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Stells [14]
3 years ago
12

Find the value of x that makes lines u and v parallel. ​

Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

From the picture attached,

If the lines u and v are parallel and a third line (transversal) is intersecting these lines at two distinct points,

Both the angles given in the picture, will be equal in measure as these angles are interior alternate angles.

16x = 15x + 5

16x - 15x = 5

x = 5

Therefore, x = 5 makes the lines v and u parallel.

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two cars travel at same speed to different destinations. car A reaches its destination in 24 minutes. car B reaches its destinat
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Answer:

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Step-by-step explanation:

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Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : v=\frac{distance}{time}. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.

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Now we solve for d_A in this last equation and make the substitution in the equation for car A:

v\,*\,32\,min=d_A+5\,miles\\d_A=v\,*\,32\,min-5\,miles\\\\v\,*\,24\,min=v\,*\,32\,min-5\,miles\\v\,(24\,min-32\,min)=-5\,miles\\v\,(-8\,min)=-5\, miles\\v=\frac{-5}{-8} \frac{miles}{min} \\v=0.625\,\frac{miles}{min}

So this is the speed of both cars: 0.625 miles/minute

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