Answer :

Applying the segment addition theorem, the measure of segment BC is: 3.6 cm.

What is the Segment Addition Theorem?

According to the segment addition theorem, since all three points, A, B, and C are collinear, therefore, the following equation is true:

AB + BC = AC.

We are given the following:

AB = 4.7 cm

AC = 8.3 cm

BC = ?

Applying the segment addition theorem, we have the following equation:

4.7 + BC = 8.3 [according to the segment addition theorem]

Subtract 4.7 from each side of the equation

4.7 + BC - 4.7 = 8.3 - 4.7

BC = 3.6 cm

Thus, applying the segment addition theorem, the measure of segment BC is: 3.6 cm.

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