Answer:
x = 121°
Step-by-step explanation:
If you add up all the angles of a triangle, you get 180°.
So you must add up all the angles.

Next you subtract 59 on both sides.

x should be 121°.
If you would like to check your answer, you can add up 27, 32, and 121. If it all equals to 180, then your answer is correct.
Answer:
The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 <
< 0.314695
Step-by-step explanation:
The confidence interval for a proportion is given by the following formula;

Where:
x = 33
n = 136
= x/n = 33/136 = 0.243
z value for 95% confidence is 1.96
Plugging in the values, we have;

Which gives;
0.17059 <
< 0.314695
Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 <
< 0.314695
From the above we have;
23.2 < x < 42.798
Since we are dealing with people, we round down as follows;
23 < x < 42.
Supplementary angles add up to 180 degrees more than the other, you can formulate an equation 180=(100+x)+x80=2x so, x=40 the other angle is 100 degrees more. So, the angle lengths are 40 and 140 degrees.
The correct answer is the last set of numbers
1) you have to add all the rings together to find the denominator
6 + 11 + 15 + +3 = 35
2) the numerator is the amount of rings of the certain color you are trying to find the probability of
15
3) find the theoretical probability! 15/35
4) simplify
15/35 (divide both by 5) = 3/7
hope it helped :)