What is the measure of Zx?Angles are not necessarily drawn to scale. х41°- Zo2=0

Notice that angle of measure x degrees PLUS the angle of measure 41 degrees add up to give a RIGHT angle (90 degrees) as marked with the identifiable little square by the vertex.

Then we can write the equation:

x + 41 = 90

and solve for x by subtracting 41 from both sides

x = 90 - 41 = 49 degrees.

In the case of the second problem, we are seeing two "supplementary angles" whose addition should give 180 degrees (a straight line)

So we write the equation:

x + 133 = 180

and solve for x by subtracting 133 from both sides:

x = 180 - 133 = 47 degrees.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.