Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle (figure 1) plus the area of trapezoid (figure 2)
see the attached figure to better understand the problem
The area of the rectangle is

The area of the trapezoid is
](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B%2815-9%29%2B3%29%5D%288-3%29)
=22.5\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B6%2B3%29%5D%285%29%3D22.5%5C%20cm%5E%7B2%7D)
The area of the figure is

Answer:

Step-by-step explanation:
Answer: The required probability is 
Step-by-step explanation: Given that an urn contains 6 red marbles and 4 black marbles. Two marbles are randomly drawn one by one from the urn without replacement.
We are to find the probability that both drawn marbles are black.
Let E and F denote the events of two marbles one by one without replacement and let S and S' denote the corresponding sample spaces.
Then, we have

Therefore, the probability that both marbles are red is given by

Thus, the required probability is 
Answer:
Vertical angle
Step-by-step explanation: