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madreJ [45]
3 years ago
8

A triangle is shown on the graph:

Mathematics
1 answer:
Nana76 [90]3 years ago
6 0

9514 1404 393

Answer:

  the image is congruent with the original, angles and lengths are unchanged

Step-by-step explanation:

Translation, rotation, and reflection are known as "rigid transformations". Effectively, you can cut the figure from some rigid material, and move it according to any of these transformations without causing it to deform in any way.

All lengths and angles retain their measures when the figure is rotated about any point, through any angle. The rotated figure is congruent with the original.

__

Here, the triangle is defined in the second quadrant. Rotating it 90° clockwise will move it to the first quadrant. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x)

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F(x)=2x+1; g(x)=3x-2 <br><br> find (f+g) (3)
baherus [9]

Step-by-step explanation:

GIVEN,

f(x)=2x+1; g(x)=3x-2

NOW,

( 2x+1 + 3x-2)×3

=(5x-2)×3

=15x - 6 <em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>

3 0
3 years ago
If an interior angle of a regular polygon measures 108°, how many sides does the polygon have?
PilotLPTM [1.2K]

Answer:

5

Step-by-step explanation:

<u>(n-2)180 = 108</u>

          n

Distribute

180n-360=108n

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5 0
3 years ago
Read 2 more answers
A decorative floor pattern has 1 red square tile surrounded by 12 blue tiles. Write an expression to show how many total red and
Nonamiya [84]

The general equation is that for every red tile, there must be 12 blue ones.

Algebraically this is expressed as b = 12r where r is red and b is blue. Your teacher might like you to express it as y = 12x where y is blue and x is red. The meaning is the same.

For beginners it might be easier to say b = 12r. So if you have 15 reds then r = 15

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b = 12 * 15

b = 180 blue tiles.

8 0
3 years ago
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Which of the following is the solution set to the inequality −25x+14&gt;20? Select one: A. x &lt; -64 B. x &gt; -64 C. x &lt; -1
Sindrei [870]

Answer:

x< -0.24

Step-by-step explanation:

So this is going to sound stupid, but I got x< -0.24 which is just not an option, but this is how I got it...

-25x+14>20

subtract 14 from each side

-25x>6

divide each side by -25

x< -0.24

I switch the way the sign was facing bc I divided by a negative.

Now I know that this must be wrong, but it makes the most sense because I am pretty sure I did all of the math right. Sorry this probably didnt help , but I did a lot of work to try and get the right answer, so Im not putting that work to waste

8 0
3 years ago
June has a total of 35 marbles. She has 4 times as many blue marbles as green marbles. She writes the following system of equati
Ganezh [65]

Answer:

June has 7 green and 28 blue marbles

Step-by-step explanation:

b + g = 35

b = 4g

Use substitution method to solve them simultaneously

4g + g = 35

5g = 35

g = 7

b = 4g = 4(7) = 28

b = 28, g = 7

She has 7 green and 28 blue marbles

8 0
3 years ago
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