Answer:
x=9
Step-by-step explanation:
These two angles are equal since they are alternate exterior angles
-1 +14x = 12x+17
Subtract 12x from each side
-1 +14x-12x = 12x-12x+17
-1+2x= 17
Add 1 to each side
-1+1+2x = 17+1
2x = 18
2x/2 = 18/2
x =9
Since these events are independent, you add the possibilities
the number of cards less than 9 is 32
the number of spades is 13
there are 52 cards in a deck, so you put those numbers over 52
32/52 + 13/52 = 45/52
the answer is 45/52
Answer:
34
Step-by-step explanation:
x - 9 = 25
x=25+9
x=34
the frequency of the sinusoidal graph is 2 in 2 π interval
Step-by-step explanation:
The frequency of the graphs refers to the number of the cycles, the graph completes in a given fixed interval.
We already know the formula that
P= (1/ F)
Thus, F= (1/ P)
Where F= frequency and P= Period
Period is the horizontal length (x- axis component) of one complete cycle.
Thus, Observing the above graph
We find that the graph completes 1 cycle in π interval and 2 cycles in 2π interval
Thus, the frequency of the sinusoidal graph is 2 in 2 π interval
Answer:
The simplify form of the provided expression is: 
Step-by-step explanation:
Consider the provided expression.
Now simplify the above expression as shown below:
as 16/8 = 2
Now again simplify the above expression.
as 2/6 = 1/3
Now, multiply the whole expression with 3.
Hence, the simplify form of the provided expression is:
