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BARSIC [14]
3 years ago
13

The triangles are congruent by the SSS congruence theorem. Which transformation(s) can map BCD onto WXY? rotation only reflectio

n only translation, then rotation translation, then reflection

Mathematics
2 answers:
Lena [83]3 years ago
4 0

Answer:

Translation then rotation

Step-by-step explanation:

When transforming the geometric shapes

rotation means turn,

reflection means flip,

translation means slide/move.

Here, we see that ΔBCD can be mapped on ΔWXY by rotating the former counterclockwise and sliding it. Or the same can  be achieved by first sliding the triangle and then rotating it counterclockwise.

Hence the answer is translation then rotation.

NikAS [45]3 years ago
3 0

Answer:  The correct transformations are translation, then rotation.

Step-by-step explanation: Given that the triangles BCD and WXY are congruent by SSS congruence theorem.

We are given to choose the correct transformations that can map ΔBCD onto ΔWXY.

According to the given information in the figure, the pairs of corresponding vertices of both the triangles are (B, W), (C,X) and (D, Y).

At first, we will translate ΔBCD vertically and horizontally by particular units, so that the vertex 'D' of  ΔBCD coincides with the corresponding vertex 'Y' of ΔWXY.

After that, we will rotate ΔBCD anticlockwise about the common vertex 'D' or 'Y' through an angle of 90°, so that all the corresponding sides of ΔBCD and ΔWXY coincide with each other.

Therefore, the correct transformations are translation, then rotation.

Thus, (C) is the correct option.

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Answer:

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For the second question (How much more per year will this be if she works 50 weeks per year), the answer is 25$ extra a year.

First i multiplied $12 times 36.

$12 x 36 = $432

Then i multiplied $15 times 4.

$15 x 4 = $60

Now add those together

$432 + $60 = $492

That's how much she would make in a week for the first job, if she worked 40 hours a week.

For the second job, i did the exact same process.

$11.50 x 35 = $402.5

$18 x 5 = $90

$402.5 + $90 = $492.5

She would get 50 more cents a week, if she worked 40 hours a week.

For the second question, i multiplied the first job total by 50, since she is working 50 weeks a year.

$492 x 50 = $24,600

Thats her total of a year, for the first job.

Do this with the second job.

$492.5 x 50 = $24,625

As you can see, she would get $25 more in the second job, than the first job.

I hope this helped!

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Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

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