Answer:∠1 and ∠5
Step-by-step explanation:
(A) ∠3 and ∠6 forms the interior angles on the same side of the transversal. Thus, this option is incorrect.
(B) ∠1 and ∠4 forms the linear pair on the straight line a, thus this option is incorrect.
(C) ∠1 and ∠5 forms the corresponding angle pair, thus this option is correct.
(D) ∠6 and ∠7 forms the linear pair on the straight line a, thus this option is incorrect.
Answer: Option C. They're not similar because only one pair of corresponding angles in the two triangles is congruent.
Solution:
The only one pair of corresponding angles in the two triangles is congruent is the angle BGC in ΔCBG and the angle FGE in ΔFEG, because they are vertical angles (opposite by the vertex)
Answer:
D
Step-by-step explanation:
(2x + 2) -
(3x - 1) = 15
multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side
4x + 4 - 3x + 1 = 60
x + 5 = 60 ( subtract 5 from both sides )
x = 55
Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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Item a:
![43.5 - 3(2.77) = 35.26](https://tex.z-dn.net/?f=43.5%20-%203%282.77%29%20%3D%2035.26)
![43.5 + 3(2.77) = 51.88](https://tex.z-dn.net/?f=43.5%20%2B%203%282.77%29%20%3D%2051.88)
Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:
![43.5 - 2(2.77) = 38.03](https://tex.z-dn.net/?f=43.5%20-%202%282.77%29%20%3D%2038.03)
![43.5 + 2(2.77) = 49.11](https://tex.z-dn.net/?f=43.5%20%2B%202%282.77%29%20%3D%2049.11)
Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
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Item c:
- 68% is within 1 standard deviation of the mean, so:
![43.5 - 2.77 = 40.73](https://tex.z-dn.net/?f=43.5%20-%202.77%20%3D%2040.73)
![43.5 + 2.77 = 46.27](https://tex.z-dn.net/?f=43.5%20%2B%202.77%20%3D%2046.27)
Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965