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777dan777 [17]
2 years ago
6

In each figure, a|| b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain

your answer.
a. Yes; it is one reflection after another with respect to the two parallel lines.
b. No; it is a reflection followed by a translation.
c. No; it is a reflection followed by a rotation.
d. No; it is one reflection after another with respect to the two parallel lines.

Mathematics
2 answers:
barxatty [35]2 years ago
6 0

Answer:

b. No; it is a reflection followed by a translation.

Step-by-step explanation:

If we look at the given three figures, we can see that the second image is the reflection or mirror image of the first figure.

After reflection, it is translated, means moved apart from the first figure.

So, the third figure is a reflection of first figure, and then it is translated.

Therefore, option b. No; it is a reflection followed by a translation. - is correct.

stellarik [79]2 years ago
4 0

Answer should be:

b. No; it is a reflection followed by a translation.

Hope it helps.

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Step-by-step explanation:

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Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls and that 2 balls are chosen at random without replac
Contact [7]

\frac{2}{170}

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2 years ago
If m< LMP is 11 degrees more than m< NMP and m< NML =137, find each measure
Agata [3.3K]

First, note that for angles LMP and NMP you have

m\angle LMP+m\angle NMP=m\angle NML.

If m\angle LMP is 11^{\circ} more than m\angle MNP, then

m\angle LMP=m\angle NMP+11^{\circ}.

Now, since m\angle MNL=137^{\circ}, you have

137^{\circ}=m\angle NMP+11^{\circ}+m\angle NMP,\\ \\2m\angle NMP=137^{\circ}-11^{\circ}=126^{\circ},\\ \\m\angle NMP=63^{\circ}.

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m\angle LMP=63^{\circ}+11^{\circ}=74^{\circ}.

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7 0
2 years ago
How many 5-digit numbers are there that are divisible by either 45 or 60 but are not divisible by 90?
o-na [289]

Answer:

2500 numbers

Step-by-step explanation:

Problem;

 Solving for the number of 5-digit numbers divisible either by 45 or 60 but not divisible by 90;

 Let us approach this in a step wise manner;

  5 -digits numbers ranges from 10,000 to 99,999

To solve this problem, let us find the number of digits that are divisible by 45;  

  the first number divisible by 45 within this range is 10035

   the last number divisible by 45 in this range is 99990

    increment is 45

The total number in this range is:

           \frac{last number - first number}{increment}  + 1  = \frac{99990 - 10035}{45}  + 1

                                                      =  2000 numbers

To solve this problem, let us find the number of digits that are divisible by 60;  

  the first number divisible by 60 within this range is 10020

   the last number divisible by  in this range is 99960

    increment is 60

\frac{99990 - 10080 }{90}

The total number in this range is:

               \frac{last number - first number}{increment}  + 1  = \frac{99960 - 10020}{60}  + 1  

                                                         =  1500 numbers

To solve this problem, let us find the number of digits that are divisible by 90;  

  the first number divisible by 90 within this range is 10080

   the last number divisible by  in this range is 99990

    increment is 90

The total number in this range is:

         \frac{last number - first number}{increment} + 1  = \frac{99990 - 10080}{90} + 1

                                                  = 1000 numbers

Now solution:

  Number of 5 digits  = number of 45  + number of 60 - number of 90

                                       = 2000 + 1500  - 1000

                                        = 2500 numbers

3 0
2 years ago
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Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to x^{2}.
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where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,
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6 0
2 years ago
Read 2 more answers
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