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weqwewe [10]
3 years ago
15

What are the new vertices of parallelogram DEFG if the parallelogram is reflected across the vertical line x = -2, also graphed?

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Since x = - 2 is the line of reflection then the coordinates of the image will be the same distance in the x- direction from x = 2 but on the opposite side.

The y- coordinates of the points remain unchanged.

D is 3 units left of x = - 2 thus D' is 3 units to the right of x = - 2

E is 1 unit left of x = - 2 thus E' is 1 unit to the right of x = - 2

F is 1 unit left of x = - 2 thus F' is 1 unit to the right of x = - 2

G is 3 units left of x = - 2 thus G' is 3 units to the right of x = - 1

Thus

D(- 5, 5 ) → D'(1, 5 )

E(- 3, 3 ) → E'(- 1, 3 )

F(- 3, - 4 ) → F'(- 1, - 4 )

G(- 5, - 2 ) → G'(1, - 2 )

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Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

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Now, girls are 6 + g and boys are b - 9

So, the ratio is

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From ( 1 ) and ( 2 )

4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.  

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