Get the solution to "Given: K is between H and J, HK=..."

Wribreeminsl

Answered question

2021-09-18

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

Bertha Stark

Skilled2021-09-19Added 96 answers

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

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

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

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