These figures are congruent. What series of transformations moves quadrilateral FGHI onto quadrilateral FG'HT?
8
16
14
2
G
F
-4 1-2
G
6 8
-B-6
2
4
2
14
16
18
Note: Rotations are clockwise. Reflections are over the x- or y-axis.
A. Reflection, rotation
B. Rotation, translation
C. Reflection, reflection
D. Translation, reflection

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

sometimes it can be so they can fit in with a certain group, and others are just like that because of their personality.