<u>136 + x + x = 180. Or, to simplify, 136 + 2x = 180. The congruent angles measure 23 degrees each.</u>
We know this because of a simple rule that goes for all triangles: The measures of all three angles in a triangle will <em>always</em> add up to 180 degrees.
One angle of a triangle measures 136 degrees. The other two angles are congruent (have the same measure).
(x stands for an unknown angle measure.) So the equation we would use is 136 + 2x = 180. We can solve this within a few steps.
1. We subtract 136 from 2x in order to isolate 2x. But if we subtract something from the left side of the equation, we have to subtract it from the right side too. Otherwise the equation will be wrong; We would be taking away the balance.
2x = 180 - 136
2. Now that 2x is isolated, we solve 180 - 136.
2x = 46
3. If we know now that 2x is equal to 46, how do we find out what x is equal to? We divide by 2 (on both sides or it'll be wrong) to get x.
2x = 46
2x/2 = 46/2
x = 23
Now we know! x = 23... The other two angles are both 23 degrees. We can check to see if that's right by solving 23 + 23 + 136... Does it add up to 180? Yes! :)
The scatterplot that shows a strong association between two variables even if the correlation is near zero is graph C.
<h3>
What is zero correlation?</h3>
Correlation is a measure that is used in statistics to measure the linear relationship that exists between two variables.
Zero correlation is when there is no linear relationship between the variables been studied. When it is shown on a graph, zero correlation would have no clear linear trend either positive or negative. A linear trend is roughly a straight line. A linear trend is positive if it slopes upward and negative if it slopes downward.
Please find attached the complete question. To learn more about correlation, please check: brainly.com/question/27246345
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Answer:
A = 10.5%
B = 28.9%
C = 39.5%
D = 18.4%
F = 2.6%
Step-by-step explanation:
Add all the frequencies together = 38
- 4/38 × 100 = 10.5%
- 11/38 × 100 = 28.9%
- 15/38 × 100 = 39.5%
- 7/38 × 100 = 18.4%
- 1/38 × 100 = 2.6%
10.5 + 28.9 + 39.5 + 18.4 + 2.6 = 100%
Answer:
12 °F
2°F per hour
Step-by-step explanation:
The difference can be found by substracting:
7°F-( -5 °F)
=12 °F
To find the average change in temperature per hour, divide by how many hours between 6 to midnight. Between 6 to midnight is 6 hours.
12°F / 6 hours
= 2°F/ hour