Answer:
x = 5
Explanation:
Well, there's a theorem about these triangles that helps you solve questions similar to this one.
The theorem states that the sum of the two angles of a triangle is equal to the magnitude of the angle exterior to them.
That is, 33° + (10x+1)° = (17x-1)°
17x - 10x = 33 + 1 + 1
7x = 35 => x = 5
Hope it helps you, mate! :)
Answer:
36
Step-by-step explanation:
it is given that there are total of 80 students
in German language there are 25 students
in French language there are 15 students
13 studying Spanish language
in German and French language there are 3 students
in French and Spanish language there are 4 students
in German and Spanish language there are 2 students
3 are studying all three languages
from the given bellow ven diagram
it is clear that the number of students that are not studying any languages are =80- (20+3+8+4+2+7)=36
There are many different types of equations we can use to allow x to equal 19! Below are some examples :) See if you can come up with some on your own based off of these examples:
5x = 95.....................................Divide both sides b 5
x = 19.......................................There's one for you :)
_____________________________________________________________
1 + x - 5 = 15............................Combine like terms
x - 4 = 15..................................Add 4 to both sides
x = 19
_____________________________________________________________
There's just a couple of examples, but see if you can come up with some on your own and let me know if you get stuck!
Thank you for your question! I hope this helped! Have an amazing day and feel free to let me know if I can help you any further! :D
Answer:
Option A is correct.
Solution for the given equation is, 
Step-by-step explanation:
Given that : 
Let 
then our equation become;
.....[1]
A quadratic equation is of the form:
.....[2] where a, b and c are coefficient and the solution is given by;
Comparing equation [1] and [2] we get;
a = 2 b = -1 and c =-1
then;
Simplify:
or
or
and 
Simplify:
y = 1 and 
Substitute y = cos x we have;
⇒
and
⇒ 
The solution set: 
Therefore, the solution for the given equation is, 
Answer:
A nice way to show it is through the unit circle.
In the unit circle, the point at angle theta from the origin has a y value of sin theta.
If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).
