Given: K is between H and J

Wribreeminsl 2021-09-18 Answered
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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Expert Answer

Bertha Stark
Answered 2021-09-19 Author has 3454 answers

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.

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