We have been given a diagram and we need to find the value of arc angle a.
According to one of the circle theorems the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc.
Therefore, arc angle a will be twice of the angle at circumference, that is, 34 degrees.
Therefore, value of angle a is:
Answer:
Options (A), (B) and (C)
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides are equal and parallel.
2). Opposite angles are equal.
3). Adjacent pair of angles is supplementary.
4). Diagonals bisect each other.
By property number (4),
WP ≅ YP
BY property number (1),
XY ≅ WZ
By property number (1),
XY║WZ and WY is a transversal line,
∠YWZ = ∠WYX [Alternate interior angles]
Options (A), (B) and (C) are the correct options.
Answer:
(a) 1 in 365 or 0.2740%
(b) 0.8227%
Step-by-step explanation:
(a) For any given birthday date of the first person, there is a 1 in 365 chance that the second person shares the same birthday, therefore the probability that the first two people share a birthday is:
(b) There are four possibilities that at least two people share a birthday, first and second, first and third, second and third, all three share a birthday. Therefore, the probability that at least two people share a birthday is: