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SIZIF [17.4K]
2 years ago
13

If segment DF is an angle bisector, solve for x

Mathematics
1 answer:
klasskru [66]2 years ago
8 0

Answer:

x = 19

Step-by-step explanation:

Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is

\frac{DE}{DG} = \frac{EF}{GF} , substitute values

\frac{25}{22.5} = \frac{x-9}{9} ( cross- multiply )

22.5(x - 9) = 225 ( divide both sides by 22.5 )

x - 9 = 10 ( add 9 to both sides )

x = 19

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