Answer:
7A. x = 6
7B. m∠ABC = 135°
Step-by-step explanation:
7A. I forget what the rule is called specifically, but the opposite angle is always congruent. So, you simply end up solving for x when you set the equation to equal 45.
7B. Use the supplementary rule, which basically states that two angles on a flat plane, when adjacent, equal 180°. So, 180 - 45 = 135.
God, my terminology is awful, but that's besides the point.
Answer:
Step-by-step explanation:
First I want to set up some variables.
S = sum
n = final term
ax = xth term, so a1 is the first term and an is the last one
d = common difference.
There are two formulas to find the sum, if you don't get how they were gotten I'd be happy to explain.
S = (n/2)(a1+an) = (n/2)(2a1+(n-1)d)
So, to find n we use the first one.
S = (n/2)(a1+an)
123 = (n/2)(8+33)
123 = (n/2)41
3 = n/2
6 = n
Now we can find d with the other one
S = (n/2)(2a1+(n-1)d)
123 = (6/2)(2*8+(6-1)d)
123 = 3(16+5d)
41 = 16+5d
25 = 5d
5 = d
so there are six terms and the common difference is 5.
Answer is the 3rd picture
hope it helps
Answer:
d.Unknown, we don’t have enough information to determine the shape
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
We don't know the shape of the distribution of the meetings time.
The sample size is smaller than 30.
So we can't apply the central limit theorem, and the correct answer is:
d.Unknown, we don’t have enough information to determine the shape
