Which of the following correctly justifies statement 4 of the two-column proof? A. Corresponding Angles Theorem
B. Transitive Property of Equality
C. Vertical Angles Theorem
D. Substitution Property of Equality

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).

A. 15 degrees b. 45 degrees c. 30 degrees d. 60 degrees

If a triangle given by the matrix  [2 3 5 -1 0 2]  is dilated by a scale factor of 2, what will happen to the side lengths and angle measures of the triangle