if RS=5x-7, ST= 2x=8 and RT= 2x-5. what is theperimeter of triangle RST? is it 51, 45, 57, or 47?
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OpenStudy (dtan5457):
Is there a given value for x? Seems like there is missing information to solve this
OpenStudy (anonymous):
there is no shown value for x. i got 9x+6 i just dont know how to reach the correct answer of 51.
OpenStudy (anonymous):
angles r & t are congruent
Nnesha (nnesha):
ST = 2x ( plus or minus ) 8 ?
OpenStudy (anonymous):
plus 8
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Nnesha (nnesha):
how did you get 9x +6 ?? :o
OpenStudy (anonymous):
by adding the segments together
Nnesha (nnesha):
\[\huge\rm 5x-7+2x +8 +2x -5 \cancel=9x +6\]
Nnesha (nnesha):
-7+8-5 =?
OpenStudy (nikato):
|dw:1429478267085:dw|
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OpenStudy (anonymous):
-4?
Nnesha (nnesha):
yes
OpenStudy (nikato):
since <R=<T, its an isoscles triangle with side RS=ST.
so
5x-7=2x+8
and you can solve for x.
then just plug this value to whatever expression you get when you add all three sides
OpenStudy (anonymous):
how do i reach 51?
OpenStudy (nikato):
well. now you know the perimeter is 9x-4
and using that equation i gave you above, solve for x
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