Given 1 || m ||
n, find the value of x.
m
140°
n
(8x+12)

Answer: 3,618

Step-by-step explanation: You multiply 27 and 134 which equals 3,618.

Answer:

There were 3,618 chairs reserved for the workshop.

Step-by-step explanation:

134 chairs per 27 rooms

134*27 = 3,618

Answer:

x=-3

Step-by-step explanation:

Solve for x:

5x+2=4x−1

Move all terms containing x to the left side of the equation.

x+2=−1

Move all terms not containing x to the right side of the equation.

x=−3

Answer:

z = -1

Step-by-step explanation:

add like terms: 13z = -13

divide both sides by 13: z = -1

Answer:

z=-1

Step-by-step explanation:

Combine like terms: 11+2 ( 13z )

Divide: -13/13 ( -1 )

Answer:

14

Step-by-step explanation:

2 plus 5 plus 7

The constant of proportionality for the ratio of cubs to female bears is 3.

The constant of proportionality is typically used when we are comparing something with another thing.

In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:

= 3/1

= 3

In conclusion, the correct option is 3.

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Answer:

(-2, 12)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I counted by recording all the numbers nd steps

Answer:

C

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)

Answer:

wfek

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120 times 0.75 =90

Answer:

4

Step-by-step explanation:

Hope this helps!

Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.

Answer:

T and Q

Step-by-step explanation:

It is right

Answer:

<STQ and <UTV

Step-by-step explanation:

Answer Hope this helps ^_^ Diamond is the name

Seven more than a number

Step-by-step explanation:

More than means + that number after the term. Because +7 comes after y, +7 is more than.

Answer:

D.

Step-by-step explanation:

Answer:

the answer is d 64 because a rational number is a whole number not decimals.

Step-by-step explanation:

brainliest pls

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]

[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]

Answer:

io

Step-by-step explanation:

Answer:

x=206

Step-by-step explanation:

Answer:

5.196 m

Step-by-step explanation:

p = La perpendicular del triángulo es la longitud de la antena.

h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m

[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]

De las funciones trigonométricas sabemos que

[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]

La longitud de la antena es 5.196 m.

Answer:

Step-by-step explanation:

The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

What is a parabola ?

A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.

We know that , the standard form or general equation of a parabola is given by :

y  = a ( x - h )² + k

where : vertex is (h, k) and focus ( h , k + p)

We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]

It is given that focus is (2 , 6).

From focus :

h = 2 and k + p = 6

whereas from directrix :

k - p = 4

Adding both

k + p = 4

k - p = 6

We get :

2k = 10

or

k = 5

So ,

p = 1

And vertex will be :

(h , k) = (2 , 5).

The vertical distance from vertex to directrix p = 1 :

y  = a ( x - 2 )² + 5

here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4

So , the standard form of given parabola will be :

y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5

Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

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Answer:

$20

Step-by-step explanation:

Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.

30s+4a=720

25s+4a=620

What is the cost for each student ticket?

Solution:

30s+4a=720

(1)

25s+4a=620 (2)

Subtract (2) from (1)

30s - 25s = 720 - 620

5s = 100

Divide both sides by 5

s = 100/5

= 20

s = $20

Substitute the value of s into (1)

30s + 4a = 720

30(20) + 4a = 720

600 + 4a = 720

4a = 720 - 600

4a = 120

a = 120 / 4

= 30

a = $30

Each student tickets cost $20

Answer:

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.

Step-by-step explanation:

Hope this helps

Answer:

x = 18

These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.

Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180

10x + 0 = 180

10x = 180

x = 180/10

x = 18

Answer:

Step-by-step explanation:

One third

The centroid of a triangle divides each median.

The shorter segment is 1/3 and the length of the entire segment is 1

The centroid of a triangle divides the median in the following ratio

[tex]\mathbf{Ratio = 2 : 1}[/tex]

The fraction of the shorter segment is:

[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]

[tex]\mathbf{Short = \frac{1}{3}}[/tex]

Hence, the shorter segment is 1/3, while the entire segment is 1.

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Answer:

x < -8

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define inequality

12 < -3(x + 4)

Step 2: Solve for x

Here we see that any value x that is smaller than -8 would work.