Based on the information marked in the diagram, ABC and DEF must be congruent.
2 answers:
Answer:
Option A is correct
True, ΔABC and ΔDEF must be congruent.
Explanation:
LA theorem or Postulates states that given two right triangles, where one acute angle and a leg of one of the triangles are congruent to an angle and a leg of the other triangle, then the two triangles are congruent.
In ΔABC and ΔDEF
AB = DE [Leg] [Given in the figure]
[Given]
[Acute angle] [Given in the figure]
Then, by the LA theorem or Postulates;
therefore, ΔABC ΔDEF .
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Answer:
<h2>See the explanation.</h2>Step-by-step explanation:
(a)
= A.
In the above matrix A, the columns refers the three type of books and the rows refers the from which stores the books are been sold.
The numbers represents the corresponding sales in the month of January.
The sale is same for the 6 months.
Hence, 6A = . This matrix 6A represents the total sales over the 6 months.
(b)
If we denote the books in stock at the starting of January by B, then
B = .
Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 plastic books to Los Angeles.
If we represent the amount restocked books at the end of each month by another matrix C, then
C = .
This restocking will be done for 5 times before the end of June.
If there would be no sale, then the stock would be
B + 5C = .
Since, the total sale is given by 6A, at the end of June, the inventory in each store can be shown as following,
B+5C-6A