property of congruence can be written as:
If 
, then 
.
Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:
If 
, then 
which is the exact statement of the symmetric property of congruence when applied to triangles.
Thus, Option D is the correct option.
Answer:
10641.777 feets
Step-by-step explanation:
To obtain the distance to be traveled across the sea, we use trigonometry :
Cosθ = adjacent / hypotenus
Adjacent = 10000
Hypotenus = d
θ = 20°
Cos 20° = 10000 / d
0.9396926 = 10000 / d
d = 10000 / 0.9396926
d = 10641.777
Answer:
Step-by-step explanation:
AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.
If the discrimination is equal to 0, there is one real solution
