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sveta [45]
3 years ago
5

Triangle A"B"C" is the image of triangle ABC after a sequence of transformations. Which sequence of tranformations could have be

en applied?

Mathematics
2 answers:
frosja888 [35]3 years ago
6 0

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is clear that the vertices of figure ABC are A(-2,2), B(0,5) and C(2,2).

The vertices of figure A''B''C'' are A''(0,-2), B''(-2,-5) and C''(-4,-2).

If a figure translated two units right then

(x,y)\rightarrow (x+2,y)

A(-2,2)\rightarrow A'(0,2)

B(0,5)\rightarrow B'(2,5)

C(2,2)\rightarrow C'(4,2)

After that the figure rotated 180° clockwise about the origin.

(x,y)\rightarrow (-x,-y)

A'(0,2)\rightarrow A''(0,-2)

B'(2,5)\rightarrow B''(-2,-5)

C'(4,2)\rightarrow C''(-4,-2)

Therefore ΔABC translated 2 units right, then rotated 180° clockwise about the origin.

Hence the correct option is C.

iVinArrow [24]3 years ago
5 0
The answer is A
ABC is translated 1 unite to the right then rotated 180 Clockwise about the original
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Let the number sold of veggie pizza be a
The number sold of cheese pizza be b
a+b=25…1
A+7=b…2

Sub 2 into 1
a + a+7 = 25
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Sub a=9 into 2
9+7=b
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3 years ago
What is the height of the cone below?<br> - 3<br> - 9<br> - 27<br> - 75
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5 0
3 years ago
Read 2 more answers
Use the diagram to answer the question
Ivan

Answer:

148

Step-by-step explanation:

a line (cd) is 180°

cba + and must be 180°

180-33=148

8 0
3 years ago
Bob rides his bike from his house to a friend's house. After riding 9 miles, he realizes he has traveled 3/4 of the way. How far
o-na [289]

Answer:

12 miles

Step-by-step explanation:

sorry if im wrong

8 0
3 years ago
1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot y
iren [92.7K]

Answer:

1a)  Length = 7x + 3  & Width = 4x - 2

1b)  Area = 28x^2 -2x -6

1c)  Area = 2774 sq. m

2.  (x-4)(y+7)

Step-by-step explanation:

1a)

The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be  7x + 3

The expression for width would be 4x - 2

1b)

The area is length * width

Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:

Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6

Area = 28x^2 -2x -6

1c)

Given x = 10, we put this into the area expression we found in (b) above.Let's see:

28x^2 -2x -6\\=28(10)^2 -2(10) -6\\=2774

Area = 2774 sq. m

2.

We can group the first two terms and next two terms and write up:

xy-4y+7x-28\\(xy-4y)+(7x-28)\\y(x-4)+7(x-4)\\(x-4)(y+7)

That's the factored form.

8 0
3 years ago
Read 2 more answers
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