The interior angle of the regular hexagon below measures 120, and the hexagon has rotational symmetry. which of the following is the measure of an interior angle after a 90 degree rotation around the point of symmetry?
a. 45 b. 90 c. 120 d. 60

120 degrees

Step-by-step explanation:

Given that the interior angle of the regular hexagon below measures 120, and the hexagon has rotational symmetry.

The hexagon is rotated 90 degrees around the point of symmetry.

The point of symmetry for the hexagon is centre of the hexagon.  

When the hexagon is rotated 90 degrees, transformation of rotation about a point takes place

By property of rotation  about a particular point for a certain angle transforms the original image into an congruent image preserving shape, size and other properties

Hence image will have the same angle as original

So answer is 120 degrees

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry