Which explanation do you prefer?

The Corresponding angles and Corresponding sides are shown below,

                             [tex]\angle RWX=\angle VXW\\\\\angle RXW=\angle VWX\\\\\angle V=\angle R[/tex] and       [tex]RW=VX\\\\RX=VW\\\\WX=WX[/tex]

Two triangles are said to be congruent, when corresponding sides and corresponding angles of both triangles are equal.

Given that, triangles WXV and XWR are congruent. so that corresponding sides and angles of these triangles are also equal.

Corresponding angles are shown below,

                             [tex]\angle RWX=\angle VXW\\\\\angle RXW=\angle VWX\\\\\angle V=\angle R[/tex]

Corresponding sides are shown below,

                         [tex]RW=VX\\\\RX=VW\\\\WX=WX[/tex]

Learn more about the congruent triangles here:

https://brainly.com/question/1675117

Answer:

16%

Step-by-step explanation:

[tex]\frac{|49-58|}{58}*100=15.5=16[/tex]

Answer:

Step-by-step explanation:

.155 would be the decimal. 58-49 is 9. 9/58 to find the decimal of .155. then multiply by 100 to get 15.5% or 16%

Answer:

44

Round down to 44

Answer:

44

Step-by-step explanation:

1 is after 44, so it rounds down

Answer:

The answer is "The last choice".

Step-by-step explanation:

In these cases, its line is drawn test fails the roles seen in the top  left or bottom right areas, although in the top left edges it succeeds the examination.  

The map is formed by representing the chart in diagonal line Y=x,  thus substituting x and y. Its variable of one component is seen.  This other than is only a feature whenever the vertical line test was passed.

Answer:

Another answer is the first one(top left)

Step-by-step explanation:

Answer: 35

Step-by-step explanation: 70% of 50 is 35

Answer:

32

Step-by-step explanation:

10  divided  by  5/2  or  2  and  1/2  is  4   4  x  8  =  32.

Answer:

3

Step-by-step explanation:

Given:

Total syrup = 64 fluid ounces

Syrup used each day = [tex]3\dfrac{1}{5}[/tex] fluid ounces

To find:

Whether there is enough syrup in the bottle for 25 days or not.

Solution:

According to the question,

Requirement of syrup for 1 day [tex]=3\dfrac{1}{5}[/tex] fluid ounces

                                                   [tex]=\dfrac{3\times 5+1}{5}[/tex] fluid ounces

                                                   [tex]=\dfrac{16}{5}[/tex] fluid ounces

Requirement of syrup for 25 day [tex]=25\times \dfrac{16}{5}[/tex] fluid ounces

                                                       [tex]=\dfrac{400}{5}[/tex] fluid ounces

                                                       [tex]=80[/tex] fluid ounces

Syrup required for 25 days is 80 fluid ounces which is greater than 64 fluid ounces.

Therefore,  64 fluid ounces of syrup is not enough for 25 days.

Answer:

y= x+1/2, (-4,1)

y= x+6, (-1,-3)

y= x - 9, ( 0,0)

Answer:

El costo de una botella de agua es de $10

El costo de una bolsa de palomitas de maíz es de $15.

Step-by-step explanation:

Los parámetros dados son;

El costo de dos botellas de agua y 3 bolsas de palomitas de maíz = $65

El costo de 4 botellas de agua y 1 bolsa de palomitas de maíz = $55

Donde x = El costo de una botella de agua ey = El costo de una bolsa de palomitas de maíz, tenemos;

2 × x + 3 × y = 65 ... (1)

4 × x + y = 55 ... (2)

Haciendo y el tema de ambas ecuaciones, tenemos;

Para la ecuación (1), tenemos;

2 · x + 3 · y = 65

3 · y = 65 - 2 · x

y = 65/3 - 2/3 · x

Para la ecuación (2), tenemos;

4 · x + y = 55

y = 55 - 4 · x

Igualando ambos valores de y para encontrar la solución común, tenemos;

65/3 - 2/3 · x = 55 - 4 · x

4 · x - 2/3 · x = 55 - 65/3

10 · x / 3 = 100/3

∴ 10 · x = 100

x = 100/10 = 10

x = 10

El costo de una botella de agua = x = $10

y = 55 - 4 · x = 55 - 4 × 10 = 55 - 40 = 15

y = 15

El costo de una bolsa de palomitas de maíz = y = $15

Teniendo en cuenta la definición de sistema de ecuaciones lineales, el costo de una botella de agua es $10, mientras que el costo de una bolsa de palomitas es $15.

