Can the following side lengths form a triangle?
1 answer:
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To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
Therefore, the measure of the triangle's angle is 60°
Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.
Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
The missing angle measure, angle x, equals 18°.
Hope this helps!
Therefore, the measure of the triangle's angle is 60°
Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.
Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
The missing angle measure, angle x, equals 18°.
Hope this helps!
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%