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Mathematics 8 Online
OpenStudy (love_333):

Fast answer please, medal and fan. DF bisects angle EDG. Find FG.

OpenStudy (love_333):

Mehek (mehek14):

\(n+5=2n-6\)

OpenStudy (love_333):

@StudyGurl14 @Brill @boldjon

OpenStudy (love_333):

In that equation do I still need to combine like terms? @Mehek14

OpenStudy (boldjon):

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

Mehek (mehek14):

ye so move the variables to one side and other numbers to another side

OpenStudy (boldjon):

do u know what n is?

Mehek (mehek14):

@boldjon it's n + 5 = 2n - 6 not n + 9 = 4n - 6

OpenStudy (boldjon):

no think ur wrong

OpenStudy (boldjon):

n=5

OpenStudy (boldjon):

Then put 5 in for 9 on 4n-6

Mehek (mehek14):

@boldjon look at the measurements in the picture

OpenStudy (boldjon):

so 14

OpenStudy (boldjon):

oh lol \

Mehek (mehek14):

one side is n - 5 and the other is 2n - 6 how did you get n + 9 = 4n - 6

OpenStudy (love_333):

is n 11?

OpenStudy (boldjon):

i have idea how i messed up

Mehek (mehek14):

ye 11

OpenStudy (boldjon):

k so put 11 for n and solve

OpenStudy (boldjon):

that's give u ur answer ^_^

OpenStudy (love_333):

Okay yay thank you guys

Mehek (mehek14):

yw :)

OpenStudy (boldjon):

np

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