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*50 POINTS*

Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.

The figure is rotated counterclockwise. Which rotation could have taken place?

a 45° rotation

a 90° rotation

a 135° rotation

a 225° rotation

Well, Your best answer will be is 225° rotation. Because, The points A' and C' are tilted more than 180 degrees from the origin of rotation. If it were 90 degrees, the A' and C' would have been in the right side. So, The best answer will be is 225°.

Hope That Helps!

7

step-by-step explanation:

the answer would be 7

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