Answer:
B
Step-by-step explanation:
So we want to find the value of x.
Note that the entire segment (JK) is the sum of the segments JI and IK. In other words:
[tex]JK=JI+IK[/tex]
We know that JK is (2x-1), JI is (2), and IK is (x+3). Substitute:
[tex]2x-1=(2)+(x+3)[/tex]
On the right, add:
[tex]2x-1=x+5[/tex]
Add 1 to both sides:
[tex]2x=x+6[/tex]
Subtract x from both sides. The right cancels:
[tex]x=6[/tex]
And the value of x is 6.
Our answer is B.
