Find the value of each variable in the parallelogram. Please show work, if possible!

Given:

The diagonals of the parallelogram bisect each other.

Thus, the lengths of the diagonals of the parallelogram are (k + 4), 11, m and 8.

We need to determine the value of the variables k and m.

Value of k:

Since, we know that, the diagonals bisect each other which means that the diagonals cut each other into two equal halves.

Thus, we have;

Thus, the value of k is 7.

Value of m:

Applying the same property that diagonals bisect each other. We have;

Thus, the value of m is 8.

Hence, the value of the variables k and m are 7 and 8 respectively.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

30

step-by-step explanation:

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