Given the matrices AA and BB shown below, solve for XX in the equation -A+3X=-\frac{1}{2}B.−A+3X=− 2 1 B. A=\begin{bmatrix} 6 & -12 \\ -10 & -12\end{bmatrix}\,\,\,\,B=\begin{bm atrix} -6 & 8 \\ -2 & 8\end{bmatrix} A=[ 6 −10 −12 −12 ]B=[ −6 −2 8 8 ]

Solve the inequality. graph the solution. 6q< −18 the solution is .

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

1. are the corresponding angles congruent 2. find the ratios of the corresponding sides 3. is triangle jkl congruent to triangle rst? if so what is the scale factor