Respuesta :

Space

Answer:

x = 4√5

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

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is one leg
  • b is another leg
  • c is hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

a = 19

b = x

c = 21

Step 2: Solve for x

  1. Substitute [PT]:                    19² + x² = 21²
  2. Isolate x term:                      x² = 21² - 19²
  3. Exponents:                           x² = 441 - 361
  4. Subtract:                               x² = 80
  5. Isolate x:                               x = √80
  6. Simplify:                                x = 4√5

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