Let p and q be the propositions "The election is decided" and "The
votes have been counted," respectively. Express each of these compound
propositions as English sentences.
a) ¬ p : The election is not (yet) decided.
b) p ∨ q : The election is decided or the votes have been counted.
c) ¬ p∧q : The votes have been counted but the election is not (yet)
decided.
d) q → p : If the votes are counted then the election is decided.
e) ¬ q → ¬ p : The election is not decided unless the votes have
been counted.
f) ¬ p → ¬ q : The votes have not been counted unless the election
has been decided. This is equivalent to proposition d).
g) p ↔ q : The election is decided if and only if the votes have been
counted.
h) ¬ q ∨ (¬ p ∧ q) : The votes have not been counted, or they have
been counted but the election is not (yet) decided

answer: are you

step-by-step explanation:

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two

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: