Answer:
<em>The required values are b=-6 and d=4</em>
Step-by-step explanation:
The graph corresponds to the function
We are required to find the values of b and d.
They can be found by using two points that are clearly visible on the graph. For example, the points (0,4) and (2,0) belong to the function. Substituting their values in the function:
Simplifying:
4 = d
d = 4
Now use the point (2,0):
Since d=4, and calculating
Simplifying:
Dividing by 4:
The required values are b=-6 and d=4
In a parallelogram, the opposite angles will be congruent to each other.
In this parallelogram, angles B and C are congruent, and angles A and D are congruent.
We will work on angles B and C first. Set the two angles to equal each other:
Subtract 6 from both sides:
Subtract 6x from both sides:
Divide both sides by 6 to get x by itself:
x will equal 10.
Set angles A and D to equal each other:
Divide both sides by 3 to get y by itself:
y will equal 18.
The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.
