The statement that justifies why ∠EBC measures 90° is that the  sum of the measures of two complementary angles is 90 degrees.
<h3>What are  
complementary angles?</h3>
The  complementary angles are angles that when we find their  sum  it will be  equal to 90 degrees and that is why its been regarded as the  complementary angles.
We can see that m∠ABD and m∠DBC are complementary, because m∠ABD + m∠DBC=90° 
Therefore, The statement that justifies why ∠EBC measures 90° is that the  sum of the measures of two complementary angles is 90 degrees.
Read more about complementary angles  ;
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10x - 7y = -1....multiply by -1 to make that -7y positive
-2x - 7y = -25
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-10x + 7y = 1 (result of multiplying by -1)
-2x - 7y = -25
-----------------add
-12x = - 24
x = 2
-2x - 7y = -25
-2(2) - 7y = -25
-4 - 7y = -25
-7y = - 25 + 4
-7y = - 21
y = 3
solution is : (2,3)
        
             
        
        
        
Answer: 5
Step-by-step explanation:
 
        
                    
             
        
        
        
Hello!
These | | you are seeing means absolute value. Absolute value is the distance a number is from 0. For example, the absolute value of -3, or |-3|, would be 3 as -3 is 3 away from 0.
Therefore, we can look at these two operations. |-12|, and |8|
|-12| would equal 12, as -12 is 12 away from 0. |8| would equal 8, as 8 is 8 away from 0. 12 is greater than 8.
Therefore, your answer is the second choice, |-12|>|8|.
Hope this helps!