That would be : y = 2x + 1
They are called vertical angles because the definition of vertical is: <span>in a direction, or having an alignment, such that the top is directly above the bottom. The "angles opposite each other when two lines cross" match the definition.</span>
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then

It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e.,
, therefore
.
Hence, the correct option is A.
Let AM be the distance between point A and the right wall and AN be the distance between A and the left wall.
Δ AMB is an isosceles right triangle and Δ ANC is half of an equilateral triangle.
Length of AM = 30 m. Length of AN = 1/2 · 80 = 40 m.
The distance between the walls is:
30 m + 40 m = 70 m.
C.) A <span>dilation with a scale factor of 4, with center of dilation at the origin
Here, You can either draw the figure or compare the coordinates,
B = (4, 4) then B' = (1, 1)
C = (-4, 4) then C' = (-1, 1)
D = (-4, -4) then D' = (-1, -1)
E = (4, -4) then E' = (1, -1)
So, Every coordinate is reducing by 4th factor... Hence, dilation factor is 4 about the origin
Hope this helps!</span>