Answer:
x = 2π3
Step-by-step explanation:
csc(x)csc(x) , x=πx=π
3x+2y+zx+y+z3x+2y+zx+y+z , x=2x=2 , y=3y=3 , z=1z=1
cot(3x)cot(3x) , x=2π3
Hope this helps :)
Answer:
6+11i
Step-by-step explanation:
2+3i + 4+8i
Add the real parts
2+4 = 6
And the imaginary parts
3i+8i = 11i
The complex number is the real plus the imaginary
6+11i
To find the slope of the line, use the rise over run formula:

Take any two points from the line and plug them into the formula.
(0,0) and (10, 5)

The slope of the line is 0.5.
Using the form y = mx, the following equation will be your answer:
When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.
Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.
The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.
Answer:
Side length AC in triangle ABC is 35 units.
Hope this helps!