Answer:
the first one is corresponding angles postulate
the second one is linear pair
Step-by-step explanation:
corresponding angles are equal
the sum of linear pair is 180°
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Answer:
CI = (70.861 , 94.418)
Step-by-step explanation:
In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):
(1)
: mean = 82.64
σ: standard deviation = 14.32
n: sample = 4
α: tail area = 1 - 0.9 = 0.1
Z_α/2 = Z_0.05: Z factor = 1.645
You replace these values and you obtain:

The confidence interval will be:

The 90% confidence interval is (70.861 , 94.418)
Answer:
0
Step-by-step explanation:
To find the slope of a line, we uses y2-y1/x2-x1:
y2-y1/x2-x1
1-1/7+2
0/9
0
The slope of the line is 0.
<em>If u have any questions about what I did feel free to ask in the comments!</em>
Answer:
In option a, w < 10
in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150
in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150
In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150
Therefore the corect answer is option b.
Step-by-step explanation: