To know the angle measure between the vertices, you divide 360° by 3. Option C
<h3>Interior angles of a hexagon</h3>
Formula for interior angles of polygon is given as;
= ( n -2 ) × 180 degrees
Hexagon has 6 sides, n = 6
= ( 6 - 2 ) × 180° = 4 × 180° = 720°
Each interior angle = 720/ 6 = 120
To get 120 from 360
=
=
Thus, to know the angle measure between the vertices, you divide 360° by 3. Option C
Learn more about a hexagon here:
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Answer:
<em>5 boys play all the two games</em>
<em>25 boys play only one game</em>
Step-by-step explanation:
<u>Sets</u>
There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).
All the boys play at least one of the two games, so no elements are outside both sets.
There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.
Thus 20 + 15 - 30 = 5 boys play both games
Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.
Thus 15 + 10 = 25 boys play only one game.
The Venn diagram is shown in the image.
Answer:
y < 3x + 2
Step-by-step explanation:
We will be solving this in slope-intercept form, which is a form that gives us the slope and the y-intercept of the graph explicitly:
, m is the slope and b is the y-intercept
We are given that everything to the left of the resulting line is shaded, so we know that the inequality sign will be < (less than). That already eliminates the second and fourth options. We also know the y-intercept, or the point where the graph crosses the y-axis and x is 0. because it is given to us (2, which comes from the point (0,2)). To figure out the slope, we can use the formula since we are given two points [(-3, -7) and (0, 2)] the line passes through. The formula, which is mapped out below, tells us that the slope is just the difference in rise (vertical movement) divided by the difference in run (horizontal movement).
Now we have all the information we need to find the inequality. The slope is 3, the y-intercept is 2, and the sign is <. The first inequality fits these criteria, meaning the correct linear inequality is y < 3x + 2