156 and (14y+30) are opposite angles so they are the same. You can use this information to put them into an equation to solve;
14y+30 = 156
You want you the the y's alone, so you subtract 30 from each side.
14y = 126
Then divide each side by 14 to get what just 1 y is.
y = 9
Then to find what the other pair of opposite angle add up to subtract 156x2 from 360
156x2 = 312 360-312 = 48
Halve 48 to get the sum of just one of the opposite angles
48/2 = 24
Now you know that 3x = 24. Solve this equation
x = 8
Answer:
x=6° , z=102°
Step-by-step explanation:
78=14x+22
56=14x
x=6
180-78=z
z=102
Answer:
$0.1 /lb.
Step-by-step explanation:
First, divide 1.99 by 19. You get 0.1047368421. To round it to the nearest hundred, look to the number 3 points away from the decimal, which is number 4. Since it is not 5 or greater, we round it down, and it would round down to 0.1.
Consider 
, where ![x \in [-1,1]](https://tex.z-dn.net/?f=x%20%5Cin%20%5B-1%2C1%5D)
.
This means there exists a ![\theta \in [0, \pi]](https://tex.z-dn.net/?f=%5Ctheta%20%5Cin%20%5B0%2C%20%5Cpi%5D)
such that 
and 
.
Thus, taking the inverse cosine of both of these equations, we get that:
.
Subtracting arccos(x) from both sides, we get the required result.
