The question asks for the length of CD and HJ. To find those, we need to find a connection between them.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
[tex]2x + 3 = 3x + 2[/tex]
Subtract 2x from both sides:
[tex]3 = x + 2[/tex]
Subtract 2 from both sides:
[tex]x = 3[/tex]
If x is 3, plug it in:
[tex]3(3) + 2[/tex]
Simplify:
[tex]9 + 2 = 11[/tex]
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
