S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25
60 people have ridden the wheel in 30 minutes
The time is given as:
The number of seats on the wheel is given as:
The number of people on a seat is given as:
Every minute a seat exits the platform.
This means that, 2 people exit the platform every minute
So, the number (n) of people that exit the platform after 30 minutes would be:
This gives
Multiply
Hence, 60 people have ridden the wheel
Read more about proportions at:
brainly.com/question/25567167
Answser: first option <span>350(0.95)^x + 30x - 350
Explanation:
You can figure out the </span><span>function that shows the difference in price between option 1 and option 2 if you make a table simulating the behavior for a few months:
month price as per option 1 price as per option 2
start 350 350
1 350 - 5% (350) = 350 - 30
= 350 (0,95)
2 350 (0,95)×(0,95) =
350 (0,95)² 350 - 30(2)
3 350 (0,95)³ 350 - 30(3)
So now you can figure out the price with each option after x months:
350 (0.95)ˣ 350 - 30x
And the difference is 350 (0.95)ˣ - [350 - 30x]
Which, expanding the square brackets, is 350 (0.95)ˣ + 30x - 350 ↔ the first option.
</span>
It would be 40% is an apple at first, the peach would be 66%.
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
