What is the rotational symmetry for each shape please help with give brainlist

Answers in order from top to bottom:

Explanation:

Focus on point C of the hexagon. This point is the furthest to the right. We can rotate the hexagon 60 degrees clockwise so that point C moves to point D's original location. Then another 60 degrees clockwise has C move to point E's original location.

Note how each time we do a rotation like this, the hexagon has not changed if we ignore the point labels (imagine labels got covered up or smudged somehow)

The question is: how many times can we do this rotation before we have point C get back to its original location again? The answer is 6 times. The 6 corresponds exactly to the number of vertices we're working with since this hexagon is a regular hexagon.

Therefore, the order of symmetry for the hexagon is 6.

Similarly, the pentagon has order of symmetry 5

The rectangle has 4 vertices, but we can only do two rotations of 180 degrees each to have it line up with itself. So the order of symmetry here is 2.

The final figure has rotational symmetry of order 3 since we can rotate the figure 3 times to have it line up with itself.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v