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The image contains a set of mathematics questions from a school activity. Here are the questions transcribed:

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**Activity 2.3**

1. Locate on a straight line, successively: one point; two points; three points; *n* points. How many segments arise in each case? How many in general?

2. What is the largest number of points in which three lines can intersect? Four lines? Five lines? Arrange your answers in the form of a table.

3. What is the largest number of lines determined (fixed) by two points? Three points? *n* points?

4. A segment 3 units long is to be divided into five parts which are to be in the ratio of 1:2:3:4:5. Determine the length of each part.

5. The length of a rectangle is three times its width. The width is 20 ft. Find the length and the dimensions of the rectangle.

6. A segment 18 ft. long is to be divided into three parts such that the first is equal to the sum of the other two, the second is twice the third, and the first is eight times the third. Find the length of each part.

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The user provided a set of mathematical questions from a school activity sheet covering segments on a line, line intersections, ratios, and dimensions.

This detailed problem set covers core mathematical concepts such as line segments, points, ratios, and rectangle dimensions. Explore how to solve each question step by step, suitable for students in Grades 7-9.

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