Conditional statements and laws. 1. If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
2. If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn’t set yet.
3. If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
4. If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.

ANSWER OPTIONS:
Law of Detachment, not a valid conclusion has been made, Law of Syllogism, Or Law of Contrapositive.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

the answer to question 1 is -8, 28.

step-by-step explanation:

think the answer is 30 degrees. if not than it is 20 degrees. not 100% sure. let me know if it was right.

gill russ