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 the questions visible in the image: 1b) Calculate with reasons the value of b, c, d, and e. Based on the partial calculation provided in the image: Step 1: Calculate the value of b. b = 130^ - 80^ + 40^ b = 50^ + 40^ b = 90^ The value of b is b=90^. The values for c, d, and e cannot be determined as the relevant diagram or expressions are not visible in the image. 2. Determine with reasons the value of unknowns. a) Step 1: Identify the relationship between the given angles. The angles x+20^ and 3x-40^ are vertically opposite angles. Step 2: Set up the equation based on the property of vertically opposite angles. Vertically opposite angles are equal. x+20^ = 3x-40^ Step 3: Solve for x. Subtract x from both sides: 20^ = 2x-40^ Add 40^ to both sides: 20^+40^ = 2x 60^ = 2x Divide by 2: x = (60^)/(2) x = 30^ The value of x is x=30^. b) Step 1: Identify the relationship between the given angles. The angles 120^ and 120^-x form a linear pair (angles on a straight line). Step 2: Set up the equation based on the property of angles on a straight line. Angles on a straight line sum to 180^. 120^ + (120^-x) = 180^ Step 3: Solve for x. 240^ - x = 180^ Subtract 240^ from both sides: -x = 180^ - 240^ -x = -60^ Multiply by -1: x = 60^ The value of x is x=60^. 3. Prove that AB CD. The diagram or any additional information required to prove that AB CD is not visible in the image. Please provide the full question with the diagram. Got more? Send 'em 📸