A polygon has coordinates A(-7, 8), B(-4, 6), C(-4, 3), D(-8, 3), and E(-9, 6). What are the coordinates of its image, polygon A
Burka [1]
The correct answer is third set of points: <span>A′(6, 10), B′(4, 7), C′(1, 7), D′(1, 11), E′(4, 12)
</span><span>
We can figure out this answer, just by looking at the first point A. If we rotate it 270 degree counterclockwise, if will go from the second quadrant to the first quadrant.
The new point will be (8, 7). If we move left 2 and up 3, we will be at the point (6, 10). Only the second choice matches this.</span>
Answer:
All of them except B
Step-by-step explanation:
Bisecting is splitting a line in half
Parallel lines never touch each other
Intersecting lines intersect
Corresponding lines are 2 parallel lines with a line that is going through them
Step-by-step explanation:
: The number of whole numbers lying between 42 and 65 is 22 (65 – 42 – 1 = 22). They are as follows 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, and 64.
Answer:
Step-by-step explanation:
Hi Millie.
First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.
Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.
Answer:
13 children and 9 adults if the total cost is $152.5
Step-by-step explanation:
Let x children and y adults
x + y = 22 (1)
5.5x + 9y = 125.5 (2)
y = 22 - x
5.5x + 9(22 - x) = 125.5
5.5x + 198 - 9x = 125.5
-3.5x = 125.5 - 198
-3.5x = -72.5
x = 20.7
y = 22 - x = 1.3
Which is not possible
If the total cost is $152.5
x + y = 22 (1)
5.5x + 9y = 152.5 (2)
y = 22 - x
5.5x + 9(22 - x) = 152.5
5.5x + 198 - 9x = 152.5
-3.5x = 152.5 - 198
-3.5x = -45.5
x = 13
y = 22 - 13 = 9
