Angles that are congruent and supplementary must be
2 answers:
Answer: d. right angles.
Step-by-step explanation:
- If the sum of two angles is
, then they are called as supplementary angles.
- If two angles are equal then they are said to be congruent.
Let a and b be two angles which are congruent and supplementary
Then a=b [congruent]
And
Hence, the angles that are congruent and supplementary must be right angles.
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a 7
because 4a + 7 - 7 35 - 7
equals 4a 28
and 4a/4 28/4
equals a 7
Answer:
The minimum sample size needed is 125.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
For this problem, we have that:
99% confidence level
So , z is the value of Z that has a pvalue of
, so
.
What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?
This minimum sample size is n.
n is found when
So
Rounding up
The minimum sample size needed is 125.