As you can see, angle 5 and angle 6 are supplementary. And angle 5 and angle 3 are congruent because they are alternate interior angles.
So it will be
x+2 = 180- x+3
move x over from the right to the left
2x+2 = 183
move 2 over from the left to the right
2x = 181
divide by 2
x= 90.5
and angle 3 and angle 1 are vertical angles so they are congruent. Using the angle 3 formula to solve for the answer:
90.5+3 =93.5
When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
Answer:
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Step-by-step explanation:
1.65
You can substitute in the values of p, n and e to get the equation:
5700 = 4000c - 900
add 900 to both sides and you get
6600 = 4000c
divide both sides by 4000 and you get
1.65 = c
so the answer is 1.65
Answer: -1.77
Step-by-step explanation:
Let
be the population mean.
Given : The engineer designed the valve such that it would produce a mean pressure of 5.5 psi. It is believed that the valve does not perform to the specifications.
Then , 

Since , the alternative hypothesis is two-tailed , so the test is a two tailed test.
Also. sample size : 
Sample mean : 

Test statistic for population mean :-
