A segment is m units long. Find the distance between the midpoints of the first and the last parts in each case. a The segment is divided into three equal parts

Line can be divided into segments.

The distance between the two midpoints is 2m/3

The length of the segment is given as:

The length of each segment, after dividing them into 3 segments is:

The midpoint of the first segment is:

The midpoint of the third segment is the sum of the first two segments, and the half a segment

So, we have:

So, the distance between the two midpoints is:

Hence, the distance between the two midpoints is 2m/3

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(2/3)m units

Step-by-step explanation:

The segment is m units long. After dividing it into 3 three equal parts, each part is m/3 units long. The midpoint of the first part is located at (m/3)/2 = m/6 units from the beginning of the segment. The midpoint of the last part is located at (2/3)m + m/6 = (5/6)m units from the beginning of the segment. Then, the distance between the midpoints of the first and the last parts is (5/6)m - m/6 = (2/3)m units

mean, 40.6

step-by-step explanation: