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Nuetrik [128]
3 years ago
12

Which composition of transformations would be the inverse of rotating a figure 90° counterclockwise and then reflecting it over

the x-axis?
Mathematics
2 answers:
Katen [24]3 years ago
4 0
The answer would be a rotation. I hope this helped ^^
Sidana [21]3 years ago
3 0

Answer:

reflecting it over the x-axis, then over the y-axis and finally over the line y = x is the correct answer.

Step-by-step explanation:

Rotating a figure counterclockwise 90° and then reflecting it over the x-axis causes the coordinates to change from (x, y) to (-y, -x). To find the inverse you need to find a set of transformations that will take the coordinates (-y, -x) and change them to (x, y). When you reflect a figure over the x-axis the coordinates change from (-y, -x) to (-y, x). If you then reflect it over the y-axis the coordinates would change from (-y, x) to (y, x) and finally reflecting that point over the line y =x would cause the coordinates to change from (y, x) to (x, y).

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Please help, would be greatful :)
tankabanditka [31]

Answer:

x ≈ 25.5°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = <em>x</em>°

Opposite Leg = 10

Hypotenuse = 21

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [tangent]:                    tanx° = 10/21
  2. Inverse trig:                                  x° = tan⁻¹(10/21)
  3. Evaluate:                                      x = 25.4633°
  4. Round:                                          x ≈ 25.5°
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