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alex41 [277]
3 years ago
13

Find the value of X and Y

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

x = 19 , y = 54

Step-by-step explanation:

  • 3x+5 and 6x-14 are linear pair angles, they add up to 180
  • (3x+5)+(6x-14)=180\\3x+6x+5-14=180\\9x-9=180\\9x=171\\x=19
  • So angle 3x + 5 = 3 (19) + 5 = 62 degrees
  • angle 62 and angle y+8 are corresponding angles, so they are equal
  • y+8=62\\y=54
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<h2>Hello!</h2>

The answer is:

It will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

<h2>Why?</h2>

To calculate how long after they start they will be 3/4 miles apart, we need to write two equations.

So, writing the equations, we have:

Calculations for Ava:

We have the following information,

v_{Ava}=6mph

Then, writing the equation,

x_{Ava}=x_{o}+v_{Ava}*t

x_{Ava}=x_{o}+v_{6mph}*t

Calculations for Kelly:

We have the following information,

v_{Kelly}=8mph

We need to calculate when Kelly will be 3/4 miles apart of Ava, so, it's position will be the Ava's position plus 3/4 miles.

Then, writing the equation,

x_{Ava}+0.75miles=x_{o}+v_{Kelly}*t

x_{Ava}+0.75miles=x_{o}+v_{8mph}*t

Now, substituting Ava's speed into the second equation, we have:

x_{o}+6mph*t+0.75miles=x_{o}+8mph*t

6mph*t+0.75miles=+8mph*t

8mph*t-6mph*t=0.75miles

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Hence, we have that it will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

Have a nice day!

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