<u>Answer
</u>
The concept can be used to prove that the diagonals of a parallelogram bisect each other is congruent triangles
<u>Explanation
</u>
In a parallelogram, opposite sides are equal and parallel.
The two diagonals in the parallelogram make four triangles. opposite triangles are congruent. That means two pair of congruent triangle are here.
Using congruence of triangles, we can prove the diagonals of a parallelogram bisect each other




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Answer:
a)

b) 
c) 
d) 
e) 
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
3) Part a

4) Part b


5) Part c
![P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2016%29%3D1-P%28X%3E16%29%3D1-P%28X%5Cgeq%2017%29%20%3D%201-%5BP%28X%3D17%29%2BP%28X%3D18%29%2BP%28X%3D19%29%2BP%28X%3D20%29%2BP%28X%3D21%29%2BP%28X%3D22%29%5D)

6) Part d
The expected value is:

7) Part e
The variance is given by:

10x-12 is the answer I believe
Answer:
1) Find the equation of the line that is parallel to the line y = 3x - 4 and
passes through the point (-4, 6).*
O y = 3X-8
y=3x + 18
y = (1/3) x + 18
Option 4
y = 3x-18