We know that the sum of the internal angles in each triangle is 180°.
Therefore we have the equation:

substitute and solve:

We have

substitute the value of x to the expression:

Answer: m∠N = 42 degrees
The number of gigabytes that Sydney can use while staying within her budget is less than 2.9 gigabytes.
<h3>What are
gigabytes?</h3>
gigabytes (GB) – pronounced with two hard Gs – is a unit of storage capacity equal to approximately 1 billion bytes. In decimal form (base 10), a gigabyte is exactly one billion bytes. In binary form, a gigabyte is 230 bytes or 1,073,71,82 bytes. Giga comes from the Greek word for giant. Werner Buchholz is credited with coining the term byte in 1956 and helped design IBM's 7030 Stretch, the first transistorized supercomputer.
gigabytes has been a common unit of measurement for data storage products since the mid-1980s. In recent years, terabytes (TB) have become a more common measure of storage capacity, especially for hard drives and solid-state drives.
To learn more about gigabytes, refer;
brainly.com/question/14722416
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Answer:
Both means are apprxoimately equal at 1% level of significance.
Step-by-step explanation:
Given is the information summarised below
Group Men Women
Mean 23.00 28.00
SD 5.00 10.00
SEM 1.00 1.83
N 25 30
H0: Mean of mean = mean of women
Ha: means of men < mean of women
(Left tailed test)
Since population std deviation is known but sample sizes are small t test is used.
The mean of Men minus Women equals -5.00
standard error of difference = 2.201
t = 2.2721
df = 53
p value= 0.0136
since p >0.01 at 1% significance level we fail to reject H0.
Both means are apprxoimately equal at 1% level of significance.
Answer:
2.20 ........................
$30.55
-----------------------------------------
4.70
x 6.5
_____
2350
28200
_______
30.550