On the straight line a, at equal intervals of 5 mm, 28 points were marked, which occupied the segment CD

On the straight line a, at equal intervals of 5 mm, 28 points were marked, which occupied the segment CD. On straight line b, at equal intervals of 3 mm, 31 points were marked, which occupied the segment EF. Find the ratio CD EF.

1. Let’s find the length of the segment CD, if for its construction on the straight line a, we used 28 points, the distances between which are the same and equal to 5 mm:

If there are 28 points, then the segments, respectively:

28 – 1 = 27 segments;

27 * 5 = 135 mm, cut length CD;

2. Let us find the length of the segment EF, if for its construction on the straight line b, 31 points of the distance between which are the same and equal to 3 mm were used:

If there are 31 points, then the segments, respectively:

31 – 1 = 30 segments;

30 * 3 = 90 mm, section length EF;

3. Find the ratio CD / EF:

135/90 = 3/2;

Answer: the ratio of the segments CD / EF is 3/2.