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serg [7]
2 years ago
15

Find the value of y showing your steps or explaining your thinking. (2 pts.)​

Mathematics
1 answer:
makvit [3.9K]2 years ago
4 0

Answer:

y = 54

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I </u>

  • Equality Properties

<u>Geometry </u>

  • Congruency
  • All angles in a triangle add up to 180°

Step-by-step explanation:

<u> Step 1: Define</u>

3(x + 7)° = 63°

3(x + 7)° + 63° + y° = 180°

<u>Step 2: Solve for x </u>

  1. Divide 3 on both sides:                    x + 7 = 21
  2. Subtract 7 on both sides:                 x = 14

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                    3(14 + 7) + 63 + y = 180
  2. (Parenthesis) Add:              3(21) + 63 + y = 180
  3. Multiply:                               63 + 63 + y = 180
  4. Combine like terms:           y + 126 = 180
  5. Isolate <em>y</em>:                              y = 54
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