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professor190 [17]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Trigonometry</u>

  • Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

b = x

c = 21

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                    19² + x² = 21²
  2. Isolate <em>x</em> term:               x² = 21² - 19²
  3. Evaluate:                       x² = 441 - 361
  4. Subtract:                       x² = 80
  5. Isolate <em>x</em>:                       x = √80
  6. Simplify:                        x = 4√5

And we have our final answer!

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Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}

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