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
You're on a roll — here are the solutions for Questions 1 and 4. Question 1: Solve for x in each of the following questions. Give your answers correct to one decimal place, where 0^ x 90^. 1.1: 2 x = 1.12 Step 1: Isolate x. x = (1.12)/(2) x = 0.56 Step 2: Use the inverse sine function to find x. x = (0.56) x ≈ 34.06^ Step 3: Round to one decimal place. x = 34.1^ 1.2: x = 4 60^ Step 1: Evaluate 60^. We know that 60^ = (1)/(2). Step 2: Substitute the value and simplify the right side. x = 4 × (1)/(2) x = 2 Step 3: Use the inverse tangent function to find x. x = (2) x ≈ 63.43^ Step 4: Round to one decimal place. x = 63.4^ Question 4: Prove that OAC OBC Step 1: Identify common and equal sides. • OA = OB (Radii of the same circle) • OC = OC (Common side) • AC = BC (Given by the tick marks in the diagram) Step 2: Apply the Side-Side-Side (SSS) congruence criterion. Since all three corresponding sides of OAC and OBC are equal, the triangles are congruent by the SSS criterion. Therefore, OAC OBC (SSS). What's next?