Answer:
D) a reflection over the line x = 0 followed by a reflection over the line y = 0.
Step-by-step explanation:
In this problem, the original figure is in quadrant I (1) and the second image is in quadrant III (3). In order for the figure to make this transition and be 'flipped' into the opposite direction of the original figure, a reflection would have to take place. If triangle 'A' is reflected over the line y = x or y = -x, the orientation of the triangle would stay the same, meaning the point of the triangle would still face upward. If you reflect over the line x = 0 and then again over the line x = 0 (as in C), your triangle would be in the same spot. However, if you reflect triangle 'A' over x = 0, you would get a 'flipped image' into quadrant 4 and the orientation of the triangle would face downward. Following this reflection by another reflection over the line y=0 would give you the mirror image in quadrant III (3). So, D is the correct sequence of reflections.
Answer:
1st picture (tri) = 16y+8
2nd picture (tri) = 12x-9
3rd picture (sq) = 21x+35
Step-by-step explanation:
Triangle area = (Base x Height) divided by 2
#1.) 16(2y+1) = 32y + 16 (32y+16)/2 = 16y+8
If you need more explination ask me :)
Answer:
6.9%
Step-by-step explanation:
7 red marbles, 3 blue marbles and 8 green marbles = 18 marbles
P ( green ) = green/total = 8/18 = 4/9
Keep marble
7 red marbles, 3 blue marbles and 7 green marbles = 17 marbles
P ( green ) = green/total = 7/17
Keep marble
7 red marbles, 3 blue marbles and 6 green marbles = 16 marbles
P ( green ) = green/total = 6/16 = 3/8
P (green,green,green) = 4/9*7/17 * 3/8 = 7/102
To the nearest tenth of a percent
.068627451 = 6.8627451% = 6.9%
