These triangles are similar because 2 pairs of angles are equal. I'm not very familiar with the acronyms in the list but I guess it must be AA.
The correct answers are:
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[A]: " (0, 0) " ; <u>AND</u>:
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[C]: " (-2, -1) " .
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Explanation:
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[A]: " (0, 0) " ; is correct;
Since, when "x = 0" and y = 0 :
"0 <span> > - 4 " ; which is correct.
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[B]: "(2, 1)" is incorrect, since:
when "x = 2" and "y = 1" ;
" 1 > 6" ; is incorrect.
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[C]: "(-2, -1)" ; is correct;
Since, when "x = -2" and y = -1" ; then:
"-2 <span> > -6 ; which is correct.
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[D]: " (-5, -1) " ; is INCORRECT.
since when "x = -5" and "y = -1 ;
then: -1 > 6 ; which is INCORRECT.
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Answer:
y = 5/7 x -5
Step-by-step explanation:
X/7- y/5=1
Multiply each side by 35 to clear the fractions
35(X/7- y/5) =1*35
5x - 7y = 35
Subtract 5x from each side
5x-5x-7y = -5x+35
-7y = -5x+35
Divide each side by -7
-7y/-7 = -5x/-7 +35/-7
y = 5/7 x -5
Answer:
[see below]
Step-by-step explanation:

We know that y is equal to x-2. We can just substitute x-2 for y since y is equal to it.
10x- 9(x-2)=24
Distribute.
10x- 9x+18= 24
x+18= 24
Subtract 18 on both sides.
x= 6
Now, plug in x.
y= (6)-2
y= 4
We can check this to see if this works:
4= 6-2, 4=4
10(6)- 9(4)= 24
60-36= 24, 24=24
x=6 and y=4
I hope this helps!
<em>~kaikers</em>