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MrMuchimi
3 years ago
8

Triangle CAT is transformed to produce triangle DOG.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

  • A reflection, then a translation.
  • A rotation, then a reflection.

--------------------------

  • Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
  • In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
  • A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
  • A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
  • In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

  • A reflection, then a translation.
  • A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

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vlada-n [284]
30. Answer if u place the equation into a fraction: example 20/8 yellow over red. Next let’s put the other amount into a fraction, we don’t know yellow so for the fraction we will put x: x/18. For our next step we will then cross multiply 20 by 18 and 8 by x getting 8x=360 from there you divide for x getting 45 yellow.
7 0
3 years ago
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8 0
3 years ago
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
3 years ago
Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloo
blsea [12.9K]

Answer:

He can purchase 300 white baloons.

Step-by-step explanation:

150$ is 15000 cents

15000 = 60b + 30w

b being number of blue baloons,w number of white baloons and 60 and 30 prices in cents

15000 = 60*100 + 30w

15000 - 60*100 = 30w

15000- 6000 = 30w

30w = 9000

w =300

number of white baloons is 300

3 0
3 years ago
Read 2 more answers
Which point is a solution to the inequality shown in this graph?
sergey [27]

Good morning

Answer:

B: (1, 5)

Step-by-step explanation:

This graph shows the solutions to the inequality: y > (1/3)x - 2

Since, 5 > (1/3)×1 - 2 then the point (1 ,5) is a solution to the inequality.

____________________________

:)

6 0
3 years ago
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