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kolezko [41]
4 years ago
11

AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y

Mathematics
2 answers:
SVEN [57.7K]4 years ago
7 0

Answer:

y = 108˚

Step-by-step explanation:

2x + 16 = 3x + -12

16 + 2x = 3x + -12

16 + 2x = -12 + 3x

16 + 2x = -12 + 3x

x = 28˚

28 x 3 = 84

84 - 12 = 72

180 - 72 = 108˚

mylen [45]4 years ago
5 0

Answer: 28

Step-by-step explanation:

Simplifying

2x + 16 = 3x + -12

Reorder the terms:

16 + 2x = 3x + -12

Reorder the terms:

16 + 2x = -12 + 3x

Solving

16 + 2x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

16 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x

16 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0

16 + -1x = -12 + 0

16 + -1x = -12

Add '-16' to each side of the equation.

16 + -16 + -1x = -12 + -16

Combine like terms: 16 + -16 = 0

0 + -1x = -12 + -16

-1x = -12 + -16

Combine like terms: -12 + -16 = -28

-1x = -28

Divide each side by '-1'.

x = 28

Simplifying

x = 28

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Answer:

The unknown value is being subtracted from 226 is 160

Step-by-step explanation:

Long division setup showing an incomplete calculation

  • 16 is in the divisor
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  • 2 hundreds and 1 tens is written in the quotient
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so,

The dividend = 3426

 The divisor = 16

2 hundreds means 200 and 1 tens means 10

∵ The quotient = 200 + 10 + x

∵ Dividend = divisor × quotient

∴ (16 × 200) + (16 × 10) + (16 × x) +remainder  = 3426  

∵ 16 × 200 = 3200

Subtract 3200 from the dividend  

∴ 3426 - 3200 = 226

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∴ 226- 160 = 66

⇒160is the unknown value

∵ 16 × x = 16x  

∵ 66 - 16x = 0

∴ 66 = 16x

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∴ x = 4  and remainder = 2

∴ 3426 ÷ 16 = 200 + 10 + 4

∴ 3426 ÷ 16 = 214  

∴ From the steps above the missing number subtracted from

  226 is 160

The unknown value is being subtracted from 226 is 160

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