Respuesta :

Space

Answer:

x = √130

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
  • Subtraction Property of Equality

Trigonometry

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

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

Step-by-step explanation:

Step 1: Define

Leg a = 9

Leg b = 7

Hypotenuse c = x

Step 2: Solve for x

  1. Substitute in variables [Pythagorean Theorem]:                                           9² + 7² = x²
  2. [Hypotenuse] Rearrange:                                                                                x² = 9² + 7²
  3. [Hypotenuse] Evaluate exponents:                                                                x² = 81 + 49
  4. [Hypotenuse] Add:                                                                                          x² = 130
  5. [Hypotenuse] [Equality Property] Square root both sides:                          x = √130

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