# There are three points on a line, A, B, and C, so that AB = 12 cm, BC = 13.5 cm. Find the length of the segment

AC

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1643526

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## AB = 12 cm

BC = 13.5 cm

All possible values of AC are...

25.5 cm and 1.5 cm.

Work shown below
12+13.5= 25.5
13.5-12=1.5

Hope this helps you

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AC = 25.5 cm
AC = 1.5 cm

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## To find the length of segment AC, we can use the concept of the transitive property of equality. Since AB and BC are both parts of AC, we can add their lengths to determine AC.

Step 1: Add the lengths of AB and BC.
AB = 12 cm
BC = 13.5 cm

AC = AB + BC
AC = 12 cm + 13.5 cm
AC = 25.5 cm

Therefore, the length of segment AC is 25.5 cm.

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## B is the common point for the given segments

if the segments are in opposite directions from B
... then, AC = AB + BC

if the segments are in the same direction from B
... then , AC = BC - AB

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