Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?

converse of the corresponding angles theorem

converse of the alternate interior angles theorem

converse of the same side interior angles theorem

converse of the alternate exterior angles theorem

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

Answer:

7°

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

The nth term is a1rn-1.

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

                                32(3-1)n-1 = 3-3

                                3231-n = 3-3

                                    33-n = 3-3

                                      3-n = -3

                                         n = 6

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

                                              = 9(1 - 1/729) / (2/3)

                                              = (27/2)(728/729) = 364/27

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

Answer: ±4 y ±6

Step-by-step explanation:

Algunas definiciones:

Sea N un numero real.

El cuadrado de un numero es:

N^2.

Ahora, nos dicen que N es par, entonces podemos escribir:

N = 2*n

donde n es un numero entero.

Y el par consecutivo a N, va a ser M = N + 2.

M = 2*n + 2.

Entonces:

"La suma de los cuadrados de dos números reales pares consecutivos es 52"

(2n)^2 + (2n + 2)^2 = 52

Tenemos que resolver esto para n.

4n^2 + 4n^2 + 8n + 4 = 52

Entonces tenemos una ecuación cuadrática:

8*n^2 + 8n + 4 - 52 = 0

8*n^2 + 8n - 48 = 0

Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:

(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.

Ahora resolvamos esto para n, las dos soluciones son

[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]

Entonces las dos soluciones son:

n = (-1 - 5)/2 = -3

n = (-1 + 5)/2 = 2

Entonces, si tomamos la primer solucion, los numeros consecutivos son:

N = 2*-3 = -6

M = N + 2 = -4

Si tomamos la segunda solucion, n = 2.

N = 2*2 = 4.

M = N + 2 = 6.

Entonces podemos concluir que las soluciones son:

±4 y ±6

Answer:

16 units squared

Step-by-step explanation:

shbajabdhskan

Answer:

10

Step-by-step explanation:

Answer:

y=4x+1

Step-by-step explanation:

I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.

Answer:

y - 1 = 4 ( x - 0 )

Step-by-step explanation:

point slope form

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

Answer:

c

Step-by-step explanation:

its the only answer that makes sense

Answer:

C

Step-by-step explanation:

it makes complete 100% sense

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

Answer:

1&1/3

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(8 - 0) / (4 +2)

8/6

1 1/3

Answer:

50° and 130°

Step-by-step explanation:

Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°

3x-4+8x-14=180°

11x-18=180°

11x=198°

x=18°

Angle1 = 3*18 -4 = 50°

Angle2 = 8*18 -14= 130°

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

Answer:

0.81

Step-by-step explanation:

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

Answer:0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

i like to turn them into improper fractions

4 and 1/2 is 9/2

6 is 6/1

to divide fractions, multiply by the reciprocal

6/1 flipped is 1/6

then multiply

9/2 x 1/6 = 9/12

simplify

3/4

I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.

Answer:

n=31°

Step-by-step explanation:

If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.

We can see that angles 2 and 3 form a right angle, or:

[tex]m\angle 2 + m\angle 3=90^\circ[/tex]

We are also given that:

[tex]m\angle 2=2n-4[/tex]

[tex]m\angle 3=n+1[/tex]

Substituting (get rid of the units):

[tex]2n-4+n+1=90[/tex]

Joining like terms:

[tex]3n-3=90[/tex]

Adding 3:

[tex]3n=90+3=93[/tex]

Solving:

[tex]n=93/3[/tex]

n=31°

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

Answer:

Step-by-step explanation:

given data

let the total charge be y

and let the number of pound be n

also let the charge per pound be p

we know that the expression for the total charges is given as

y=2+np

given that

y=$38

n=9

the expression the charges is now

38=2+9p

solving for p we have

38-2=9p

36=9p

p=36/9

p=4

therefore she is charged $4 per pound

Answer:

D

Step-by-step explanation:

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent