A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"d" directly proportional to "t"}}{d=kt}\qquad \textit{we also know that} \begin{cases} d=910\\ t=13 \end{cases} \\\\\\ 910=k13\implies \cfrac{910}{13}=k\implies 70=k~\hfill \boxed{d=70t} \\\\\\ \textit{when t=14, what is "d"?}\qquad d=70(14)\implies d=980~miles[/tex]

Answer:

c. y=4x+24

Step-by-step explanation:

To identify the equation, the equation must satisfy the points (-5,3).

putting x as -5 should give us y=3

c. y = 4x + 23

y = 4 * (-5) + 23

y = -20 + 23

y = 3

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

Identify an equation in slope-intercept form for the line parallel to y = 4x - 9

that passes through (-5,3).

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

If lines are parallel to each other, they have the same slope.

If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.

All right, we know the slope, but that's part of the slope-intercept equation,

We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.

Point-slope form looks like so:-

[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 3, m with 4, and x1 with -5:-

[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]

On simplification,

[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]

On further simplification,

[tex]\longmapsto\sf{y-3=4x+20}[/tex]

On further simplification,

[tex]\longmapsto\sf{y=4x+20+3}[/tex]

Final equation:-

[tex]\longmapsto\sf{y=4x+23}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.

Answer:

400000

Step-by-step explanation:

your welcome

Answer:

-35

Step-by-step explanation:

Answer:

54(16÷8)-10?????

Step-by-step explanation:

I'm bad at this

Step-by-step explanation:

A. AT1,2).B1.0).C'(4.0).D*(4,2)

your answer

Answer:

I am going to use a dot to represent a line:

1 . 1, 2, 3, 3, 7

2. 2, 3, 4

3. 2, 5

Answer:

$204

Step-by-step explanation:

Expression : 240 x 15%

15% x 100 = 0.15

Equation : 240 x 0.15 = 36

Final Answer : 36

240 - 36 = 204

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.

The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.

Givens

<1 = 50 degrees

<2 = 50 degrees

Exterior angle = 15x + 25   Substitute the givens into the equation

Equation

<1 + <2 = 15x + 25

Solution

50 + 50  = 15x + 25                       Combine the left side

100 = 15x + 25                               Subtract 25 from both sides

100 - 25 = 15x + 25 - 25                Combine

75 = 15x                                          Divide both sides by 15

75/15 = 15x/15                      

5 = x

Answer

<1 = 50 degrees

<2 = 50 degrees

15x + 25 = 75 + 25 = 100

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)

The answer is greater than 450 because the percentage is less than 100%

b)

36% = 36/100 = 0.36

450/0.36 = 1250

how many people were surveyed?:

1250

Answer:

10 I think but not sure. but It has to be an Evan number

Answer:

[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]

[tex]\huge\rm\underline{Answer}[/tex]

✧ Rational numbers are represented on the number line by dividing a unit into as many divisions as the denominator of the rational number

Here , Each unit is divided into 7 equal parts . It means denominator of the rational number is 7.

So , A represents -10/7

So , B represents -6/7

So , C represents 3/7

So , D represents 15/7

Hope it helps ~

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12\% of 59.7}}{\left( \cfrac{12}{100} \right)59.7}\implies 7.164[/tex]

Answer:

9.6 ft.

Step-by-step explanation:

Given they are similar, take the sides of the triangles in proportion.

Answer:

Question 1:

Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.

Question 4:

The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.

Step-by-step explanation:

Question 1:

Question 4:

Answer:

x < & = -23/2

Step-by-step explanation:

Let a number be x.

Twice a number = 2x

2x - 3 = -26 and 2x - 3 < -26

2x = -23 and 2x < -23

x = -23/2 and x < -23/2

The linear equations for the system: y = x + 70 and y = 4x + 10

She'll attend 20 classes/month

The graph for the solution (20, 95) is in the image attached below

A linear equation can expressed in slope-intercept form, as, y = mx + b.

Linear equation for the first membership plan:

b = 70

m = 1

x = number of classes

y = total amount

Equation for the first membership plan: y = x + 70

Linear equation for the second membership plan:

b = 10

m = 4

x = number of classes

y = total amount

Equation for the second membership plan: y = 4x + 10

The system of equations are:

y = x + 70

y = 4x + 10

The solution is the point at which the line for both equations intersect on the graph as shown in the image attached below, which is: (20, 95).

This means Mary must attend 20 classes for each membership plan, she must attend 20 classes to pay the same total amount of $95 per month.

Learn more about linear equations on:

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Answer:

28.65

hope this helps!

Answer:

pi

Step-by-step explanation:

First solve the integral

[tex]\int\ {(1+ cos x} )\, dx[/tex]

[tex]\int\ {1} \, dx +\int\ {cos x} \, dx[/tex]

[tex]\int\ {1} \, dx = x[/tex] and [tex]\int\ {cos x} \, dx = sin x[/tex]

x + sin x

Now consider the limit from 0 to π

[tex]\lim_{0 \to \\pi } (x+sin x)[/tex]

(π +sin π) -(0 +sin 0)

sin π = 0 and sin 0 = 0

π-0

π

Answer:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi[/tex]

Remember your antiderivatives!

The exterior angle and x form a straight line which need to equal 180.

x = 180-70 - 110

Answer: x = 110

For the given triangle the required measure of angle is 110°.

Use the concept of a triangle defined as:

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

Since we know  that,

The angle of a line is 180 degrees.

Therefore, for the given triangle,

x° + 70° = 180°

Subtract 70° on both sides,

x°  = 110°

Hence,

The measure of x° is 110°.

To learn more about the triangle visit;

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Answer:

=> e is greater than Or equal to 13

Answer:

Hey I don't know if this helps but I your trying to see if the equality is true of false it would be false

Step-by-step explanation:

If 5x - 8 = 12 , then x = 4

5x - 8 = 12

5x = 12 + 8

5x = 20

x = 20/5

x = 4

If -2(3x + 5) = -17 + x , then x = 1

-2(3x + 5) = -17 + x

-6x - 10 = -17 + x

x + 6x = 17 - 10

7x = 7

x = 7/7

x = 1