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alisha [4.7K]
3 years ago
15

Find the value of x in each case: If you solve this correctly, I will give you brainliest pleasee help

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

\text{Hello there! :)}

\huge\boxed{x = 22.5}\text{Since we know that DE and AC are parallel,}\\\\\text{We can use the Alternate-exterior angle congruency to determine the value of "x":}\\\\6x = 2x + \text{ The supplement of 4, therefore:}\\\\6x = 2x + 180 - 4x\\\\\text{Isolate the "x" variable by adding 4x and subtracting 2x from both sides:}\\\\8x = 180\\\\\text{Divide both sides by 8:}\\\\\boxed{x = 22.5}

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Answer:

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Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

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× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

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