Question

The diagonals of parallelogram ABCD intersect at point E. If DE=2X+2,BE=3X-8 ,CE=4y , and AC=32, solve for x.

A.
x = 2
B.
x = 10
C.
x = 15
D.
x = 22

Answer 1

Solve for x & y.

Answer 2

the diagonals bisect eachother. 2x+2 = 3x -8
and
4y = 1/2 (32)

Answer 3

with geometry a lot of it is just memorizing those kind of relationships to help you solve using algebra

Answer 4

4/ by 32= 1/8 ?

Answer 5

thats .5

Answer 6

y=8 and x=?

Answer 7

4y = 16 ....

Answer 8

y=4

Answer 9

?

Answer 10

yep! with the other one you need to get the x's on the same side, and solve

Answer 11

6=-2 ?

Answer 12

x=2 ?

Answer 13

2x+3x=2-8

Answer 14

start by getting variables on same side. 2x + 2 - 2x = 3x - 8 - 2x
2 = x -8

Answer 15

x+2=-1x-8

Answer 16

close, but you have to change the sign in order to get it across the equation

Answer 17

???

Answer 18

how

Answer 19

do you see how i got 2 = x - 8?

Answer 20

once you subtract 2x from both sides, it's gone on the left, and 3x-2x = x on the right

Answer 21

so subtract 2 from 3x-2=x ??

Answer 22

3x=-2x

Answer 23

Does x=2 ?

Answer 24

sorry, the 3x-2x part is the right side ONLY. on the left side we did 2x + 2 -2x = 2

Answer 25

x - 8 = 2

Answer 26

10

Answer 27

Yep! when doing the alebra, write it out line by line and you'll see what i mean. It's hard to explain on here

Answer 28

haha do you know how to use the draw button? x) it makes things simpler.

Answer 29

thanks!

Answer 30

lol i was looking for it but dont have my stylus anyway, no prob