In the figure, AC and BD bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram. Statement
AC and BD bisect each other.
AE = EC and BE = ED
mZAEB= mz CED
AABE ACDE
LACD LCAB
AB|CD
MZBEC= MZAED
ABEC ADEA
BC||AD
Quadrilateral ABCD is a parallelogram. definition of a parallelogram
Reason
given
definition of bisection
SAS criterion
Corresponding angles of congruent triangles are congruent.
converse of Alternate Interior Angles Theorem
Vertical Angles Theorem
SAS criterion for congruence
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none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

okay..i will pick 8!

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two