Part A:
We see that this pair of equations has 1 solution. On a graph, the solutions of 2 (or more) lines is where the lines intersect. In this case, since these lines intersect 1 time, they have 1 solution.
Part B:
As previously mentioned, the solutions of multiple lines is where the lines intersect. In this case, since they intersect at (4,4), that is the solution.
They both are complementary angles i.e their sum must equals 90°
4x+ 31 + 6x + 39 = 90
10x + 70 = 90
10x = 90-70
10x = 20
x = 2
we have to find angle ADC
just put the value of x in that expression for that angle.
angle ADC = 6x + 39 = 6 (2)+39 = 12 + 39 = 51°
The answer is 14.60. Hope this helps!
2-gallon
bucket for 66.72
Answer:
The relationship between flying time in seconds in the number of times the insect beats its wings:
Step-by-step explanation:
The slope-intercept form of the line equation

where
- m is the rate of change or slope
In our case,
Let 'x' be the flying time in seconds
Ley 'y' be the number of times the insect beats its wings
Given that a certain insect can beat its wings 120 times per second.
It indicates that the rate of change or slope = m = 120
In our case the y-intercept b = 0, as there is no initial condition mentioned here.
Now, substituting m = 120 and b = 0 in the slope-intercept form
y = mx+b
y = 120x+0
y = 120x
Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings: