Point C is the inner point of the segment AB, the length of which is 20 cm. Find the lengths of the segments AC and BC, if AC: BC = 9: 11.
AB = 20 cm.; AC: BC = 9: 11
Let AC = 9x, and BC = 11x, then
AB = AC + BC
20 = 9x + 11x
20 = 20x
x = 1;
since x = 1, then AC = 9 * 1 = 9 cm; BC = 11 * 1 = 11 cm.
Answer: AC = 9 cm; BC = 11 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.