The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base?
A. 4
B. 6
C. 3
D. Cannot be determined
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OpenStudy (anonymous):
ooh lengths nvm
OpenStudy (anonymous):
okay but i am still confused on how you would find this answer
OpenStudy (anonymous):
can you solve \[x+1=-x+7\]?
OpenStudy (anonymous):
in you can't that is fine, i will show you
OpenStudy (anonymous):
no i cant
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OpenStudy (anonymous):
a) add \(x\) to both sides, get \[2x+1=7\]
OpenStudy (anonymous):
can you solve that ?
OpenStudy (anonymous):
2x=6 x=3
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
and the base is \[3x-3\] so put a \(3\) where you see \(x\)
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OpenStudy (anonymous):
huh
OpenStudy (anonymous):
3 (3)-3
OpenStudy (anonymous):
yes exactly
what is that number?
OpenStudy (anonymous):
9-3
6
OpenStudy (anonymous):
bingo
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OpenStudy (anonymous):
so what answer is it
OpenStudy (mathmale):
You have a formula for the length of the base, and you have a value for x.
You calculate the length of the base using this info.
OpenStudy (anonymous):
6
OpenStudy (mathmale):
sunshine0829
9-3
6
You obtained that result earlier. Why are you asking "so what answer is it?"