In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

Where

Thus,

thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,

Thus, from the theorem of similar triangles,

solving for y, we have

thus, YC = 10.
Answer:2 and 7
Step-by-step explanation:
I hope it's right :)
Tossing a coin is a binomial experiment.
Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.
All of these trials are independent since the result of one trial does not affect the result of the next trial.
Now, for 'n' repeated trials the total number of successes is given by

where 'r' denotes the number of successful results.
In our case
and
,
Substituting the values we get,


Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.
Answer:
x = 3
Step-by-step explanation:
The fractions need to have common denominators. So, we would make the common denominator (x + 3)(x - 3), or, x^2 - 9
Multiply the numerator by the same number or variable as the denominator and then combine.
Once their is x and a number left you would solve for x.
Answer:
63
Step-by-step explanation:
Since a1=7 and the question is to find a9, you just have to multiply 7 and 9 which is 63