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Darina [25.2K]
3 years ago
14

Jin cut a round gelatin dessert into 8 equal pieces. Seven of the pieces were eaten. What is the angle measure of the dessert th

at was left? A)18 degree B)90 degree C) 22 1/2 degree D)45 degree
Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

We have been given that Jin cut a round gelatin dessert into 8 equal pieces. Seven of the pieces were eaten. We are asked to find the angle measure of the dessert that was left.

We know that there are 360 degrees degrees in a circle all the way around the center.

Since Jin cut all pieces of same size, so angle measure of all pieces will be equal.

To find the angle measure of each piece, we will divide 360 by 8.

\text{Angle measure of each piece of dessert}=\frac{360^{\circ}}{8}

\text{Angle measure of each piece of dessert}=45^{\circ}

Therefore, the angle measure of the dessert left dessert piece is 45 degrees and option D is the correct choice.

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__________________________________________________________
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 →  A  =  L  *  w   ;

                 in which:  
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So;  " A = L * w " ;  

Substitute the known expression for the "length, L" ;  & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:

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______________________________________________________

Note the formula for the perimeter, "P" ; 

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_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is:  "36" (meters) ;  

 →  2L + 2w  = 36 ;

 →  Let us plug in the values for "Length (L)" & "width (w)" ; 

 →  2(w + 4)  + 2w = 36  ; 

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</span>
to get: 

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      to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ; 

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___________________________________________________
 
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  →  The area of the rectangle is:  " 77 m² <span>" .
</span>__________________________________________________

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__________________________________________________
 
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to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________  

 →  36 m = ?  2L + 2w ?? ;

 →  36 m = ?  2(11 m) + 2(7 m) ?? ; 

 →  36 m = ?  22 m + 14 m ?? ; 

 →  36 m = ?  36 m ?  Yes! 
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