y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
Answer:C
Step-by-step explanation:
I had the same question
we know that

we have

substitute the value of
in the expression above

therefore
<u>the answer is</u>

For this case we will complete the table part by part.
We have then:
First row:
Snake = Rabbit = 4
Rabbit = Not Snake = 18
Total = 4 + 18 = 22
Second row:
Not rabbit = Snake = 11
Not rabbit = Not Snake = 26
Total = 11 + 26 = 37
Third row:
Total = 4 + 11 = 15
Total = 18 + 26 = 44
Total = 59
Answer:
2s or 3s
Step-by-step explanation:
Given the function that models the height of the object as;
h(t) = - 16t^2 + 80t + 96
The ball reaches the ground when h = 0
Substitute
0 = - 16t^2 + 80t + 96
Divide through by -16
0 = t²-5t-6
t²-5t-6 = 0
t²-2t-3t+6 = 0
t(t-2)-3(t-2) = 0
(tt-2)(t-3) = 0
t - 2 = 0 and t-3 = 0
t = 2 and 3s
Hence it will take the ball 2s or 3s to reach the ground