What is the measure of Angle J K L? Triangle J K L . The exterior angle to angle K has a measure of 83 degrees. 83 degrees 97 de
grees 107 degrees 137 degrees
2 answers:
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of .
In we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let be 'x' degrees .
So,
⇒
⇒ <em>Subtracting 83 from both sides.</em>
⇒
⇒
⇒ degrees
The measure of angle JKL in the triangle is of 97 degrees.
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Answer:
Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:
D. Yes.
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. We know that we require a 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this:
(a)
We want a margin of error of and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:
Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:
D. Yes.