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

En este caso, se debe plantear un sistema de ecuaciones lineales teniendo en cuenta que:

Por un lado, se sabe que el costo de 2 botellas de agua y 3 bolsas de palomitas es de $65. Esto se expresa mediante: 2x + 3y= 65

Por otro lado, se sabe que el costo de 4 botellas de agua y 1 bolsa de palomitas es de $55, expresado mediante 4x + y= 55

Entonces, el sistema de ecuaciones a resolver es:

[tex]\left \{ {{2x+3y=65} \atop {4x+y=55}} \right.[/tex]

Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución , que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.

En este caso, aislando la variable "y" de la segunda ecuación se obtiene:

y= 55 -4x

Reemplazando en la primer ecuación se llega a la expresión:

2x+3×(55 -4x)=65

2x +3×55 - 3×4x=65

2x + 165 - 12x=65

2x -12x= 65 -165

-10x=-100

x= (-100)÷ (-10)

x=10

Finalmente, para obtener el valor de y se reemplaza en la expresión anteriormente obtenida para y:

y= 55 -4x

y= 55 -4×10

y= 55 - 40

y=15

Finalmente, recordando que x representa el costo de una botella de agua e y representa el costo de una bolsa de palomitas, entonces el costo de una botella de agua es $10, mientras que el costo de una bolsa de palomitas es $15.

Aprende más sobre sistemas de ecuaciones lineales:

Answer:

a: proportional

Step-by-step explanation:

48/42=16/14

48/3=16

42/3=14

Answer:

4 mins

Step-by-step explanation:

Tank 1: 24

Tank 2: 8

Tanks 3: 12

So you add them all up to equal the "work". which is one. Looks like this:

*** x/24 + x/8 + x/12 = 1 ***

multiply all by 24

x+3x+2x=24

add like terms

6x=24

divided by 6

x=4

So x=4 minutes.

:)

*** You could check by putting 4 into x by the * (stared) problem

Answer:

y=5×+2

Step-by-step explanation:

5(1)+2=7

5(2)+2=12

5(3)+2=17

5(4)+2=22

Answer:

180

Step-by-step explanation:

240*75%=240*0.75=240*(3/4)=240/4*3=60*3=180

Answer:

180

Step-by-step explanation:

there are two ways to do this but the easiest way is just to divide 120 by 2 then add it to 120 so

120 + 60 = 180

give brainliest please :)

Answer:

37.5 miles per gallon

Step-by-step explanation:

In order to calculate the mileage per gallon of the car we simply need to divide the total number of miles that the car has travelled by the total amount of gas that is used during that time. Since we are given both of these values then we can simply go ahead and use these values to find the car's gas mileage...

356.35 / 9.5 = 37.5 miles per gallon

Finally, we can see that the taxi driver's car gets roughly 37.5 miles per gallon.

Answer:

-7

Step-by-step explanation:

Answer:

The correct answer is -7.

Step-by-step explanation:

(5,-6) and (2,15)

15-(-6) divided by 2-5

After doing that you'll get 21 over negative 3

You then divide 21 by -3, and you get -7.

Answer:

Her gross pay for the week is $681.2.

Step-by-step explanation:

First, you can determine the amount  she would earn for working 40 regular hours by multiplying the number of hours for the amount she receives per hour:

$13.10*40=$524

Now, to calculate the amount Marg earns for 8 hours of overtime, you need to determine the amount she earns per hour of overtime given that she is paid time and a half which means that you need to multiply the amount she earns by regular hour for 1.5. Then, you have to multiply this for the number of hours:

($13.10*1.5)*8=$157.2

Finally, you need to add the amount she earns by working 40 regular hours plus the amount she earns by working  8 hours of overtime in one week:

$524+$157.2=$681.2

According to this, the answer is that her gross pay for the week is $681.2.

