Answer: b, c and e.
Step-by-step explanation:
180° degree symmetry will mean that if we do a rotation of 180°, the figure will look exactly the same.
Now, let's suppose we have a figure with an odd number of sides.
We can draw that figure such that we have a side pointing down, and a vertex pointing up.
Now when we do a 180° rotation, the side will be pointing up and the vertex will be pointing down.
Then if the figure has an odd number of sides, it does not have a 180° rotational symmetry.
Now if the figure has an even number of sides, then we can do the same as above, but now we can put two parallel sides, one facing down and the other facing up, and when we do the rotation, we will end with the same image.
Then the correct options are the ones with an even number of sides:
b, c and e.
Answer:
- b ≤ 10, which means <em>number of books less than or equal to 10.</em>
Explanation:
In mathematical language a<em> constraint</em> is a limitation on the values that a variable can take.
In this case, the constraint is given by the fact that there are 10 books in the reading list from which Henry can choose to read this week.
So, the number of books that he can read is 1, 2, 3, ..., 10 (at most). This is, 10 books is an upper bound.
To represent an upper bound, you use the inequality symbol ≤, which means less than or equal to.
Henry can read as many as 10 books, so that is less than or equal to 10.
If you call b the number of books, the constrain may be written as:
constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.[1
Answer:
2
Step-by-step explanation:
The slope of the line is 2. The slope is rise over run, or change in y over change in x. So to find the slope count how much each value changes, in this graph y changes +2 and x changes +1. So the slope is 2/1 or just 2. One way to visually check the slope is to remember fraction slopes will make the line flatter and other whole numbers make the line steeper.