applesaucecrow applesaucecrow
  • 21-05-2021
  • Mathematics
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DF bisects EDG. Find FG. The diagram is not to scale. Show all steps.

DF bisects EDG Find FG The diagram is not to scale Show all steps class=

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akposevictor
akposevictor akposevictor
  • 26-05-2021

Answer:

FG = 14

Step-by-step explanation:

The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.

This implies that:

n + 9 = 4n - 6

Collect like terms

n - 4n = -9 - 6

-3n = -15

Divide both sides by -3

n = -15/-3

n = 5

✔️FG = 4n - 6

Plug in the value of n

FG = 4(5) - 6

FG = 20 - 6 = 14

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