Question

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Answer 1

x=6

Explanation:

According to Pythagoras theorem

x²+y²=z²

x²+8²=10²

x=√10²-8²

x=√100-64

x=√36

x=6

Answer 2

D. x = 6

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

Explanation:

Step 1: Identify Variables

Leg a = 8

Leg b = x

Hypotenuse c = 10

Step 2: Solve for x

1. Substitute [PT]: 8² + x² = 10²
2. Isolate x term: x² = 10² - 8²
3. Exponents: x² = 100 - 64
4. Subtract: x² = 36
5. Isolate x: x = 6