what is the range of the data below ? 2,5,12,13​

Answer:

C

Step-by-step explanation:

Visit the site tigeralgebra.com and type in the expression  

Answer:

What is the measure of angle J?

42 degrees

Which side of AMNO corresponds to JK?

MO

What is the ratio of the larger triangle to the smaller triangle?

2/1

Answer:

answer goes as follows

Step-by-step explanation:

1: b

2: a

3: c

[tex] {tan}^{ - 1} = \frac{opp}{adj } = \frac{15}{6} [/tex]

[tex] = 68.2 \: degrees[/tex]

Answer:

4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

the sides are proportional by 5. so the equation needed is

3x+8=20

3x=20-8

3x=12

x=12/3

x=4

Answer:

37°

Step-by-step explanation:

(4x + 2)° = 150° [Vertically Opposite Angles]

=> 4x = 150 - 2

=> 4x = 148

[tex] = > x = \frac{148}{4} [/tex]

=> x = 37° (Ans)

Angle (4x+2)° and angle 150° are vertically opposite angles so, their measures will be equal.

Which means :

[tex] =\tt 4x + 2 = 150[/tex]

[tex] =\tt 4x = 150 - 2[/tex]

[tex] = \tt4x = 148[/tex]

[tex] =\tt x = \frac{148}{4} [/tex]

[tex]\hookrightarrow \: \color{plum}x = 37[/tex]

Let us check whether or not we have found out the correct measure of x by placing 37 in the place of x:

[tex] =\tt 4 \times 37 + 2 = 150[/tex]

[tex] = \tt148 + 2 = 150[/tex]

[tex] =\tt 150 = 150[/tex]

Since the measures of both the angles are equal we can conclude that we have found out the correct value of x.

Thus, the value of x in this figure = 37

Therefore, the correct option is (A) 37.

Answer:

The first one

Step-by-step explanation:

Answer:

The first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:

[tex]-3, 9, -27, 81, -243, 729[/tex]

Step-by-step explanation:

Given the sequence

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

Here [tex]n[/tex] represents any term number in the sequence

Determining the first term

substitute n = 1 in the sequence to determine the first term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]\:f\left(1\right)=\left(-3\right)^1[/tex]

[tex]f\left(1\right)=-3[/tex]

Thus, the first term is -3.

Determining the 2nd term

substitute n = 2 in the sequence to determine the 2nd term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]\:f\left(2\right)=\left(-3\right)^2[/tex]

[tex]\:f\left(2\right)=9[/tex]

Thus, the 2nd term is 9.

Determining the 3rd term

substitute n = 3 in the sequence to determine the 3rd term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(3\right)=\left(-3\right)^3[/tex]

[tex]f\left(3\right)=-27[/tex]

Thus, the 3rd term is -27.

Determining the 4th term

substitute n = 4 in the sequence to determine the 4th term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(4\right)=\left(-3\right)^4[/tex]

[tex]f\left(4\right)=81[/tex]

Thus, the 4th term is 81.

Determining the 5th term

substitute n = 5 in the sequence to determine the 5th term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(5\right)=\left(-3\right)^5[/tex]

[tex]f\left(5\right)=-243[/tex]

Thus, the 5th term is -243.

Determining the 6th term

substitute n = 6 in the sequence to determine the 6th term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(6\right)=\left(-3\right)^6[/tex]

[tex]f\left(6\right)=729[/tex]

Thus, the 6th term is 729

Therefore, the first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:

[tex]-3, 9, -27, 81, -243, 729[/tex]

Answer:

It has to start on 5 and then go to 0, or else not all of the numbers will go in the knight move pattern.  

We have 5034927618 and 5038167294, plus their opposites (the same number backwards). So only 4 numbers can be formed.

Step-by-step explanation:

Step-by-step explanation:

so let's start we have $60 for a ticket so we buy one ticket adding up to $60 and then we do 60÷2=30 so 50% off is $30 then we add $60+$30=$90 for the 2 tickets

Answer:

Emily has 5 apples!!!

Step-by-step explanation:

Ok,

Let the apples Emily has be 'x'

Now,

× + 25= 30

Transpose 25 to RHS

× = 30-25

× = 5

Therefore, Emily has 5 apples :D

Hope it helps!!!

