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
Here are the solutions to the questions. 1. A) Choose the correct alternative answer and write the alphabet. 1) Find d(A, B) if Co-ordinates of A and B are -2 and 5 respectively. Step 1: The distance between two points on a number line is the absolute difference of their coordinates. Let the coordinates be x_A = -2 and x_B = 5. d(A, B) = |x_B - x_A| Step 2: Substitute the values and calculate. d(A, B) = |5 - (-2)| d(A, B) = |5 + 2| d(A, B) = |7| d(A, B) = 7 The correct option is c). c) 7 2) A transversal intersects two parallel line. If the measures of one the angle is 40^, then the measure of its corresponding angle is ........ When a transversal intersects two parallel lines, the corresponding angles are equal in measure. Therefore, if one angle is 40^, its corresponding angle is also 40^. The correct option is a). a) 40^ 3) In ABC, if C > B then, ........ In a triangle, the side opposite the larger angle is longer. The side opposite C is AB. The side opposite B is AC. Since C > B, it follows that AB > AC. The correct option is b). b) AB > AC 4) How many lines are determined by three distinct points? • If the three distinct points are collinear (lie on the same straight line), then only one line can be drawn through them. • If the three distinct points are non-collinear (do not lie on the same straight line), then three distinct lines can be drawn, connecting each pair of points. Therefore, three distinct points can determine either one or three lines. The correct option is c). c) One or three Last free one today — make it count tomorrow, or type /upgrade for unlimited.