Question

Solve for the value of z​

Answer 1

z = 11

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

Geometry

• Supplementary Angles: Angles that add up to 180°

Explanation:

Step 1: Identify

Diagram shows supplementary angles.

(9z + 7)° + 74° = 180°

Step 2: Solve for z

1. Add: 9z + 81 = 180
2. [Subtraction Property of Equality] Subtract 81 on both sides: 9z = 99
3. [Division Property of Equality] Divide 9 on both sides: z = 11