a square rotated about its center by 360° maps on to itself at (1, 2, 3, or 4) different angles of rotation.
a square rotated about its center by 360° maps on - 1

Answers

Answer 1
Answer: A square rotated around its center maps onto itself every 90° of rotation.
If you rotate it a full 360°, then that happens 4 times.
Answer 2
Answer:

Answer: no rotation because only reflections through the center of a square can map it onto itself


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The length of a swimming pool is 8m longer than its width and the area is 105m2

Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place? A. a reflection across the line y = x followed by a reflection across the line y = -x B. a reflection across the x-axis followed by a reflection across the y-axis C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x D. a reflection across the y-axis followed by a reflection across the x-axis

Answers

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'

Using the quadratic formula to solve 2x^2 = 4x – 7, what are the values of x?

Answers

For this case we have the following quadratic equation:

2x ^ 2 = 4x - 7

Rewriting the equation we have:

2x ^ 2 - 4x + 7 = 0

From here, we have:

a=2 b = -4c = 7

Substituting values in the quadratic equation we have:

x = (-b+/-√(b^2-4ac))/(2a)

x = (-(-4)+/-√((-4)^2-4(2)(7)))/(2(2))

Rewriting the equation we have:

x = (4+/-√(16-56))/(4)

x = (4+/-√(-40))/(4)

x = (4+/-√(-4*10))/(4)

x = (4+/-2i√(*10))/(4)

x = (2+/-i√(*10))/(2)

Answer:

The values of x are given by:

x = (2+i√(*10))/(2)

x = (2-i√(*10))/(2)

Answer:

Is C.

Ccccccccccccccc

What multiples of 2 are not factors of 24?

Answers

a factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers)

so a factor must be less than the number

any multiple of 2 greater than 24 will work so
just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on

560 children attended a show. 0.6 were girls. How many were girls

Answers

560*0.6 = 336 girls

Use the drawing tool(s) to form the correct answer on the provided graph.Consider the function below.

h(x) = x^{2] - 2x - 8

Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.

Answers

Hello,
Please, see the attached files.
Thanks.

The total operating cost for the truck is $400 000 per year. The percentage breakdown of this total amount was:40%: Fixed costs (insurance, registration, wages)
30%: Fuel
20%: Finance
10%: Maintenance (service, repairs, tyres)

Suppose the fuel price increases from $1.50 to $1.60 per litre.

How much does this add to the total operating cost per year?

Answers

30% x 400,000 = 120,000
1.5 -> 1.6 = 6.6666667% increase.

120,000 x 1.06666667 = 128,000

Therefore the new operating cost is 128,000 + 280,000 or $408,000.