1) RED will be rotated 90° counterclockwise around the origin.
2) The coordinates of R'E'D' will be R'(2, 2); E'(0, 4) and F'(0, 0). The rule for a 90° counterclockwise rotation about the origin is that the coordinates (x, y) are mapped to (-y, x).
3) An isometric transformation is one in which the angles between sides and the distances of each side are preserved between the pre-image and the image. This means the angle measures and side lengths will be the same. Therefore the image will be similar to the pre-image, as the angle measures will be the same and the side lengths will be proportional.
The perimeter of triangle ABC is 24 units
Step-by-step explanation:
If a segment joining the mid points of two sides of a triangle, then
this segment is:
- Parallel to the third side
- Its length is half the length of the third side
In The triangle XYZ
∵ A is the mid point of XY
∵ B is the mid point of YZ
∴ AB =
XZ
∵ XZ = 18 units
- Substitute the value of XZ in AB
∴ AB =
× 18 = 9 units
∵ B is the mid point of YZ
∵ C is the mid point of XZ
∴ BC =
XY
∵ AY = 7 units
∵ AY =
XY
∴ XY = 2 × AY
∴ XY = 2 × 7
∴ XY = 14 units
∴ BC =
× 14 = 7 units
∵ A is the mid point of XY
∵ C is the mid point of XZ
∴ AC =
YZ
∵ BZ = 8 units
∵ BZ =
YZ
∴ YZ = 2 × BZ
∴ YZ = 2 × 8
∴ YZ = 16 units
∴ AC =
× 16 = 8 units
∵ The perimeter of a triangle = the sum of the lengths of its sides
∴ Perimeter Δ ABC = AB + BC + AC
∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units
The perimeter of triangle ABC is 24 units
Learn more:
You can learn more about triangles in brainly.com/question/5924921
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Answer:
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that 
If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Hoarder of erasers :o
Is this suppose to be a riddle or sum
Answer:
The GCF is going to be 20
Step-by-step explanation:
This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 20, 2 × 2 × 5= 20
The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80
The common factors are 2, 2, and 5. We multiply those to get the GCF.
2 × 2 × 5 = 20