Final answer:
To find the value of y in the equation (7y + 27% of (15x - 5)) = 125°, you can simplify the equation, isolate y, and solve for its value. By following the step-by-step process, you can find that y is approximately 12.26°.
Step-by-step explanation:
To find the value of y, we need to solve the equation:
(7y + 27% of (15x - 5)) = 125°
Step 1: Simplify the equation by calculating 27% of (15x - 5). For example, if x = 10, then 27% of (15x - 5) = 27% of (150 - 5) = 27% of 145 = 0.27 * 145 = 39.15.
Step 2: Substitute the simplified expression back into the original equation:
7y + 39.15 = 125°
Step 3: Subtract 39.15 from both sides of the equation:
7y = 125° - 39.15
Step 4: Simplify the right side of the equation:
7y = 85.85°
Step 5: Divide both sides of the equation by 7 to isolate y:
y = 85.85° / 7
Step 6: Calculate the value of y:
y ≈ 12.26°