What is the minimum angle of rotation (in degrees) that will carry the star onto itself?

Minimum angle = 108°

Step-by-step explanation:

From the figure attached,

Minimum angle to overlap the star onto itself is the angle of rotation from point A to B.

Let the angle between A and B measure a°.

If we complete a star pentagon by joining the vertices of the star,

Formula to measure the internal angle of a polygon is,

Measure of internal angle =

Measure of ∠ABC =

                              = 108°

Since, one side star divides the interior angle into three equal parts,

Measure of interior angle = = 36°

From ΔAOB,

m(∠OAB) + m(∠AOB) + m(∠ABO) = 180° [Sum of interior angles of a triangle = 180°]

36° + a + 36° = 180°

a + 72° = 180°

a = 180 - 72

a = 108°

Therefore, by the minimum angle of rotation of 108° star will overlap onto itself.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

idk what the heck he answer is, i’m just putting this here so i finish my account