3)

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6)

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7)

Check the picture below.
notice that 146° is sitting on a flat-line, and thus it has a sibling linear angle, namely 34°.
now, recalling that a triangle has a sum of 180° for all interior angles, the missing one is 126°, and incidentally that is a corresponding angle with "c".
Answer:
The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.
The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.
Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.
Answer:
We can assume that the statistic is 

So the p value obtained was a very high value and using the significance level given
we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
Step-by-step explanation:
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
We can assume that the statistic is 
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided
. The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:

So the p value obtained was a very high value and using the significance level given
we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5