Question

Point P partitions directed segment AB in the ratio of 3:4.

What is the total number of congruent sections/parts? (what

is the k value?)

how many congruent sections are there

Answer 1

Total number of congruent sections/parts = 7

`k = (3)/(7)`

Explanation:

Given that partitions directed segment AB such that AP : PB = 3 : 4, this implies that:

There are 7 parts/congruent sections that AB has been divided into.

Also, point P, partitions AB in the ratio 3:4.

Therefore, there are a total of 7 congruent sections/parts.

Value of k:

Value of k = numerator of the original ratio ÷ sum of numerator and denominator of the original ratio

`k = (3)/(3 + 4)`

`k = (3)/(7)`