Note that rotation will not affect the shape and size of an object.
Rotation with respect to a point preserves the corresponding sides and the corresponding angles of the original image.
Hence, the statements
The corresponding angle measurements in each triangle between the pre-image and the image are preserved and
The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved
are true.
X >- 5
-2x -4 < 3x +21
+4 +4
-2x < 3x +25
-3x -3x
-5x < +25
-5x/-5 25/-5
X > -5
Answer:
3, 15, 14
Step-by-step explanation:
x + 5x + ( 5x -1) = 32
11x - 1 = 32
11x = 32 + 1
11x = 33
11x/11 = 33/11
x = 3
therefore
the first number is 3
the second is 5 × 3 = 15
the third number is 15 - 1 = 14
Answer:
1/4
Step-by-step explanation:
the numerator is 12 because there are 12 possible outcomes. The numerator is 3 because there are 3 numbers in this set that are greater than 9. You get 3/12 which then simplifies to 1/4
The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393
The life expectancies of the models are given as:
--- model 1
--- model 2
--- model 3
Given that the average annual income is $80,000;
We simply substitute 80000 for income in the equations of the three models.
So, we have:
<u>Model 1</u>
<u>Model 2</u>
<u>Model 3</u>
Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393
Read more about linear models at:
brainly.com/question/8609070
