Answer:
56°
Step-by-step explanation:
Because the two lines are parallel, the corresponding angles are equal. The two corresponding ∠s are ∠A and ∠B. ∠A=∠B
∠A=4x
∠B=2(x+14)
4x = 2 (x+14)
the right side requires the distributive property
a) 4x = 2x+28
2x = 28
x = 14
b) now plug in x for both ∠s to find ∠A and ∠B
∠A = 4x = 4(14) = 56°
∠B = 2(x+14) = 2(14+14) = 2(28) = 56°
I just did both angles to show that they are equal and it is a way to check your work
We can observe that the function describing the graph is linear and so the equation is of linear nature:

Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:

Now our line has an equation,

Hope this helps.
Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value
Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
Answer:
There will be 49 fl oz of Orange Juice and 77 fl oz in total.
Step-by-step explanation:
The ratio for Orange Juice to Sparkling Water is 7:4, so for every multiple of 4 your using of water, your using that number times 7 for Orange Juice. We are given the amount of water being used, which is 28 fl oz, so we divide that by 4 to get 7, then we multiply that by 7 for the Orange Juice and get a total of 49 fl oz of Orange Juice. The last step is to add the two totals together to get the grand total, and since we have 49 fl oz of Orange Juice and 28 fl oz or Water, we add those 2 numbers together to get 77 fl oz of Punch.
Answer:
x=3
i=74
That is my answer. I think, not 100% sure though.