Point C divides segment AB into two segments AC and CB. The length of the segment AC is 0.65

Point C divides segment AB into two segments AC and CB. The length of the segment AC is 0.65 of the length of the segment CB. Find the lengths of the segments CB and AB if AC = 3.9 cm.

Let the length of the segment BC be x cm, then the length of the segment AC is equal to 0.65 x cm (to find the fraction of a number, you need to multiply this number by a fraction) or 3.9 cm. Let’s make an equation and solve it.

0.65x = 3.9;

x = 3.9: 0.65;

x = 6 (cm) – BC length.

AB = AC + BC;

AB = 3.9 + 6 = 9.9 (cm).

Answer. BC = 6 cm; AB = 9.9 cm.