B B
А
2
C'
1-
E
E
-1
0
1
2.
DID
-2
-3
Polygon ABCDE is reflected to produce polygon A'BCDE. What is the equation for the line of reflection?
OA. y=0
OB.
x=0
o
Ос,
x=2
OD. y=1
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Option (B).

Step-by-step explanation:

From the figure attached,

Polygon ABCDE has been transformed to form an image A'B'C'D'E'

Coordinates of a point A are (-2, 2)

Coordinates of the image point A' are (2, 2).

Rule for the transformation of point A will be,

(-2, 2) → (2, 2)

(-x, y) → (x, y)

This is the rule for reflection of a point about y axis.

Therefore, line of reflection for the pre-image ABCDE will be x = 0.

Option B will be the answer.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3