Answer:
See the proof below.
Step-by-step explanation:
For this case we need to proof the following indentity:
So we need to begin with the definition of tangent, we know that 
and we can do this:
(1)
We also have the following identities:
Now we can apply those identities into equation (1) like this:
(2)
We can divide numerator and denominator from expression (2) by 
we got this:
And simplifying we got:
And that complete the proof.
Answer:
10
Step-by-step explanation:
10
Answer: -5
Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.
In this sequence, we are adding -5 each time
so our common difference is -5.
Hello from MrBillDoesMath!
Answer:
15
Discussion:
Given: measure angle STQ = 7x + 55. But, as shown, STQ is a right angle so
7x + 55 = 90 => subtract 55 from each side
7x = 90 -55 = 35 => divide each side by 7
x = 35/7 = 5
Since RS = (x+1) + (2x-1) where x = 5.
RS = (5 + 1) + (2*5 -1)
= 6 + 9
= 15
I don't know what choice the answer is as your diagram only shows Choice A
Thank you,
MrB
Answer:
There would be 12 total picks.
Step-by-step explanation:
In order to find this, create a proportional equality in which the top of the equation is the number of orange picks and the bottom is the number of green picks.
2/1 = x/4
Now we cross multiply to find out the total number of picks.
1*x = 4*2
x = 8
Now that we have the number of orange picks, we add to the number of green picks for the total number.
4 + 8 = 12
