Respuesta :

Space

Answer:

c = 12.5

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

  • 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: Identify

Leg a = 7.5

Leg b = 10

Hypotenuse c = c

Step 2: Solve for c

  1. Substitute in variables [Pythagorean Theorem]:                                              7.5² + 10² = c²
  2. Rewrite:                                                                                                             c² = 7.5² + 10²
  3. Evaluate exponents:                                                                                         c² = 56.25 + 100
  4. Add:                                                                                                                   c² = 156.25
  5. [Equality Property] Square root both sides:                                                    c = 12.5