Answer: was that not the answer

Step-by-step explanation:

Answer:

The mode is no mode for the first and second but the third is 80

I am confused as to why there wasn't more than one of the same number for this problem

Remember that mode is the one that appears the most!

Step-by-step explanation:

A song that I learned in 4th grade by my teacher kinda helps with this lol:

Range is the maximum minus the minimum

The mode is the one that appears the most

The median is the one in the middle

Now you know about Data!

Just try and say that over and over or write it down somewhere lol

I hope this helps

plz mark B R A I N L I E S T

Answer:

a) 15°

b) No mode

c) 80°

Step-by-step explanation:

Mode:

The value/quantity that occurs most often is the mode of the data set.

Part a)

15°  (Occurs 2 times)

Part b)

No mode (Each value occurs equally i.e. 1 time)

Part c)

80° (Occurs 2 times)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

1/30 in fraction form.

0.033333333....

Step-by-step explanation:

The exterior angle of a triangle is congruent to the sum of the opposite interior angles

The measure of the exterior angle of the triangle  is 114 degrees

From the figure,

So, the interior and exterior angles have the following relationship

[tex]\mathbf{3x + 6 = 2x + 18 + 24}[/tex]

Collect like terms

[tex]\mathbf{3x - 2x = -6 + 18 + 24}[/tex]

[tex]\mathbf{x = 36}[/tex]

The exterior angle is given as:

[tex]\mathbf{\theta = 3x + 6}[/tex]

Substitute 36 for x

[tex]\mathbf{\theta = 3 \times 36 + 6}[/tex]

[tex]\mathbf{\theta = 114}[/tex]

Hence, the exterior angle is 114 degrees

Read more about exterior angles at:

https://brainly.com/question/17972372

Answer:

680, hope this helps!

Answer:

El marino se encuentra a 40 metros de la costa.

Step-by-step explanation:

Podemos ver la conjunción de la proyección de la sombra del marino con su altura como un triángulo rectángulo con:

b: base = cateto inferior = 2 m

h: altura = cateto superior = 1.80 m

θ₁: ángulo entre la hipotenusa y h (cateto inferior o base).

De este primer triángulo tenemos:

[tex] tan(\theta_{1}) = \frac{h}{b} = \frac{1.80 m}{2 m} = 0.9 [/tex]   (1)

Ahora, dado que la proyección del marino se debe al faro, de la atura de éste junto con la distancia entre el marino y la costa tenemos:

x: distancia entre el marino y la costa = cateto inferior =?

H: altura del faro = cateto superior = 36 m

θ₂: ángulo entre la hipotenusa y "x" (base).

De este segundo triangulo tenemos:

[tex] tan(\theta_{2}) = \frac{H}{x} = \frac{36 m}{x} [/tex]  

[tex]x = \frac{36 m}{tan(\theta_{2})}[/tex]   (2)

Debido a que θ₁ = θ₂ (por ser los dos triangulos semejantes), entonces introduciendo la ecuación (1) en (2) tenemos:

[tex]x = \frac{36 m}{tan(\theta_{1})} = \frac{36 m}{0.9} = 40 m[/tex]

Por lo tanto, el marino se encuentra a 40 metros de la costa.

Espero que te sea de utilidad!

Answer:

Your answer would be A!!!

Step-by-step explanation:

Hope this helped!!!

Answer:

64=x

Step-by-step explanation:

128= 2x

128÷2= 64

x=64

Answer:

Thank you so much!!

Step-by-step explanation:

Thank you so much for helping others.

Successful and unsuccessful people do not vary greatly in their abilities. They vary in their desires to reach their potential. – John Maxwell

Answer:

hey dont worry we r aliens on a floating rock in space after all, nothing matters we r less than an atom in space :)

Answer:

ditto

i will literally shank myself if i see another angle

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

its b  hi how was yalls day

Answer: B) -3x+2=21

Step-by-step explanation:

3(x+2)=21     x = -9

-3x-6=21       x = -9

this answer is correct bc x = the same for both equations.