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kupik [55]
3 years ago
11

I WILL MARK BRAINLIEST! I NEED HELP ASAP! Solve for x, y, and a.

Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

a = 14, x = 55, y = 60

Step-by-step explanation:

a: Find the number that is between 10 and 18, 10 + 18 = 28 divide by 2 = 14, so a = 14

x: Due to corresponding angles theorem, so x = 55 degrees

y: Straight line is 180 degrees, and as we can see at the left side of the image there's a straight line where only 55 degrees was identified so 180 - 55 = 125 and since x = 55 degrees due to corresponding angles, the angle above y is 120 also due to corresponding angles. A quadrilateral is 360 degrees, so:

125 + 55 + 120 + y = 360

180 + 120 + y = 360

300 + y = 360

y = 60

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Answer:

The result is the same.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

  • square 12 inches wide
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Hence we can find some information:

  • The area of the square is: 12^{2}  = 144 square inches
  • The area of a cookies is: r^{2}π = 3.14*1.5^{2} = 7.065 square inches
  • The total number of 3-inch cookies are: 4*4 =16

=> The total area of the cookies is: 16* 7.065 = 113.04 square inches

=> how much cookie dough is "wasted" when 3-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

If the diameter is increased to 4 inches => its radius: 2 inches, we have:

  • The area of a cookies is: r^{2}π = 2^{2} *3.14 = 12.56 square inches
  • The total number of 3-inch cookies are: 3*3 =9

=> The total area of the cookies is: 9* 12.56 = 113.04 square inches

=> how much cookie dough is "wasted" when 4-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

The result is the same.

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