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Hbadgerdontcare

  • 2 years ago

segment DF bisects angle EDG . Find FG. The diagram is not to scale.

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  1. Hbadgerdontcare
    • 2 years ago
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  2. LogicalApple
    • 2 years ago
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  3. Hbadgerdontcare
    • 2 years ago
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    thats fg?

  4. LogicalApple
    • 2 years ago
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    No, I just demonstrated how to solve for n. Once you do that, then you can solve for FG.

  5. Hbadgerdontcare
    • 2 years ago
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    i need help

  6. BrittanyFrench
    • 2 years ago
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    Bisect mean scut in hald, so you will always set equations equal when it says that then solve for n.

  7. LogicalApple
    • 2 years ago
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    In the picture, we have two triangles. Since EDG was bisected, that means angle EDF and angle FDG are equal. We also see that the triangles contain 90 degree angles as well. Since two of three angles are the same, this means the third angle must also be the same. Because the triangles contain the same angle measurements, they are similar. Because they both share the same side, and all three angles, then the two triangles must be congruent. This means that EF = FG or, equivalently n + 9 = 4n - 6 Solve this equation for n, then plug that value into FG

  8. BrittanyFrench
    • 2 years ago
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    Exactly what he said!

  9. Hbadgerdontcare
    • 2 years ago
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    wanna solve it for me?

  10. BrittanyFrench
    • 2 years ago
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    just set it up it's not that difficult. I can walk you thru, but will not solve

  11. Hbadgerdontcare
    • 2 years ago
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    n=5

  12. BrittanyFrench
    • 2 years ago
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    Then put 5 in for 9 on 4n-6 and you'll get your length

  13. BrittanyFrench
    • 2 years ago
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    meant put it in for n sorry

  14. Hbadgerdontcare
    • 2 years ago
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    14

  15. BrittanyFrench
    • 2 years ago
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    yupp that's what I got.

  16. BrittanyFrench
    • 2 years ago
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    good job!

  17. Hbadgerdontcare
    • 2 years ago
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    thanks

  18. BrittanyFrench
    • 2 years ago
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    welcome do you understnad better now?

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