Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

The total cost of 190 bon-bon chocolate to the nearest cent would be $30.49.

Multiplication is the process of determining the product of two or more numbers using a specialised mathematical operation. The sign that denotes multiplication is x.

Total cost = cost per gram x mass x number of bon bon

Mass = density x volume

1.28 x (4/3 x 3.14 x 1.1³) =5.35

Cost = 5.35 x 0.03 x 190 = $30.49

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[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] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]

The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

For this case, it is specified that y varies directly as x.

That means

[tex]y \propto x\\or\\y = kx[/tex]

At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:

[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]

Thus, the relationship between x and y is: y = 54x

Now, when y = 1080, we get:

[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]

Thus, the value of x when y = 1080 for this condition is when x = 20.

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#SPJ4

[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + ( - 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x + ( - 12)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x - 12[/tex]

Answer:

20units^2

Step-by-step explanation:

Answer:

20units^2

Step-by-step explanation:

Step-by-step explanation:

2 m corresponds to 0.4 cm on a blueprint.

so,

2 m / 0.4 cm = 200 cm / 0.4 cm

our fun the point of view of the blueprint

0.4 cm / 200 cm

the scale on a map or blueprint is usually normed to one unit on the blueprint :

0.4/200 × f/f = 1/(200×f)

0.4 × f = 1

f = 1/0.4 = 2.5

so, our scale is

(0.4 × 2.5) / (200 × 2.5) = 1 / 500

that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.

Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.

Your information is incomplete. Therefore, an overview will be given.  An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.

The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.

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Answer: The answer is two

Step-by-step explanation:

[tex]3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}[/tex]

Answer:

24

Step-by-step explanation:

I did this question before.

Answer:

(3,-3) (5,-3) (3,-6)

Step-by-step explanation:

I hope this helps!!

Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Vertical angles are congruent to each other . Vertical angles share the same vertex.

Therefore, angle A and angle B are congruent because they are vertical angle pair.

Therefore,

∠A≅∠B

let

∠B = x

Therefore,

∠A = 2x - 6

Therefore,

x = 2x - 6

x - 2x = - 6

-x = - 6

x = 6

The measure of each angle is 6 degrees.

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Answer:

y = [tex]4^{10}[/tex]

or

y = 1048576

Step-by-step explanation:

Function:

y = [tex]q^{x}[/tex]

Given values:

q = 4

x = 10

Substitute the given values into the function:

y = [tex]4^{10}[/tex]

or

y = 1048576

hope this helps and is right!! p.s. i really need brainliest :)

Explanation:

Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)

Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule [tex](x,y) \to (x+9, y)[/tex]. We've added 9 to the x coordinate, and the y coordinate stays the same.

This notation can be shortened to <9, 0>

In general, the notation [tex](x,y) \to (x+a, y+b)[/tex] is shortened to the translation vector notation [tex]< a, b >[/tex]. In this case, a = 9 and b = 0.

Answer:

6

Step-by-step explanation:

6 x 6 = 36

6 x 12 = 72

6 x 15 = 90

Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]

I am joyous to assist you at any time.

[tex] \huge \underline\text{ Hello There}[/tex]

[tex] \text{We know, Pythagoras Theorem}[/tex]

[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]

[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]

[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]

[tex] \huge \underline\text \red {Solution}[/tex]

[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]

[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]

[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]

The percentage of trench coats sold increased by 23. 3%. therefore, option D is correct.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

First, we need to subtract the final from the initial, then divide the difference by the initial, then multiply your answer by 100 to get the percentage

the final is 127, and the initial is 103

127 - 103 = 24

24/103 = 0.233

0.233 x 100

= 23.3%

Thus, The percentage of trench coats sold increased by 23. 3%.

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Answer:

∠ 5

Step-by-step explanation:

Given;

Which angle number represents ∠ WYU

picture

Solve;

First, we have to find the letters WYU in the picture.

Knowing that, WY is an edge, YU is an edge.

And these two sides intersect at Y.

So you get ∠ WYU. As shown in the figure in the picture, 5 represents

∠ WYU

~Learn with Lenvy~

Step-by-step explanation:

Ans of 8

x + 3x + 2x = 180 (sum of all angle of triangle is 180)

6x = 180

x = 60

Ans of 9

(2x-2)+(x+5)+90 = 180

3x+3+90 = 180

3x + 93 = 180

3x = 180-93

x = 87/3

x = 29

Answer:I think that each friend would get 1.5/ 1  1/2.

Step-by-step explanation:

3 divided by 2 equals 1.5

Let the amount of money Kim has be k then,

ATQ,

The amount of money Melanie has

The amount of money Rachel has

Given that,

Kim has $20,

so,

The amount of money Melanie has

The amount of money Rachel has

Answer:

D

Step-by-step explanation:

down 110 ft over time 10 min
time can't be negative

sum of interior angle =n-2(180)

n is the number angles

5-2(180)

3(180)

=540

x=102+116+123+88=429

540-429=111

x=111

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

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Answer:

A. −2x+y=−2

Step-by-step explanation:

Answer:

don't get mad at is i don't get this right

i think it would be D

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

This is because 5π is equal to 15.7