Answer:
x = 65
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral sum to 180° , then
x + 115 = 180 ( subtract 115 from both sides )
x = 65
Subsitution
solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y
there are an infinite number of solutions
Given:
The function is:

To find:
The steps of finding the inverse function
.
Solution:
We have,

The steps of finding the inverse function are:
Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Taking square on both sides, we get

Step 4: Adding 21 on both sides, we get

Step 5: Divide both sides by 7.

Step 6: Substitute
.
, where
.
Therefore, the inverse of the given function is
and the arrangement of steps is shown above.
Answer:

Step-by-step explanation:
Given:
Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).
So, the 'x' value is 3 and 'y' value id -4.
Using Pythagoras Theorem, we find the hypotenuse.
Hypotenuse = 
Now, using the sine ratio for the angle, we have

Therefore, the value of
is
.
The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,