supplementary angles add up to 180 degrees
x + y = 180
x - y = 92
---------------add
2x = 272
x = 272/2
x = 136 <=== this is one angle
x + y = 180
136 + y = 180
y = 180 - 136
y = 44 <=== this is ur other angle
Answer:
a) 
b) $12,000
Step-by-step explanation:
We are given the following information in the question:
The cost C of moving rubble is proportional to the product of the mass M of the rubble and the distance D the rubble must be moved.
This can be written as:
a)
b) It costs 50 dollars to move 1 ton of rubble 1 mile
We have to find cost to move 16 tons 15 miles.
Putting the values in the function:
Thus, $12,00 is the cost to move 16 tons 15 miles.
Answer:
z = 1.960
Step-by-step explanation:
The sample proportion is:
p = 715 / 2684 = 0.2664
The standard error is:
σ = √(pq/n)
σ = √(0.266 × 0.734 / 2684)
σ = 0.0085
For α = 0.05, the confidence level is 95%. The z-statistic at 95% confidence is 1.960.
The margin of error is 1.960 × 0.0085 = 0.0167.
The confidence interval is 0.2664 ± 0.0167 = (0.2497, 0.2831).
The upper limit is 28.3%, so the journal can conclude with 95% confidence that the true percentage is less than 29%.
Answer:
Step-by-step explanation:
(-4,0) (0,3)
(3-0)/(0+4)= 3/4
y - 0 = 3/4(x + 4)
y = 3/4x + 3
