Answer:
the answer is 25
Step-by-step explanation:
you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
9514 1404 393
Answer:

Step-by-step explanation:
The slope of a line is the same everywhere, so an equation can be written making use of that fact.

Cross-multiplying gives ...
2(y -5) = x -2
2y -10 = x -2 . . . eliminate parentheses
2y = x +8 . . . . . . . add 10; next, divide by 2

__
These equations match choices B and D.
Answer:
See the proof below.
Step-by-step explanation:
Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."
Solution to the problem
For this case we can assume that we have N independent variables
with the following distribution:
bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:
From the info given we know that
We need to proof that
by the definition of binomial random variable then we need to show that:


The deduction is based on the definition of independent random variables, we can do this:

And for the variance of Z we can do this:
![Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2](https://tex.z-dn.net/?f=%20Var%28Z%29_%20%3D%20E%28N%29%20Var%28X%29%20%2B%20Var%20%28N%29%20%5BE%28X%29%5D%5E2%20)
![Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2](https://tex.z-dn.net/?f=%20Var%28Z%29%20%3DMpq%20%5Bp%281-p%29%5D%20%2B%20Mq%281-q%29%20p%5E2)
And if we take common factor
we got:
![Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]](https://tex.z-dn.net/?f=%20Var%28Z%29%20%3DMpq%20%5B%281-p%29%20%2B%20%281-q%29p%5D%3D%20Mpq%5B1-p%20%2Bp-pq%5D%3D%20Mpq%5B1-pq%5D)
And as we can see then we can conclude that 
Answer:
x=17
Step-by-step explanation:
the two segements equal each other, so make teh equations equal eachother and solve for x ,2x-10=x+7