Answer: Given that H is the midpoint of GI, we know that the lengths of GH and FH are equal, as well as the lengths of FH and FI. This is a property of midpoints in a line segment.
So, we have:
GH = FH
3x + 1 = 3x + 27
However, notice that the equation above doesn't provide any information about x. It seems like there might be a mistake in the given information, because if GH and FH are equal, then FH should be 3x + 1 (since GH is 3x + 1 as well). But according to the given information, FH is 3x + 27, which doesn't match the property of midpoints.
Could you please double-check the values provided for FH and GH? If there's an error or if additional information is needed, please provide it so that I can assist you accurately.