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Phoenix [80]
3 years ago
9

What is the measure of arc ADC?

Mathematics
2 answers:
creativ13 [48]3 years ago
4 0

Answer:

315

Step-by-step explanation:

The other answer is correct, a minor clarification

measure of an arc is an angle, if the text had wanted the physical length of the arc ADC it would have asked for arc length of ADC

Aleksandr-060686 [28]3 years ago
3 0

Answer: The answer would be 315 if you are looking for the remaining angle if you're looking for the actual measure of the remaining section of the circumference, then the answer would be approximately 49.481

Step-by-step explanation:

Because the remainder of the circle is the answer you're looking for, you can subtract 45 from 360 and get your answer, whenever you know the measure of one angle, and you are looking for the remaining angle, you can use this strategy.

You already know the angel of the remainder, and you can use this to find the section of the circumference shown. First you need to find the circumfrence, to do this you must use the equation C equals pi radius squared. You put 9 in for the radius and you get approximately 56.55, you then divide this by 360 and get 0.15708333, you then multiply it by the angle you found early, 315. You then should get approximately 49.48125.

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Solve the system using substitution.
salantis [7]
The answer is:  [B]:  (13, -5)  .
______________________________________________________
Explanation:  Using Substitution:
______________________________________________________
   y = 8 − x ;

   7 = 2 − y ;
___________________________________
Solve for "x" and "y" using using substitution;
_________________________________________

Take the second equation given:
____________________________________________
    7 = 2 − y ; 

And considering the first equation given: " y = 8 − x " ;
_________________________________________________
Substitute the value: "8 − x"  for (the value of "y" in the first equation given), in order to solve for "x" ;
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   7 = 2 − y ; 
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   7 = 2 −  8  − x ;
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   7 = -6 − x ;   
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Add  "6" to EACH side of the equation:
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   7 + 6 =  -6 − x + 6 ;
__________________________________________
   to get:  13 =  -x  ;
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      13 =  -x  ;  ↔   -x  = 13 ; ↔  -1 x  = 13 ;
___________________________________________
   Divide EACH side of the equation by "-1 " ;  to isolate "x" on one side of the equation; and to solve for "x" ;
___________________________________________
        -1 x / -1  = 13 / -1 ;
___________________________________________
          x  =  13 .  At this point, the only answer choice that can be correct is answer choice: "[B]: (13, -5)" ; since it is the only answer choice given with a solution of x = 13; 
___________________________________________
Nonetheless, we shall continue.
___________________________________________
Now that we have the solution for "x";  "x = 13";  We shall plug this value into, or "SUBSTITUTE" this value, "13", for "x", into the first equation given, " y = 8 − x " ;  to find the value of  "y"  ; as follows:
__________________________________________
     y = 8 − x ;
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     y = 8 − 13 ;
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     y = -5 .
_____________________________________________
So, we have x = 13; and y = -5; or write as: (13, -5) .   This solution corresponds directly which answer choice: [B]:
__________________________________________________
Also, to confirm, let us plug in our solved value for "y", which is "-5" ; into our second equation, to see if the equation holds true:
_____________________________________________
  7 = 2 − y ;
_____________________________________________
  7 =?  2 −  (-5)  ?? ; 
 _____________________________________________
 7 =?   2 +  5 ? ? Yes !
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