Answer:
Both equal 121 degrees
Step-by-step explanation:
Vertical angles are equal, and and 2 are indeed vertical angles. They are the "top" and "bottom" of the x formed. So you can use this.
angle 1 = angle 2
20x + 21 = 30x - 29
50 = 10x
5 = x
So just plug this in.
20x + 21
20(5) + 21
121
30x - 29
30(5) - 29
121
So both are 121.
Answer:
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: 
Alternative hypothesis: 
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: 
Alternative hypothesis: 
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Answer:
27
Step-by-step explanation:
Number of cars washed by the eight teams per hour = 2 * 8 = 16 cars.
Number of cars washed by the eight teams in 5 = 16 * 5 = 80 cars.
The teams should charge $600/80 = $7.50
X + 60 = 100 (because they are vertical angles, which means that because they are directly opposite of each other, they are of the same measurements).
Solve for x. Isolate the x, subtract 60 from both sides
x + 60 = 100
x + 60 (-60) = 100 (-60)
x = 100 (-60)
x = 40
40° should be your answer
hope this helps