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Arlecino [84]
3 years ago
6

The sum of three consecutive numbers is 267.what is the largest number

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0
Rather than trial and error, you can do this with an equation.

x + x+1 + x+2 = 267 =>
3x+3 = 267
x = 264/3 = 88

So the numbers are 88+89+90. 90 is the largest number.
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Suppose that angle COP and angle TOD are vertical angles, the measure of angle COP is 11x-17 and The measure of angle TOD is 9x+
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The measure of <COD  and <POT are 43 and 43degrees respectively

The point where two lines meet or intersect is known as an angle:

Is <COP and angle TOD are vertical angles, this means that they are equal i.e.

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Given that:

<COP = 11x - 17

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Equate both expressions

11x - 17 = 9x + 11

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x = 28/2

x = 14

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<COP = 11x - 17

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<COP = 154-17

<COP = 137 degrees

Since <COP = <TOD, hence <TOD = 137 degrees

Calculate <COD:

<COD + <TOD = 180

<COD + 137 = 180

<COD = 180 - 137

<COD  = 43 degrees

Also <POT = <COD = 43degrees(vertically opposite angles)

Hence the measure of <COD  and <POT are 43 and 43degrees respectively

Learn more here: brainly.com/question/17247176

4 0
2 years ago
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7 0
3 years ago
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Answer:

The answer is \frac{3}{2}

Step-by-step explanation:

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balu736 [363]

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