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ratelena [41]
3 years ago
12

Which composition of transformations would be the inverse of rotating a figure 90° counterclockwise and then reflecting it over

the x-axis?
Mathematics
2 answers:
Tom [10]3 years ago
8 0
It is a 90 degree angle       
bulgar [2K]3 years ago
7 0

Answer:

Therefore reflecting it over the x-axis, then over the y-axis and finally over the line y = x is the correct answer.

Step-by-step explanation:

Rotating a figure counterclockwise 90° and then reflecting it over the x-axis causes the coordinates to change from (x, y) to (-y, -x). To find the inverse you need to find a set of transformations that will take the coordinates (-y, -x) and change them to (x, y). When you reflect a figure over the x-axis the coordinates change from (-y, -x) to (-y, x). If you then reflect it over the y-axis the coordinates would change from (-y, x) to (y, x) and finally reflecting that point over the line y =x would cause the coordinates to change from (y, x) to (x, y).

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From a random sample of 40 people at a dinner party, 15 ordered the steak dinner. If there are a total of 212 people at the dinn
vesna_86 [32]
B maybe or A
Because 15 percent of 212 is 31.8 so it’s closer to 40 maybe
5 0
3 years ago
!!HELP ASAP!! What is the surface area of the rectangular pyramid below?
creativ13 [48]

Answer:

D. 507 square units

Step-by-step explanation:

surface area of the rectangular pyramid

= area \: of \: base  + 4 \times area \: of \: one \:  \triangle \\  \\  =  {13}^{2}  +  4 \times \frac{1}{2}  \times 13 \times 13 \\  \\  = 169 + 2 \times 169 \\  \\  = 169 + 338 \\  \\  = 507 \:  {units}^{2}  \\

8 0
3 years ago
PLEASE HELP!!! GIVING BRAINLIEST
Anvisha [2.4K]

Answer:Column one answers:

1: 490

2:396

3.18

4.10

Column 2:

1. 490

2.396

3.18

4.100

Column 3:

1.490

2.396

3.18

4.100

Hope this helps if you need more then just ask

7 0
3 years ago
How do I solve equations with fractions?
ratelena [41]

2y - 3/5 = 1/2

  • Add 3/5 to both sides.

2y = 1/2 + 3/5

  • Let's make the two fractions have common denominators.
  • Multiply 1/2 by 5/5 and 3/5 by 2/2.
  • 1/2 * 5/5 = 5/10
  • 3/5 * 2/2 = 6/10

2y = 5/10 + 6/10

Add the two fractions.

2y = 11/10

Divide both sides by 2.

  • 11/10 ÷ 2
  • Use the Keep, Change, Flip method.
  • Keep 11/10, change ÷ to ×, and flip the 2 (reciprocal).
  • 11/10 × 1/2 = 11/20

y = 11/20

4 0
2 years ago
There is a bag filled with 5 blue and 6 red marbles.
Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

\displaystyle P\left(\text{Red}\right)=\frac{6}{11}

Since the marble is replaced, the probability of getting another red is: \displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}

The probability of getting a blue marble first is:

\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}

And the probability of getting another blue is:

\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}

So, the probability of getting two of the same color is:

\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

4 0
2 years ago
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