Respuesta :
Answer:hi nice to meet you the answer is 120
Step-by-step explanation:i just took the quiz right now and dont really feel like posting my work right now but for sure 120
Answer:
120
Step-by-step explanation:
Given that ABCD is a parallelogram.
We know that in a parallelogram diagonals bisect each other.
Since AC and BD intersect at E, we get E is the mid point of both AC and BD.
Or BE = ED
Substitute the given values for BE and ED
[tex]x^2-40 = 6x\\x^2-6x-40=0\\(x-10((x+4) = =0[/tex]
i.e. x =10 or x =-4
But x cannot be negative . So x can take only value 10
BE = DE =6x = 6(10) = 60
Diagonal BD = BE+DE = 60+60 = 120
Answer is 120
