Answer with Step-by-step explanation:
Relationship between rotation and reflection:
In reflection, the pre-image gets flips across the same line.
whereas in rotation, the pre-image get spin around a point.
Rotations can be represented as two reflections i.e. the composition of reflections over two intersecting lines is always equal to rotation of that object.
In rotation, the object will get turned, this is turning some degree either clockwise or anti-clockwise.
Hence, rotation requires spinning and reflection requires flipping.
You must have been taught postulates and theorems that allow you to prove triangles congruent, such as SSS, SAS, ASA, etc. Look at the given information of a proof, and see how from the given information, using definitions, postulates, and theorems you have already learned, you can show pairs of corresponding sides and angles to be congruent that will fit into the above methods. Then use one of the methods to prove the triangles congruent.
Let's rewrite the expression correctly:
(12x3 - 11x2 + 22x - 5) / (4x -1)
Dividing the expression between (4x -1) we have:
3x2 - 2x + 5
We can check the result:
(3x2 - 2x + 5) * (4x-1)
= 12x3 - 8x2 + 20x - 3x2 + 2x - 5
= 12x3 - 11x2 + 22x - 5
Division OK.
Answer:
The result of the division is:
3x2 - 2x + 5
Answer:
<u>p = 21.4 cm</u>
<u>∠P = 44°</u>
Step-by-step explanation:
Apply the Pythagorean Theorem to solve for the length of p.
- p² + 21² = 30²
- p² = 900 - 441
- p² = 459
- p = √459
Now, take the inverse sine function to find angle P :
- sin⁻¹ (opposite side / hypotenuse)
- sin⁻¹ (21/30)
- sin⁻¹ (0.7)
(approximately)
The average cost of a two-bedroom apartment in the city will be about $1135
Step-by-step explanation:
The regression line equation is yˆ=1.377x+137.763 where x is the cost of one-bedroom apartment.
Given that the average cost of one-bedroom apartment is $724, then using this value for x
yˆ=1.377*724+137.763 = 1134.711
This value is approximately $ 1135
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Regression line :brainly.com/question/9274316
Keywords : Variables, linear correlation, equation, regression line.
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