Question

Figure ABCD is a rectangle. The length of segment AE is (4x – 3) units and the length of segment EC is (x + 3) units.


What is the length of diagonal BD?

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0500_Subtest_01_02/image0014e305ae1.jpg

Answer 2

The diagonals of a rectangle are always congruent. So, AE=EC and they gave the length of each one: AE= 2x+1 and EC=x+7 Now just substitute and solve: AE=EC 2x+1=x+7 2x-x=7-1 x=6 If half of the diagonal is 6 what should the other half be? 6 6+6=12 => BD=12

Answer 3

@r3dispimp are you there? Do you understand now?

Answer 4

yes a little bit

Answer 5

Okay, good luck!

Answer 6

but 12 isnt an answer choice

Answer 7

Oh, I might have calculated this wrong, ehh I don't want to confuse you any further, sorry... lol

Answer 8

haha its okay thanks for trying to help me out

Answer 9

Oh! Sorry, the length of one of them is 13 so: 13+13=26 6 is for x, they don't want x.

Answer 10

26 is the answer right?

Answer 11

I think that is correct...

Answer 12

no lol

Answer 13

WHAT

Answer 14

its 10

Answer 15

Hmmm....

Answer 16

because if you put in a 2 for x you get 10

Answer 17

thats when you add both sides

Answer 18

OH!! That's right lmao Okay Sooo sorry!!! X3

Answer 19

its okay thanks for trying:)

Answer 20

Np:)