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Lyrx [107]
4 years ago
9

Please help me on these questions, when/if u answer do the answer like this please "1. x=5" or what ever just so i know which on

e.
1.Solve for the variable: 2x - 28 = 16 Options: 17 -6 11.5 22
2.Solve for the variable 12=5x+7 options: 1 -5 -1 25
3.Solve for x: 140=10x+4x Options: 10 3.5 13.6 136
Mathematics
1 answer:
CaHeK987 [17]4 years ago
7 0

1. x = 22, 2. x = 1, 3. x = 10

1.

2x - 28 = 16 ( add 28 to both sides )

2x = 44 ( divide both sides by 2 )

x = 22 ← solution

2.

12 = 5x + 7 ( subtract 7 from both sides )

5 = 5x ( divide both sides by 5 )

1 = x ⇒ x = 1 ← solution

3.

140 = 10x + 4x ( collect like terms on right side )

140 = 14x ( divide both sides by 14 )

10 = x ⇒ x = 10 ← solution


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When two lines intersect, we have two sets of vertical angles.

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If we know one of the angles formed when two lines intersect, we know that the angle opposite it, the vertical angle, has the same measure.
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4 years ago
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oksian1 [2.3K]

Answer:

1. angle AEB and angle DEF

2.angle AEB and angle CEB

3. angle AEF and angle DEF

4. 120 degrees - vertical angles have the same degree

5. 13 degrees - vertical angle

6. 180-110 = 70 degrees - supplementary

7. 180-65 = 115 degrees - supplementary

Step-by-step explanation:

vertical angle = angles that are opposite of each other where two lines cross

complementary angle = angles that make up the sum of 90 degrees

supplementary angle = 2 angles with the sum of 180 degrees

8 0
3 years ago
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4 0
3 years ago
Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organiza
rusak2 [61]

Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

4 * 3 * 2 * 1 = 24

Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

7 0
3 years ago
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