Answer:
∠ HCF = 108°
Step-by-step explanation:
∠ ABG and ∠ HCF are alternate exterior angles and are congruent, thus
12x = 11x + 9 ( subtract 11x from both sides )
x = 9
Thus
∠ HCF = 11x + 9 = 11(9) + 9 = 99 + 9 = 108°
I think angle abc is 80° and angle fec is 90°
Explanation:
Since angle abe is 40° just double it to get abc
And fec is just a 90° angle
Answer:
a)P=0.42
b) 
Step-by-step explanation:
We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

a) we have k=2, n=10 and p=0.01:

b) We have,
, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

Dominic weighs 120.
I started laughing as soon as I saw this question...
It honestly made my day:)
Answer:
c This is the direct variation
Step-by-step explanation:
The equation for direct variation is y= kx
Solving this for k
y/x =k
So y/x must be a constant
a. 9/3 =3
2/7 does not =3 so this is not a direct variation
b 1/2 = .5
-3/6 = -.5
This is not the same so this is not a direct variation
c. 27/9 =3
18/6 =3
9/3 =3
This is a direct variation with a constant of 3
d 5/-7 = -5/7
1/-3 = -1/3
This is not the same so this is not a direct variation