What is the order of rotational symmetry for the figure?
1 answer:
Answer:
Order of rotational symmetry is 6.
Step-by-step explanation:
The number of positions the object looks the same in a 360-degree rotation is known as order of symmetry.
In the given figure, we have 3 line bisecting each other at a point which is the center of the rotation.
Now, we have 6 segments, each segment have a triangle in clockwise direction. All triangles are congruent.
It means central angle divided in 6 equal parts.
It means after each 60 degrees we get the same figure.
Since, 6 times the positions of figure looks the same in a 360-degree rotation, therefore, the number of rotational symmetry for the figure is 6.
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Answer:
Step-by-step explanation:
The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.
The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.
Then the piecewise definition is ...
f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}
Answer:
The system of linear equations are and
Step-by-step explanation:
Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.
(50 students picked, 25 picked dinner the rest picked lunch and breakfast)
To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?
Solution :
The number of students who chose breakfast be 'x'
The number of students who chose lunch be 'y'.
The number of students who chose lunch was 5 more than the number of students who chose breakfast.
i.e.
Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.
So,
Therefore, the system of linear equations are and