Two figures are similar, and the scale factor is 2/3 if a side of larger figure is 12, then the corresponding side in the smaller figure is 6 8 12 18

The answer is 8.

Step-by-step explanation:

The scale factor between the figures is 2/3, this means that the ratio of the smaller figure to the larger figure is 2/3:

.

So when a side of the the larger figure is 12 then:

Therefore

.

Thus the length of the corresponding smaller side is 8.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.