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OpenStudy (anonymous):
The figure below shows two congruent triangular parks. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.
OpenStudy (anonymous):
OpenStudy (anonymous):
help !!!
OpenStudy (mertsj):
What does it mean to say that two triangles are congruent?
OpenStudy (anonymous):
lyk if they have the same width and length
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OpenStudy (mertsj):
It means that the corresponding sides are equal and the corresponding angles are equal.
OpenStudy (anonymous):
ya
OpenStudy (mertsj):
So write and solve the equation that says those sides are equal
OpenStudy (anonymous):
kk
OpenStudy (anonymous):
2x + -3 + x + 5 ????
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OpenStudy (mertsj):
They are EQUAL. Put an equal sign between them
OpenStudy (anonymous):
oh ...... smh
OpenStudy (anonymous):
2x + -3 = x + 5 ?
OpenStudy (mertsj):
Solve that.
OpenStudy (anonymous):
gimme a sec
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OpenStudy (anonymous):
x = 2 .... i forgot how to do these problems
OpenStudy (mertsj):
1. Subtract x from both sides
2. Add 3 to both sides.
OpenStudy (anonymous):
so x=4 ???
OpenStudy (mertsj):
2x-3=x+5
-x -x
x-3=5
OpenStudy (mertsj):
That's what you get when you subtract x from both sides
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OpenStudy (mertsj):
Now add 3 to both sides
OpenStudy (mertsj):
x-3=5
+3 +3
x=8
OpenStudy (anonymous):
wow ..... srry bout that
OpenStudy (mertsj):
Actually I guess you didn't even have to solve the equation because the problem asked what equation would help you find the length of those two sides.
OpenStudy (anonymous):
9 ???
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OpenStudy (mertsj):
What do you mean?
OpenStudy (anonymous):
nvm ...... so what di i do now ????
OpenStudy (anonymous):
do ya have the answer
OpenStudy (mertsj):
I think you are done. Are you trying to find the length of the sides?
OpenStudy (anonymous):
its says to explain.... explain what
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OpenStudy (mertsj):
Let's take it one step at a time.
1. What equation would help you find the length of sides BC and EF?
OpenStudy (anonymous):
2x-3=x+5
OpenStudy (mertsj):
Very good.
Now the second question. Why does that equation help you find BC and EF?
OpenStudy (anonymous):
idonno
OpenStudy (mertsj):
The two triangles are congruent. That means that BC=EF. The equation I wrote sets BC equal to EF.
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OpenStudy (anonymous):
ok now what
OpenStudy (mertsj):
That is the reasoning that the problem asked you to give.