# Given: K is between H and J

Given: K is between H and J, HK= 2x - 5, KJ = 3x + 4, and HJ = 24.
What is the value of x?
A. 9
B. 5
C. 19
D. 3

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Bertha Stark

Given that point K between points H and J, then by Segment Addition Postulate, we can write:
$$HJ=HK+KJ$$
$$24=(2x-5)+(3x+4)$$

Solve for x:
$$24=5x-1$$
$$25=5x$$
$$5=x$$

$$x=5$$
The correct answer is choice B.