The following statements are true for a parallelogram that must be a rectangle.
parallelogram with a right angle
parallelogram with congruent diagonals
A Parallelogram is a flat shape with opposite sides parallel and equal in length. Squares, rectangles and rhombuses are all parallelograms but with slight differences.
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

Answer
- g(x) = x+4
- Therefore the value of k is 4.
the answer for x is 76.4. the way to find it is by dividing 458.4 by 6 to find x s value.