Answer:

y+3 = -2(x)

Step-by-step explanation:

The equation of the line that passes through the points

(5,-5) and (-5,-1)  is  y=-2/5x-3.

Answer:

24 pounds

Step-by-step explanation:

Step 1: Find out how many pens he bought

12 pens per pack

Charles bought 60 packs

60 packs x 12 pens = 720 pens

Step 2: Find out how much Charles spent

2.80 per pack

Charles bought 60 packs

60 x 2.80 = 168 pounds

Step 3: Find out how many pens Charles sold

Charles sold 2/3 of his pens

2/3 x 720 = 480

Step 4: Find out how manypens he sold

Charles sold the pens for 40p

40p x 480 = 19200p

Step 5: Convert pences to pounds

19200p = 192 pounds

Step 6: Find the profit

192 - 168 = 24 pounds

Step 7: Therefore statement

Therefore he mad 24 pounds of profit

Answer:

a = 84°

b = 36°

c = 24°

d = 84°

e = 132°

Step-by-step explanation:

The parameters of the workers in the office are;

The number of staffs in the office = 60 staffs

The take-aways are pizza, curry, fish & chips, kebab and other

The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively

The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively

In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;

∠a = 360° × 14/60 = 84°

∠b = 360° × 6/60 = 36°

∠c = 360° × 4/60 = 24°

∠d = 360° × 14/60 = 84°

∠e = 360° × 22/60 = 132°

Step-by-step explanation:

I've shown the process in the picture.

hope u understand

Answer:

The amount saved in June is;

$(2x + 4)

Step-by-step explanation:

Here, we want to get the amount saved in June

From the question, she saved $5 more than twice here usual amount

twice here usual amount is 2 * x = $2x

So, adding the extra $4; the amount saved will be;

2x + 4

6983245455445

it's correct

Answer:

16.5

Step-by-step explanation:

A is the correct answer

Step-by-step explanation:

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

but 16.5 is the answer

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Suppose A is (-3,6) when it starts out.

Now we take the reflected point and move it three units. up

Answer:

∆ABC  is congruent to ∆XYZ.

Corresponding sides of  ∆ABC and  ∆XYZ  are not congruent.

Corresponding angles of  ∆ABC and  ∆XYZ  are congruent.

Step-by-step explanation:

The act of factoring is to reduce numbers down to their prime number.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

A prime number is a positive integer having exactly two factors that are 1 and the number itself. Any number that does not follow this is termed a composite number.

For example:

Let the number 2310, then the factor of the number 2310 will be

2310 = 2 × 3 × 5 × 7 × 11

Where, 2, 3, 5, 7, and 11 are the prime numbers.

The act of factoring is to reduce numbers down to their prime number.

More about the factorization link is given below.

https://brainly.com/question/6810544

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Step-by-step explanation:

formula to find area of a triangle:

A=1/2 × base × height(h)

insert the values into the formula:

24=1/2 × 4 × h

solve for h :

24=2h

24/2=h

h = 12 cm ( Ans )

The height of triangle will be 12 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle has a base length of 4 cm.

And, A total area of 24 cm².

Now,

We know that;

Area of right triangle = 1/2 × Base × Height

⇒ 24 = 1/2 × 4 × h

⇒ 24 = 2 × h

⇒ h = 24 / 2

⇒ h = 12 cm

Thus, The height of triangle = 12 cm.

Learn more about the triangle visit:

https://brainly.com/question/17335144

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Answer:

a = 32

Step-by-step explanation:

Step 1: Understand the question

The 2 angles inside are supplamentary angles which means they add up to 180

Step 2: Set up the equation

If the 2 angles added up equal to 180 you can create an equation that states

[tex](2a+7)+109=180[/tex]

Step 3: Solve for the variable

[tex](2a+7)+109=180\\2a+7+109\\2a+116=180\\2a=64\\\frac{2a}{2}=\frac{64}{2}\\a=32[/tex]

Step 4: State your answer

Therefore the value of "a" is 32

The (45,3) and (30,0) are the correct-ordered pairs that correspond to input-output pairs for the function.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given the function:

y = 5t +30,

Here y is the no of gallons and t is the time.

