Answer:
[tex]\displaystyle 25 = GQ[/tex]
Step-by-step explanation:
If point Q is the centre of GH, then QH and GQ are equivalent segments. So, double the length of GQ, set it equal to the length of GH, then solve for x:
[tex]\displaystyle \boxed{4x + 6} = 2[2x + 3] \\ \\ 5x - 5 = 4x + 6 \hookrightarrow -11 = -x \hookrightarrow \boxed{\boxed{11 = x}}[/tex]
Plug the result into the expression for the length of GQ to get twenty-five units.
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