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
Hey collins, good to see you again. Here are the solutions to your problems: Problem 12: Given (x + 20^) = (2x + 25^). Step 1: Use the identity = (90^ - ) to rewrite the right side of the equation. (x + 20^) = (90^ - (2x + 25^)) (x + 20^) = (90^ - 2x - 25^) (x + 20^) = (65^ - 2x) Step 2: Equate the angles since the sine values are equal. x + 20^ = 65^ - 2x Step 3: Solve for x. x + 2x = 65^ - 20^ 3x = 45^ x = (45^)/(3) x = 15^ Step 4: Find the value of x. x = (15^) (15^) ≈ 0.2679 The value of x is 15^ and the value of x is 0.2679. Problem 13: Given radius r = 4 cm and arc length s = 5 cm. Step 1: Use the arc length formula s = r, where is in radians. 5 cm = (4 cm) Step 2: Solve for . = 5 cm4 cm = 1.25 radians The angle subtended by the arc at the center is 1.25 radians. Problem 14: The figure shows a cyclic quadrilateral ABCD. Step 1: In a cyclic quadrilateral, opposite angles sum to 180^. Angles D and B are opposite. D + B = 180^ Step 2: Substitute the given expressions for D and B. 120^ + 6x^ = 180^ Step 3: Solve the equation for x. 6x^ = 180^ - 120^ 6x^ = 60^ x = (60)/(6) x = 10 The value of x is 10. Send me the next one 📸