.Figure ABCD is a rectangle. The length of segment AE is (5x - 7) units and the length of segment EC is (2x - 1) units.
What is the length of diagonal BD
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OpenStudy (anonymous):
no answeres i just want to know how to do it
8 units
6 units
12 units
10 units
OpenStudy (anonymous):
since this is a rectangle, we know the diagnols bisect each other. i.e.,
5x-7 = 2x -1
solve for x here and to get the length of the diagnol, plug x into 2(2x-1). and that will be your answer.
OpenStudy (anonymous):
kk thanks i will work it out but i might post it so that i can know if i am right or not
OpenStudy (anonymous):
k.. did you get x= ?
OpenStudy (anonymous):
not yet hold on
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OpenStudy (anonymous):
yep..
OpenStudy (anonymous):
i got 10 units for the answer
OpenStudy (anonymous):
hmmm. what did u get for x?
OpenStudy (anonymous):
3
OpenStudy (anonymous):
i got x=2...
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OpenStudy (anonymous):
5x-7 = 2x -1
subtract 2x from both sides
5x - 2x - 7 = 2x - 2x - 1
3x - 7 = -1
add 7 to both sides
3x - 7 + 7 = -1 + 7
3x = 6
x = 2
OpenStudy (anonymous):
o okay i see what i did wrong thatnks alot
OpenStudy (anonymous):
yw.. :)
thanks for working the problem with me...:)
OpenStudy (anonymous):
np:D
OpenStudy (anonymous):
:)
just to be clear, length of the diagnol is 6 right?
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