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Dominik [7]
3 years ago
10

Anyone want to help me with this? I will mark brainliest and thanks

Mathematics
1 answer:
Degger [83]3 years ago
6 0

Answer:

x = -8

m∠BDC = 68°

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

<u>Geometry</u>

  • Definition of a Line: A line is 180°

Step-by-step explanation:

<u>Step 1: Set up Equation</u>

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

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

  1. Combine like terms:                    -15x + 60 = 180
  2. Isolate <em>x</em> term:                              -15x = 120
  3. Isolate <em>x</em>:                                       x = -8

<u>Step 3: Find m∠BDC</u>

  1. Define:                    m∠BDC = (-7x + 12)°
  2. Substitute in <em>x</em>:       m∠BDC = (-7(-8) + 12)°
  3. Multiply:                  m∠BDC = (56 + 12)°
  4. Add:                        m∠BDC = 68°
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