Question

For numbers 5-8, it is given that ABCD is a parallelogram. 5-6. Find x and y if AE=x,EC=4y,BE=x-2y, and ED=9. 7-8. Find x and y if AE=2x+y,AC=30,BE=x+y, and BD=25.

Answer 1

To find x and y in the given parallelogram, set up a system of equations using the given information and solve for x and y.

Step-by-step explanation:

To find x and y in the given parallelogram, we can use the properties of parallelograms and set up a system of equations using the given information.

For the first set of equations, AE = x, EC = 4y, BE = x - 2y, and ED = 9. Since opposite sides of a parallelogram are equal, we can set up the following equations:

x = 9 + EC

4y = x - 2y

For the second set of equations, AE = 2x + y, AC = 30, BE = x + y, and BD = 25. Again, using the properties of parallelograms, we can set up the following equations:

2x + y = AC

x + y = BD

Solving these systems of equations will give us the values of x and y.