Respuesta :

Space

Answer:

x ≈ 41.4°

General Formulas and Concepts:

Pre-Algebra

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

Pre-Calculus

  • Law of Cosines: c² = a² + b² - 2(a)(b)cosC°

Step-by-step explanation:

Step 1: Identify Variables

C° = x°

c = 12

a = 15

b = 18

Step 2: Solve for x

  1. Substitute [LC]:                    12² = 15² + 18² - 2(15)(18)cosx°
  2. Exponents:                           144 = 225 + 324 - 2(15)(18)cosx°
  3. Add:                                      144 = 549 - 2(15)(18)cosx°
  4. Multiply:                                144 = 549 - 540cosx°
  5. Isolate x term:                      -405 = -540cosx°
  6. Isolate x term:                      3/4 = cosx°
  7. Isolate x:                               cos⁻¹(3/4) = x°
  8. Evaluate:                               x = 41.4096°
  9. Round:                                  x ≈ 41.4°

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