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omeli [17]
3 years ago
10

In this diagram which equation could you prove to be true in order to conclude that the lines are parallel

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0

Answer:

D)\frac{B}{A} =\frac{C}{D}

Step-by-step explanation:

Remember that parallel lines have the same slope, and the formula for slope is:

m=\frac{y2-y1}{x2-x1}

So now, if you insert the values of each line, you would get:

Point 2 line 1 (0,B)O

Point 1 line 1  (-A,0)

Insert into the formula:

m=\frac{y2-y1}{x2-x1}\\m=\frac{B-0}{0-(-A)}\\m=\frac{B}{A}

That is the slope of line 1.

Point 2 line 2 (D,0)

Point 1 line 2 (0,-C)

Insert into the formula:

m=\frac{y2-y1}{x2-x1}\\m=\frac{0-(-C)}{D-0}\\m=\frac{C}{D}

So the slope for the line number 2 is: m=\frac{C}{D}

If both slopes are equal we can prove that they are parallel, so the correct option would be D)\frac{B}{A} =\frac{C}{D}

KiRa [710]3 years ago
3 0
I would say that the correct answer is D. because y is always the numerator while x is the denominator for the equation y2 - y1/x2 - x1 which means if there is two y's or two x's on the same line you subtract the second one from the first one. If there is only one y and/or x and the other is 0 on the same line, it stays at y or x without subtracting y2 - y1 or x2 - x1. 

Since b is on the y coordinate and -a is on the x coordinate, you would make it b/a while -a is gonna be a positive since the lines are going up and to the right. Now, since c is the y coordinate and d is the x coordinate, make C the numerator and d the denominator since y is always the numerator and x is the denominator for these parallel line figures on the graph and the equation will be equaled to the fraction to the other fraction for parallel lines. 

So, your answer would be D. b/a = c/d 

Hope this helps, and is correct! 

<em>~ ShadowXReaper069</em>
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Step-by-step explanation:

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Answer:

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A 95-foot wire attached from the top of a cell phone tower makes a 62 degree angle with the ground. Joey is standing 150 feet be
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Answer:

23.32 degrees

Step-by-step explanation:

We set up a large right triangle that has 2 triangles within it.  The large triangle is a right triangle.  The height of it is the height of the tower, the base angle is 62, the hypotenuse is 95, and the base measure is y.  The other triangle has the same height which is the height of the tower, the angle is what we are looking for, and the base measure is 150 feet beyond y, so its measure is y + 150.  We have enough information to find the height of the tower, so let's do that first.  Going back to the first smaller triangle.  

sin62=\frac{x}{95} so the height of the tower is 83.88 feet.  Now we need to solve for y.  Using that same triangle and the tangent ratio, we find that tan62=\frac{83.88}{y}.  Now let's do the same thing for the other triangle with the unknown angle.

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The second one solved for y will simplify to:

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Cross multiply to get this big long messy looking thing:

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Distribute through the parenthesis to get

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Get the unknown angles on the same side so it can be factored out:

83.88tan62=83.88tan\beta +[(tan62)(150tan\beta )]

And then factoring it out gives you:

83.88tan62=tan\beta(83.88+150tan62)

Divide to get

tan\beta =\frac{83.88tan62}{83.88+150tan62}

Do this on your calculator in degree mode to give you an angle measure of 23.32°.  I know this is really hard to follow without being able to draw the pics for you like I do in my classroom, but hopefully you can follow my description and draw your own triangles and follow from that!

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