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Mathematics

1 answer:

Mkey [24]2 years ago

5 0

Answer:

x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

(2x +8) +(2x +4) = 180

4x +12 = 180 . . . . . . . . . simplify

x +3 = 45 . . . . . . . divide by 4 (because we can)

x = 42 . . . . . . subtract 3

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Additional comment

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

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Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

$\sf \boxed{\sf x-20}=y$
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Distribute:

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WITCHER [35]

Answer:

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Step-by-step explanation:

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