The measure of an angle is 3/4 of 60 degrees. What is the measure of the complementary angle?

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

• In the first week, Terrance sold 30% more than Lee
• In the second week, Terrance sold 12 magazines, but Lee did not sell any
• Terrance sold 50% more than Lee by the end of the second week

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

  Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

  sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

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Answer:

The pairs of ( x,y) are ( -3 ,16) , ( 0,1) and ( 3,4)

Step-by-step explanation:

y = ( x -1)²

y   = x² - 2 x + 1

 for x = -3

y =( -3)² - 2 × -3 + 1

  = 9 +6 +1

  = 16

so ( x, y) = ( -3 , 16)

for x = 0

y = 0² - 2 ×0 + 1

  = 1

so ( x,y) = ( 0,1)

For x = 3

y = 3² - 2 × 3 +1

   = 9 - 6 +1

   = 4

( x,y) = (3 , 4)

so the pairs of ( x,y) are ( -3 ,16) , ( 0,1) and ( 3,4)