The length of the segment AB is 40 cm. The points CD divide the segment AB into segments AC, CD, DB

| August 19, 2021 | education

The length of the segment AB is 40 cm. The points CD divide the segment AB into segments AC, CD, DB. The length of the CD segment is 4 cm longer than the length of the AC segment. The length of the CD segment is 2 times less than the DB segment. It is necessary to find the length of the segment AC

Let’s denote the segment CD for x cm, then the 2 times larger segment DB will be 2x cm, and the segment AC, which is 4 cm shorter than the CD part, will be expressed as (x-4) cm.

If it is known that points C and D belong to the segment AB and divide it into smaller parts, and the entire segment AB is 40 cm, we will compose the equation:

x + 2x + (x – 4) = 40,

4x – 4 = 40

4x = 40 + 4

4x = 44

x = 11.

Those. the CD segment is 11 cm.

A segment of the AC equal to (x-4) cm will be:

11 – 4 = 7 cm.

Answer: the AC segment has a length of 7 cm.



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