Hello!
We are given that the measure of one angle is equal to 115 degrees (for convenience, we’ll refer to this angle as ∠W). Looking at the image above, we can see that ∠W and ∠Y are supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees, also known as a straight line. This relationship can be expressed using the following formula:
A1 + A2 = 180
Now insert any known values provided by the image above:
(115) + (∠Y) = 180
Subtract 115 from both sides of the equation:
∠Y = 65
We have now proven that ∠Y has a measure of 65 degrees. Now, looking at the image again, we can see that ∠W and ∠X are vertical angles. Vertical angles are two angles that lie on opposite sides of two intersecting lines. A pair of vertical angles is always equal in measure. This relationship can be expressed using the following formula:
A1 = A2
Now insert any known values provided by the image above:
(∠X) = (115)
We have now proven that ∠X has a measure of 115 degrees.
I hope this helps!
Answer:
95% Confidence interval: (0.375,0.377)
Step-by-step explanation:
We are given the following in the question:
Sample mean, 
= 0.376 cc/cubic meter
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 0.0012
Degree of freedom =
95% Confidence interval:
Putting the values, we get,
(0.375,0.377) is the required 95% confidence interval for the population mean potassium chloride concentration.
Answer:The last question
Step-by-step explanation:
Take note that the vine was 3.6 ft and now it is 2.1 times as long.
So since is it 2.1 times as long it will be multiplied by 3.6.
3.6(2.1)= 7.56
So it is 7.56 ft long, rounded it is 7.6 ft
