Solve the equation 4x^2+9=0
1 answer:
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Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
Learn more about the angle addition postulate on:
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Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean is
The standard deviation is
The significance level is
The Null Hypothesis is
The Alternative Hypothesis is
The test statistic is mathematically represented as
Substituting values
Now the critical value for is
This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct