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diamong [38]
3 years ago
11

How do you determine if a pair of lines are parallel? For example, the lines -3x+8y=24 and 3x-8y=7?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

first you put this equation into y=mx+b form then you look at the slope of the equation. if both of the slopes are same then its parallel.


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Answer:

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Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, BE = EC or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft

Therefore, the building is 32 feet tall.

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3 years ago
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