Answer:
y = 4
Step-by-step explanation:
6y + 30 = 54
subtract 30 from each side
6y = 24
divide each side by 6
y = 4
Answer:
The function y = -x whose reflection in the line y =x is itself.
Step-by-step explanation:
A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.
The reflection of the point (x,y) in the line y = x is the point (y, x).
Therefore, the function y = -x whose reflection in the line y =x is itself.
Symmetries of the function f(x)= -x is:
A function symmetric with respect to the y-axis is called an even function.
If f(-x) = f(x)
A function that is symmetric with respect to the origin is called an odd function.
if f(-x) = -f(x)
then, we must look at f(-x);
f(x) = -x
f(-x)= -(-x)= x = -f(x)
this function is symmetrical to with respect to origin.
Therefore, this function is an odd function.
Answer:
Step-by-step explanation:
If you have a square of side 
, its diagonal would be 
, and its area 
If the big square has a area of 900, this implies that its side is 
, so the two diagonal of squares 2 and 4 added together would be , therefore one diagonal wold be 
. and its side 
. The area (of one square) is 
finally the two areas combined (squares 2 and 4) would be 225
Answer:
Step-by-step explanation:
The measure of an inscribed angle is exactly half the measure of the arc it forms. Thus, we have the following equation:
Solving, we get:
Plugging in 
into 
:
x and the 120 degrees are Complementary angles so they are the same. x=120˚
