Point x is the center of regular pentagon rstuv. what is the measure of the angle of rotation that will map s onto u?

The angles at a point add up to 360°.

Draw the Pentagon and join each vertex to point X (the center of the Pentagon).

This gives us 5 isosceles triangles. Since the polygon is regular, the angles at the center (∅) are equal.

Ф=360÷5=72°

We can now get the angle of rotation by either moving clockwise or anticlockwise.

This means we are going to have 2 answers.

   1. The angle of rotation in clockwise direction = 72°×2=144°

    2. The angle rotation in anticlockwise direction = 72°×3=216°

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3