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seropon [69]
3 years ago
11

Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.

Mathematics
1 answer:
babymother [125]3 years ago
7 0
<h3>Answer: Choice B</h3>

Reflection along y axis

Translation: (x,y) \to (x,y-3)  which means we shift 3 units down

===========================================================

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation (x,y) \to (x,y-3)

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively.  Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

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The answer is 9.

To calculate this, we will use Galileo's square cube law, used to describe the change of the area or the volume of the shape, when their dimensions increase or decrease. The formula used for change of the area is
A_2= A_1 (\frac{l_2}{l_1} )^{2}
A₂ - the area after the change,
A₁ - the area before the change,
l₂ - the dimension after the change,
l₁ - the dimension before the change.


It is given:
l₁ = 1 cm
l₂ = 3 cm

Let's use this formula for the mentioned triangle:
A_2=A_1( \frac{l_2}{l_1}) ^{2}  =A_1( \frac{3}{1})^{2} =A_1*3 ^{2} =9A_1

Therefore, the area of the triangle was multiplied by 9.
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3 years ago
The average salary for a construction worker is $29,160 per year. A veterinarian makes on average $84,460. If you consider the e
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Hey ! 

I am going to explain what I did to get the answer...

I multiplied $29,160 by 30 = $874,800
Then I multiplied $84,460 by 30 = $2,533,800 

Then I subtracted the results = a difference of $1,659,000

So the answer to your question is, $1,659,000 is the difference. 

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Answer:

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Step-by-step explanation:

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