Answer:
Both equal 121 degrees
Step-by-step explanation:
Vertical angles are equal, and and 2 are indeed vertical angles. They are the "top" and "bottom" of the x formed. So you can use this.
angle 1 = angle 2
20x + 21 = 30x - 29
50 = 10x
5 = x
So just plug this in.
20x + 21
20(5) + 21
121
30x - 29
30(5) - 29
121
So both are 121.
109.31
To find this you can convert 58% to decimal form, which is .58. Once you have a decimal form of a percent, you can multiply it by the number you are taking the percent of and get an answer. So .58 times something equals 63.4. You can write this as an equation:
.58x = 63.4
and solve for x, which would get 63.4/.58, which equals 109.31.
Could you maybe provide us with a better explantion or picture?
Answer:
B(0) = 0 depth in inches 0 minutes after filling began is 0 ; that is at time = 0 ; depth = 0
B(1) represents the function one minutes after filling began.
B(9) = 11 depicts that the depth in inches if water 9 minutes after filling began is 11.
Step-by-step explanation:
The function gives depth of water in inches 7 minutes after filling began
A.) B(0)=0
The statement B(0) = 0 means the depth in inches 0 minutes after filling began is 0 ; that is at time = 0 ; depth = 0
B.) B(1)
B(1) represents the function one minutes after filling began.
C.B(9)=11
B(9) = 11 depicts that the depth in inches if water 9 minutes after filling began is 11.
Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume 
and prove 
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
