Answer:
x = 30
Step-by-step explanation:
The two angles add to a right angle which is 90 degrees
30 +2x = 90
Subtract 30 from each side
30 +2x - 30 =90-30
2x= 60
Divide each side by 2
2x/2 = 60/2
x = 30
Answer:
y(20)=14,322
Step-by-step explanation:
We need to solve the equation:

with initial point

with incerments

By Euler's method, we have:

We start with the initial point

And we continue until we reach the value for y(20)

K=y•x
Inverse means 1/variable
y=k•1/x
y=k/x
k=y•x
x=5
y=2.4
k=2.4 • 5
k=12
Answer is:
y=12/x
Good luck.
We are given:
12 counters which are three-fourths of a set of counters, meaning the total number of counters in a set is determined by:
total number of counters in a set = 12/(3/4) = 16 counters
Therefore, we need to draw 16 counters and shade 12 of them to represent the three-fourths of the set.
Answer:

Step-by-step explanation:
a) Mapping the graphs
Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.
In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.
Each vertical line through ƒ(x) intersects g(x) in only one point.
For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)
at (4, 10).
Every point in g(x) is five units higher than the corresponding point in ƒ(x).
Thus, mapping ƒ(x) onto g(x) is a translation of five units upward.
b) Integration

![\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B11%7D%7B%285%20%2B%20%5Csqrt%7Bx%5E%7B2%7D%2B9%7D%29%7Ddx%20%5Capprox%20%5B5x%5D_2%5E%7B11%7D%2B65%5C%5C)

