The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.
Since O represents the midway, both FO and OG must be equal.
3x + 17 = 7x - 15
Add 3x to both sides and subtract:
17 = 4x -15
To both sides, add 15:
32 = 4x
Subtract 4 from both sides:
x = 32/4
X = 8
Now that you know the value of X, find the lengths:
FO = 3x +17 = 3(8) +17 = 24 +17 = 41
OG = 7x -15 = 7(8) -15 = 56-15 = 41
Total length would be 41 + 41 = 82
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