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Sedbober [7]
3 years ago
13

Drawing Conclusions: Geometry

Mathematics
1 answer:
leonid [27]3 years ago
8 0
AE and EC are congruent because it's given that E is the midpoint of AC. However, DE and EB cannot be congruent because it does not state that point E is the midpoint of DB.

You cannot assume that all the triangles DEA, AEB, BEC, and CED are all congruent just from being given that E is the midpoint of AC. You would need to be given other information such as "Quadrilateral ABCD is a parallelogram. "
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Escribe un número de tres cifras digamos a1b1c1, en el cual a1 sea distinto de c1; ahora invierte los dígitos a1 y c1, (obtendrá
Delicious77 [7]

Answer:

El número obtenido es:

  • <u>1089</u>.

Step-by-step explanation:

Vamos a escoger tres números sencillos para cada variable como:

  • a1 = 1
  • b1 = 2
  • c1 = 3

Por lo tanto, nuestro número de tres cifras es:

  • 123 (la única pauta es que a1 sea diferente a c1 y con este número la cumplimos)

Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:

  • 321

A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:

  • 321 - 123 = <u>198</u> (Este resultado será el mismo sin importar cuáles números elijas para el ejercicio)

Como obtuvimos el número 198, se podría decir que:

  • a2 = 1
  • b2 = 9
  • c2 = 8

Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:

  • <u>891</u>

Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:

  • 891 + 198 = <u>1089</u>

Por lo tanto, <u>el número obtenido al final es 1089</u>, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.

3 0
3 years ago
Help!!! <br> Does this graph represent a function?
Cerrena [4.2K]
No because of how the slope is
5 0
4 years ago
Read 2 more answers
Which is greater 5.05 or 5.050
Paladinen [302]
They’re equivalent.
8 0
4 years ago
Read 2 more answers
The union of sets P = {5, 6, 7, 8, 9} Q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2,
mamaluj [8]

Answer: First option.

Step-by-step explanation:

Given two sets <em>A</em> and <em>B, </em>the union (<em>A</em>∪B) will be the set of elements which belong to either <em>A</em> or to <em>B</em> or to both.

Inf this case you have these two sets:

P={5, 6, 7, 8, 9} and Q={1, 2, 3, 4, 5}

To find the union of these sets, put together the elements of the set <em>P</em> and the elements of the set <em>Q</em> (you need  to remember that no element must be repeated).

Then, you get that the union of sets <em>P </em>and <em>Q</em> is:

P∪Q={1, 2, 3, 4, 5,6, 7, 8, 9}

This matches with the first option.

7 0
4 years ago
P and Q are points on the line
Alina [70]

Answer:

P(0, 4 ), Q(2, 0 )

Step-by-step explanation:

To find P, with an x- coordinate of 0

Substitute x = 0 into the equation and solve for y

4(0) + 2y = 8 , that is

2y = 8 ( divide both sides by 2 )

y = 4

Thus P(0, 4 )

To find Q with a y- coordinate of 0

Substitute y = 0 into the equation and solve for x

4x + 2(0) = 8, that is

4x = 8 ( divide both sides by 4 )

x = 2

Thus Q(2, 0 )

4 0
3 years ago
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