Answer:
The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.
Step-by-step explanation:
The rule we have is (x, y)→(2x, 2y). This means that each x-coordinate and each y-coordinate are multiplied by 2. This is a dilation by a factor of 2.
This will stretch the image by a factor of 2; this means the sides will be twice as long. This means they will not be congruent.
5 options for the first frame. Then 4 options for the second. Multiply number of options for the first frame by the number of options for the second:
5*4 = 20
Answer:
1,804
Step-by-step explanation:
106 - 60 = 44
44/2 = 22
60 + 22 = 82
82*22 = 1,804
Answer:
x = 1 y = -4
Step-by-step explanation:
- Plug the value of y into the other equation.
x + 3y = -11
x + 3(-4x) = -11
x - 12x = -11
-11x = -11
x = 1
- Now substitute the value of x into any equation.
y = -4x
y = -4(1)
y = -4
