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Svet_ta [14]
4 years ago
13

Which reason validates the statement: "The diagonals of a rectangle are congruent"

Mathematics
1 answer:
Colt1911 [192]4 years ago
3 0

Answer:

D. Distance formula to prove AC and BD are congruent.

Step-by-step explanation:

A rectangle is a parallelogram with 4 right angles.  Now, since a rectangle is a parallelogram, its opposite sides must be congruent and it must satisfy all other properties of parallelograms

The diagonals of a rectangle are congruent if AC = DB

So the correct option is option D.

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Un comerciante de algodón de azúcar gana 40 cm por cada algodón vendido pero si no lo logra venderlo pierde 50 céntimos. un día
gayaneshka [121]

Answer:

He fails to sell that day 10 cottons.

Step-by-step explanation:

We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.

One day when he made 120 cottons, he made a profit of 39 soles.

Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.

So, according to the question;

  • The first condition states that he made 120 cottons on one day, that is;

                                   x + y = 120

                                   x = 120 - y    ---------------------- [Equation 1]

  • The second condition states that merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents and due to which he made a profit of 30 soles, that is;

                               0.40x - 0.50y=39

                               40x - 50y=3900

                               40(120-y) - 50y=3900  

                               4800-40y - 50y=3900

                               90y=4800-3900

                                90 y = 900

                                  y=\frac{900}{90}=10

This means that the merchant is not able to sell 10 cottons.

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