2 years ago

Giving Brainliest to who can solve!

Mathematics

1 answer:

son4ous [18]2 years ago

7 0

Answer:

NF = 16

Step-by-step explanation:

Since N is the incenter of ΔABC then ND = NE = NF

ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3

Now , we calculate ND:

ND = 6(3) - 2 = 18 - 2 = 16

and because NF = ND then NF is also equal to 16

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