Take the values of option A and substitute in the function,

45 = 5 × 3 +30

45 = 45

Hence, it is the correct-ordered pair,

Similarly, take option b

3 = 45 × 5 +30

3 ≠ 255

Now take option c,

0 = 30 × 5 +30

0 ≠ 180

Take the last option,

30 = 0 × 5 +30

30 = 30

Hence, it is also the ordered pair.

Therefore, the (45,3) and (30,0) are the correct-ordered pairs that correspond to input-output pairs for the function.

To know more about function:

https://brainly.com/question/5975436

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Answer:

B.2

Step-by-step explanation:

g(1) if g(x) =x^2+1

= x^2 + 1 = (1)^2 + 1 = 1 + 1 = 2

Answer:

B

Step-by-step explanation:

To evaluate g(1) , substitute x = 1 into g(x), that is

g(1) = 1² + 1 = 1 + 1 = 2

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

a-28-(19)=0

Step by step solution :

STEP1:

Solving a Single Variable Equation:

1.1 Solve : a-47 = 0

Add 47 to both sides of the equation :

a = 47

One solution was found :

a = 47

Step-by-step explanation:

Hope it is helpful.....

128) Los vertices de esta figura son:

(-2,1) (4,1) (4,-2) (0,-3)

129)  Siempre se busca primero la coordenada horizontal! esa es la coordenada en "x"  . Despues es la coordenada  vertical , que es la coordenada en "y" .

 Por lo tanto , para el punto de arriba , la coordenada horizontal  es 1  y la vertical es 3, por lo tanto  la coordenada del punto es (1,3) .

Las coordenadas de los puntos son entonces.

 [tex](1,3)\\(3,0)\\(2-2)\\(-1,-2)\\(-2,1)[/tex]        

130) Las coordenadas del vertice faltante son  (1,-2)    

131) Tenemos que representar un hexágono concavo en el plano cartesiano.

  Un hexágono concavo es un poligono de 6 lados y 6 ângulos, siendo uno de estos últimos mayor a 180 grados.

Podemos dibujar de la siguiente manera: elegir 5 vertices como si fuera un hexágono irregular cualquiera alrededor del origen de coordenadas, y luego elegir a (0,0) como el ultimo vertice. Esta es una de las varias maneras de resolverlo, no la unica .

Como ejemplo, puede ser el siguiente hexágono:

132) Si tenemos los vertices K y L, una forma de  completar un  triangulo isosceles con un tercer vertice es colocar este  vertice en algun punto de la linea perpendicular a KL y que pasa por su punto medio.

Las coordenadas de M, el punto medio de KL se puede calcular como el  promedio de las coordenadas de los extremos K y L:

[tex]Xm=\frac{xK+xL}{2} =\frac{-1+(-1)}{2} =-\frac{2}{2} =-1\\Ym=\frac{Yk+yL}{2} =\frac{2+(-4)}{2} =\frac{-2}{2} =-1[/tex]

Como la linea definida por KL es una  linea vertical, sus lineas perpendiculares seran lineas horizontales. Entonces ,la recta y=-1 es perpendicular a KL y passa por el punto medio de KL.

Cualquier vertice con coordenadas (x,-1), excepto (-1,-1) , formaran un triangulo isosceles.

Como ejemplo , seleccionemos un vertice en (5,-1):

Como tenemos un eje de  simetria en y=-1 , el triangulo KLM es isosceles.

132) Si tomaremos el ejemplo anterior y nos corrieramos del eje de simetria  obterndriamos un triangulo escaleno, es decir, con 3 lados con distintas longitudes.

NOTA: Tener cuidado que por casualidad no coincidan KM o LM con KL (longitud 6).

Por ejemplo, si corremos M hasta (5,0) obtendremos un triangulo isosceles, dado que el segmento KM tendria  longitud 6, al igual que KL.

Para asegurarnos que los tres lados tengan longitudes diferentes, formamos un triangulo rectangulo con dos catetos con diferentes longitud. Un cateto es KL, de longitud 6, y el otro cateto sera KM , de longitud 3 si colocamos a M en (2,2):    

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