Question

BM = 2x + 3, DM = 3x - 2, AM = 3y - 2, and CM = 2y+4. If ABCD is a parallelogram, what is the value of x?

Answer 1

a) x=1, y = 2
b) x =5, y =6
c) x =1, y= 6
d) x = 5, y = 2

Answer 2

I think it's b.

Answer 3

I think we need to do a little bit of Algebra.

The diagonals of a parallelogram bisect each other.

So, BM = DM

Solve for x:

2x + 3 = 3x - 2 ---> @OmiLala

Answer 4

So d?

Answer 5

Please solve this for x:

2x + 3 = 3x - 2 ---> @OmiLala

Subtract 2x from each side of the equation. What do you get?

Answer 6

1

Answer 7

x = 1...

Answer 8

and y = 2

Answer 9

2x + 3 = 3x - 2
-2x -2x
===============
3 = x - 2

Add 2 to both sides of that equation to solve for x.

Answer 10

x = 1... NOT correct

We have not yet solved for y.

Answer 11

3 = x - 2
+2 +2
=========


What does x equal?

Answer 12

5 o.o

Answer 13

Yes, x = 5.
Now, to get y.

AM = MC
3y - 2 = 2y + 4
Subtract 2y from both sides

y = 4 + 2
y = ?

Answer 14

6

Answer 15

Yes, so x= 5 and y = 6.