The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. A theorem is a proven statement or an accepted idea that has been shown to be true.
The inequality is < because the equal sign is an equality.
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Answer: c. 10
Step-by-step explanation:
Given : An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment.
For this study, the three sample means are, M1 = 1, M2 = 2, and M3 = 3.
Grand mean = [All sample have equal elements]
For ANOVA,
, where i= 1, 2 , 3
Hence,the value would be obtained for .
hence, the correct answer = c. 10
<span>Simplifying
4x2 + 8xy + 4y2
Reorder the terms:
8xy + 4x2 + 4y2
Factor out the Greatest Common Factor (GCF), '4'.
4(2xy + x2 + y2)
Factor a trinomial.
4((x + y)(x + y))
Final result:
4(x + y)(x + y)</span>