It is a 100 degrees vertical angles are congruent
Answer:
A. Perpendicular
Step-by-step explanation:
When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.
So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.
It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is 
The population standard deviation is 
The level of significance is 
The population mean is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=>
=> 
From the z table the area under the normal curve to the left corresponding to 1.75 is

Generally p-value is mathematically represented as

=> 
=> 
From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Answer: He needs a minimum of 2011.25 hours
Step-by-step explanation:
In order for Gavin to get his private pilot certificate he must fly solo.
He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.
He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours
To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes
2020 - 8.75 = 2011.25.
He needs a minimum of 2011.25 hours