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bagirrra123 [75]
3 years ago
7

Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates

of A′ of the rotated quadrilateral A′B′C′D′?
Mathematics
1 answer:
natali 33 [55]3 years ago
4 0

The rule for a rotation by 180° about the origin is (x,y) -->(−x,−y)

So A(-3, 2) to A'(3, -2)

Answer:

A'(3, -2)

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Answer:

\displaystyle x = \frac{216}{7}

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}<u />

<u />

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

  1. Cross-multiply:                     \displaystyle 6(2x - 2) = 19(x - 12)
  2. Distribute:                             \displaystyle 12x - 12 = 19x - 228
  3. Isolate <em>x</em> terms:                     \displaystyle -12 = 7x - 228
  4. Isolate <em>x</em> term:                      \displaystyle 216 = 7x
  5. Isolate <em>x</em>:                               \displaystyle \frac{216}{7} = x
  6. Rewrite:                                \displaystyle x = \frac{216}{7}
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Answer:

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