a bookshelf holds 43 books on each shelf is the total number of books proportional to the number of shelves in the bookshelf
2 answers:
Answer:
Yes, the total number of books is proportional to the number of shelves in the bookshelf.
Step-by-step explanation:
Let y represent total number of books and x represent number of shelves.
We have been given that a bookshelf holds 43 books on each shelf. We are asked to determine whether the total number of books proportional to the number of shelves in the bookshelf.
The total number of books on x shelves would be . We can represent this information in an equation as:
Therefore, the total number of books is proportional to number of shelves in the bookshelf and constant of proportionality is 43.
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Answer:
The proof is given below.
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
