Given the equation 5x − 4 = −2(3x + 2), solve for the variable. Explain each step and justify your process
2 answers:
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The values of x are
1. x = 32°,
2. x = 15°,
3. x = 49°,
4. x = 65°,
Explanation:
- The angle made by any right angle is 90° and the angle made by a straight line is 180°. These are the main equations required to solve the values of x. The first 2 are right angles and the last 2 are straight lines. So the sum of the components within that right angle is 90° and for a straight line is 180°.
- For diagram 1; 2x° + x° - 6° = 90°, 3x° = 90° + 6° = 96°, x =
= 32°.
- For diagram 2; 4x° + 3° + x° + 12° = 90°, 5x° = 90° - 15° = 75°, x =
= 15°.
- For diagram 3; x° + 33° + 2x° = 180°, 3x° = 180° - 33 = 147°, x =
= 49°.
- For diagram 4; 2x° + 1° + x° - 16° = 180°, 3x° = 180° + 15° = 195°, x =
= 65°.