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3 years ago

I WILL GIVE BRAINLEST. Use the irregular polygon below. show all work.

Mathematics

1 answer:

Sergio039 [100]3 years ago

7 0

Show me the polygon please

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) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

3 years ago

Fiona is drawing polygons on a computer. She wants to map a regular 9-sided polygon back onto itself using a reflection. Which s

7nadin3 [17]

any perpendicular bisector of one of the sides".

We can define a line of reflection as the line in which a shape is reflected, or we can say that it is the mirror in which the shape is reflected. The line of reflection is the perpendicular bisector of any pair of corresponding points. If you want to join sets of corresponding points on the object and image, then

Step-by-step explanation:

3 0

3 years ago

the distance in feet that Karina swims in a race is represent by 8d - 8, where d is the distance for each lap.What is an express

sergij07 [2.7K]

Answer: The equivalent expression for is

Step-by-step explanation:

The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.

To get equivalent expression we factor the expression 4d-4

Greatest common factor is 4

Factor out 4 from the expression 4d-4

when we factor out 4, we divide each term by 4

The equivalent expression for is

Step-by-step explanation:

4 0

3 years ago

Anyone pls help on this

Tatiana [17]

(Exponential decay) hope it helps:)

4 0

3 years ago

Select the correct answer. A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of gett

snow_tiger [21]

Answer:

18.

Step-by-step explanation:

Very Simple.

4 0

3 years ago