I think it would be C since two right angles both have a total of 90 degrees. So if u were to add the two angels u would get 180
<h3>
Answer: Angle C is 76 degrees</h3>
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Explanation:
Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.
Focus on triangle ABE. Let's find the missing angle E.
A+B+E = 180
55+55+E = 180
110+E = 180
E = 180-110
E = 70
So angle BEA = 70 degrees
This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.
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Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C
D+E+C = 180
34+70+C = 180
104+C = 180
C = 180-104
C = 76
Angle C is 76 degrees
Considering it's asymptotes, the rational function shown in the graph is:
C. ![F(x) = \frac{1}{(x + 2)(x - 1)}](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cfrac%7B1%7D%7B%28x%20%2B%202%29%28x%20-%201%29%7D)
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this graph, there are vertical asymptotes at x = -2 and x = 1, hence the denominator of the function is:
(x + 2)(x - 1).
The horizontal asymptote is of y = 0, hence the function can be given by:
C. ![F(x) = \frac{1}{(x + 2)(x - 1)}](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cfrac%7B1%7D%7B%28x%20%2B%202%29%28x%20-%201%29%7D)
More can be learned about rational functions and asymptotes at brainly.com/question/24410059
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Answer:
95% confidence interval for nasturtiums in a 50 gram bag is (1.442, 1.700)
Step-by-step explanation:
The sample is:
1.45g, 1.35g, 1.45g, 1.65g, 1.72g, 1.45g, 1.35g, 1.92g, 1.76g, and 1.61g.
Sample size is 10
Mean nasturtiums in a 50 gram bag is ![\frac{1.45g+1.35g+ 1.45g+ 1.65g+ 1.72g+ 1.45g+ 1.35g+ 1.92g+ 1.76g+1.61g }{10} =1.571 g](https://tex.z-dn.net/?f=%5Cfrac%7B1.45g%2B1.35g%2B%201.45g%2B%201.65g%2B%201.72g%2B%201.45g%2B%201.35g%2B%201.92g%2B%201.76g%2B1.61g%20%7D%7B10%7D%20%3D1.571%20g)
Standard deviation of the sample is the mean of the squared differences from the mean(0.181)
95% Confidence Interval can be calculated using M±ME where
- M is the mean nasturtiums in a 50 gram bag (1.571 g)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME=
where
- t is the corresponding statistic in the 95% confidence level and 9 degrees of freedom (2.262)
- s is the standard deviation of the sample (0.181)
- N is the sample size (10)
Then ME=
=0.129
95% confidence interval for nasturtiums in a 50 gram bag is 1.571±0.129
Quadratic equations always include x^2.