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salantis [7]
3 years ago
8

3(8 – 4x) < 6(x – 5)

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

3\left(8-4x\right)

3(8-4x)=241-2x

6(x-5)=6x-30

24-12x

Subtract 24 from both sides

-12x

Now, subtract 6x from both sides

-18x

Multiply both sides by -1

18x>54

Divide 18 from both sides

x>3

<u>OAmalOHopeO</u>

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You start driving north for 12 miles, turn right, and drive east for another 16 miles. How many miles must you travel to return
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The driver has to drive 20 miles to come back to the starting point directly

Step-by-step explanation:

The driver has driven in the form of two legs on a right-angled triangle where the vertical side (perpendicular) is 12 miles and the horizontal side (base) is 16 miles.

Now as the driver has to return back to the starting point directly, it will form a right-angled triangle making the direct path a hypotenuse

So,

B = 16

P = 12

H = ?

we have to find the hypotenuse

As the triangle is a right angled triangle, we can use the Pythagoras theorem to find the length of hypotenuse So,

H^2 = B^2 + P^2\\H^2 = (16)^2 + (12)^2\\H^2 = 256+144\\H^2 = 400

taking Square root on both sides

\sqrt{H^2} = \sqrt{400}\\H = 20

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The driver has to drive 20 miles to come back to the starting point directly

Keywords: Pythagoras theorem, Right angled triangle

Learn more about Pythagoras theorem at:

  • brainly.com/question/750742
  • brainly.com/question/7419893

#LearnwithBrainly

4 0
4 years ago
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