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 answers to the questions about the matchstick pattern: a) The first diagram is a single triangle. You used 3 matches to make the first diagram. b) To make the second diagram (two triangles), you add 2 matches to the first diagram. Total matches for the second diagram: 3 + 2 = 5 matches. To make the third diagram (three triangles), you add 2 matches to the second diagram. Total matches for the third diagram: 5 + 2 = 7 matches. c) The pattern is formed by adding one triangle at a time, with each new triangle sharing one side with the previous one. d) You had to add 2 matches each time to extend the pattern by one triangle. That's 2 down. 3 left today — send the next one.