This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Use the identity = (90^ - ). Given (5x-28)^ = (3x-50)^. We can rewrite (5x-28)^ as (90^ - (5x-28)^). (90^ - (5x-28)^) = (3x-50)^ Step 2: Equate the angles since the cosine values are equal. 90 - (5x - 28) = 3x - 50 90 - 5x + 28 = 3x - 50 Step 3: Solve for x. 118 - 5x = 3x - 50 Add 5x to both sides: 118 = 8x - 50 Add 50 to both sides: 118 + 50 = 8x 168 = 8x Divide by 8: x = (168)/(8) x = 21 Step 4: Check if the value of x is within the given range 0 < x < 90^. Since x = 21, and 0 < 21 < 90, the value is valid. The value of x is 21. Send me the next one 📸