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

Total number of congruent sections/parts = 7

Step-by-step 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

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

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step-by-step explanation: