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igomit [66]
2 years ago
7

If two triangles have three congruent, corresponding

Mathematics
1 answer:
Tcecarenko [31]2 years ago
5 0

Answer:

  a pair of corresponding sides must be shown congruent

Step-by-step explanation:

The triangles are "similar" if corresponding angles are congruent. The triangles will only be "congruent" if corresponding sides are also congruent. The additional information needed is that <em>there is one congruent pair of corresponding sides</em>. (If there's one pair, all pairs of corresponding sides will be congruent.)

Having one pair of corresponding sides congruent would allow you to invoke either of the ASA or AAS congruence postulates.

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2 years ago
Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

Which is for this case:

m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

m=-4

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at:  y=64

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

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2 years ago
Determine the slope of the line 5x + 3y + 12 = 0 .
vazorg [7]
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5x + 3y + 12 = 0
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y = mx + b
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2 years ago
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