On the top problem: Angle A and Angle B are a right angle so it equals 90 degrees. If Angle B is 50 degrees that makes Angle A 40 degrees. Angle A and Angle C is a straight line and equals 180 degrees so if Angle A equals 40 degrees that means Angle C equals 140 degrees.
Answer:
Mean = 8
Variance = 7.36
Standard Deviation = 2.7129
Step-by-step explanation:
This is a binomial distribution with parameters, n and p.
Where
n is sample size (given as 100)
p is the probability of success, or probability of defective (given as 8% or 0.08)
The mean, variance, standard deviation formula for binomial distribution is shown below:
Mean = 
Variance = 
Standard Deviation = 
Where q would be probability of failure, or "1 - p"
Thus,
n = 100
p = 0.08
q = 1 - 0.08 = 0.92
SO, we have:
Mean = 
Variance = 
Standard Deviation = 
A=(2,4); B=(3,9); C=(4,1)
A'=(4,-2); B'=(9,-3); C'=(1,-4)
All the points P=(x,y) change to P'=(y,-x), this corresponds to a rotation counterclockwise about the origin, then:
Answer: Triangle ABC is
First box: rotated counterclockwise
Second box: 90° about the origin
to form triangle A'B'C'
Be right there! Let's do this!
-1/2(x + 2) + 11/2 + x = 3
-1/2x - 1 + 11/2 + x = 3
1/2x + 9/2 = 3
1/2x = 3 - 9/2 = -3/2
x = -3/2 * 2 = -3
x = -3