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Leya [2.2K]
2 years ago
8

What is the equation of a line parallel to y=(3)/(4)x-5 and passes through (12,-2)?

Mathematics
1 answer:
Vika [28.1K]2 years ago
3 0

A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.



Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b

-2 = (3/4)*(12) + b

You'll get b= -11

So the equation of the parallel line intersecting the point given is y= 3/4x -11.

I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.

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const2013 [10]

Answer:

1.) Triangle ABC is congruent to Triangle CDA because of the SAS theorem

2.) Triangle JHG is congruent to Triangle LKH because of the SSS theorem

Step-by-step explanation:

Alright. Let's start with the 1st figure. How do we prove that triangles ABC and CDA (they are named properly) are congruent? First, we can see that segments BC and AD have congruent markings, so that can help us. We also see a parallel marking for those segments as well, meaning that the diagonal AC is also a transversal for those parallel segments. That means we can say that angle CAD is congruent to angle ACB because of the alternate interior angles theorem. Then, the 2 triangles also share the side AC (reflexive property).

So, we have 2 congruent sides and 1 congruent angle for each triangle. And in the way they are listed, this makes the triangles congruent by the SAS theorem since the angle is adjacent to the 2 sides that are congruent.

The second figure is way easier. As you can clearly see by the congruent markings on the diagram, all the sides on one triangle are congruent to the other. So, since there are 3 sides congruent, we can say the triangles JHG and LKH are congruent by the SSS theorem.

4 0
3 years ago
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Divide 180 kg in the ratio 1:8
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Answer:

12x2+2x6x34÷1613÷14

Step-by-step explanation:

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What function equation is represented by the graph? f(x)=14x+3 f(x)=−4x−3 f(x)=−14x−3 f(x)=14x−3
Vladimir [108]

See the explanation

<h2>Explanation:</h2>

Remember you have to provide complete questions in order to get exact answers. Here I'll provide a general explanation, so:

<h3>First.</h3>

f(x)=14x+3

The slope is:

m=14

The y-intercept is:

b=3

By using graphing tool, we get the first graph shown below.

<h3>Second.</h3>

f(x)=-4x-3

The slope is:

m=-4

The y-intercept is:

b=-3

By using graphing tool, we get the second graph shown below.

<h3>Third.</h3>

f(x)=-14x-3

The slope is:

m=-14

The y-intercept is:

b=-3

By using graphing tool, we get the third graph shown below.

<h3>Fourth.</h3>

f(x)=14x-3

The slope is:

m=14

The y-intercept is:

b=-3

By using graphing tool, we get the fourth graph shown below.

<h2>Learn more:</h2>

Linear inequalities: brainly.com/question/12984296

#LearnWithBrainly

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