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Arisa [49]
3 years ago
9

What is the measure of 2?

Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0

Answer:

Value of x:

{ \tt{(7x + 1) \degree + (18x + 4) \degree = 180 \degree}} \\  { \tt{25x + 5 = 180}} \\ { \tt{25x = 175}} \\ x = 7

Finding m‹2 :

{ \tt{m \angle2 = (7x + 1) \degree}} \\ { \tt{m \angle2 = (7 \times 7) + 1}} \\ { \bf{m \angle2 = 50 \degree}}

Kryger [21]3 years ago
6 0

Answer:

m∠2 = 50

Step-by-step explanation:

7x + 1 and 18x + 4 are angles in a linear pair.

Sum of linear pair angles is supplementary.

7x + 1 + 18x + 4 = 180

7x + 18x + 1 + 4 = 180

25x + 5 = 180

25x = 180 - 5

25x = 175

x = 175 / 25

x = 7

Substitute x = 7 in 7x + 1,

7x + 1

= 7 ( 7 ) + 1

= 49 + 1

= 50

7x + 1 and ∠2 are vertically opposite angles and vertically opposite angles are equal.

∠2 = 7x + 1

∠2 = 50

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Marco gana 1200 mensualmente . La mitad de su dinero es entregado a su mama de lo que le queda gasta en la tercera parte en ropa
statuscvo [17]

Answer:

A Marco le sobra 400.

Step-by-step explanation:

Marco gana 1200 mensualmente. La mitad de su dinero es entregado a su mamá.

La mitad de un número se calcula dividiendo el número por 2. Por lo que la mitad de lo ganado por Marco se calcula:

1200 ÷2= 600

Por lo que Marco entrega a su mamá 600 mensualmente, y quedan 600, obtenido de la resta entre lo ganado mensualmente y lo entregado a su madre.

De lo que le queda gasta en la tercera parte en ropa. La tercera parte de un número se calcula dividiendo el número por 3. Entonces:

600 ÷3= 200

Entonces Marco gasta 200 en ropa. Por lo que resta es 400, obtenido por la diferencia entre los 600 que poseía luego de entregar dinero a su madre y lo gastado en ropa.

Entonces, <u><em>a Marco le sobra 400.</em></u>

3 0
2 years ago
Please help it’s my final
Kryger [21]

Answer:

Step-by-step explanation:

5 0
2 years ago
How many four letter permutations can be formed from the first five letters of the alphabet?
Maru [420]

Answer:   120

<u>Step-by-step explanation:</u>

Permutation means that order matters.

_nP_r = \dfrac{n!}{(n-r)!}\quad \text{where n is the total \# of items and r is the quantity chosen} \\\\\text{In the given problem, n = 5 and r = 4}\\\\\\_5P_4=\dfrac{5!}{(5-4)!} = \dfrac{5\times 4\times 3\times 2 \times 1}{1}=120

8 0
3 years ago
In the 30-60-90 triangle below, side s has a length of
mario62 [17]

Answer:

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Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

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yan [13]

Answer:

x^3 + 10x^2 + 21x - 12

Step-by-step explanation:

(x + 4)(x^2 + 6x - 3)

you can separate to make it easier for u

x(x^2 + 6x - 3) + 4(x^2 + 6x - 3), this is optional u don't have to do this part

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