Answer:
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Answer:
D = 108°
F = 180°
H = 252°
I = 288°
Explanation:
Every regular polygon with <em>n </em>sides can be divided into <em>n</em> congruent triangles. The angle with vertex the center of the polygon will measure 360 : <em>n </em>degrees. This will also be the angle of rotation under which the polygon matches itself.
We are given a regular decagon, therefore:
<em>n </em>= 10
α = 360 : <em>n </em>= 36°
We consider that, if the decagon is not rotated, A' coincides with A and the rotation is towards the next letter of the alphabet. This means that after one rotation of 36° A' will coincide with B, after two rotations A' will coincide with C and so on.
A' will coincide with D after three rotations: 3 × 36° = 108°
A' will coincide with F after five rotations: 5 × 36° = 180°
A' will coincide with H after seven rotations: 7 × 36° = 252°
A' will coincide with I after eight rotations: 8 × 36° = 288°
Answer:
The Probability that Event A and Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.
We can find the values of 
and 
using the above form formula.
;
From the given table, we have the values of P(A), P(D), 
and 
.
Since, Probability=
∴
, 
, 
and 
Now, putting these values in above formula we get,
.
As, you can see above that the values of P(A|D) and P(D|A) are not equal.
Graph y = x (black)
(0; 0); (2; 2)
Symmetry <span>about the x-<span>axis (green)
Translation down 1 unit (red)
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