Answer: 25%
Step-by-step explanation:
Given
Total students on a field trip are 68
Out of 68, only brings the camera
The percentage of students that bring the camera is given by

Thus, only 25% of students bring a camera.
Answer:

Step-by-step explanation:
The point at the terminal side of an acute angle is given by
.
That is,
and
.
Let r be the length of line segment drawn from the origin to the point and is given by the formula:

Substituting the values of x and y into r,



Thus,
Also,
is given by:

Substituting values of x and r,

Answer:
(2,4) is a solution to this system of equations
Step-by-step explanation:
Given system of equation are


To find the solution of the given system of equations
To Check that (2,4) is a solution to this system or not
Solving equations (1) and (2)
From equation (1) and y=2x
Now substitute y=2x is equation (2)






10-5x=0
-5x=-10

Substitute x=2 in equation (1)
y=2x
y=2(2)
Therefore y=4
Therefore the solution is (2,4)
Therefore (2,4) is a solution to the system of equations.
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.