A side of the triangle below has been extended to form an exterior angle of 74°. Find the value of xx.

Answer:

x=-38

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)−2(2x+3)=14

(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)

3x+−18+−4x+−6=14

(3x+−4x)+(−18+−6)=14(Combine Like Terms)

−x+−24=14

−x−24=14

Step 2: Add 24 to both sides.

−x−24+24=14+24

−x=38

Step 3: Divide both sides by -1.

−x

−1

=

38

−1

x=−38

yes! six identical triangles can be formed by drawing two straight lines through an octagon's center point.

What is octagon ?

An eight-sided, two-dimensional geometric figure is called an octagon. There are 8 inner angles and 8 outside angles in an octagon. An octagon has a total of 1080° for its interior angles and 360° for its outside angles. In an octagon, there are 20 diagonals. According to their sides and angles, octagons are divided into many varieties.

By passing two straight lines through the center of an octagon, it is possible to create six identical triangles. The following sequence of numbers: 2, 6, 14, 30, 64, is the logical one after that.

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89% of pebbles weigh more than 2.1 grams.

What is a percentage?

Given,

         Mean = 2.6

           SD = 0.4

As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first.

             \(z = \frac{x- mean}{SD}\)

             \(z = \frac{2.1 - 2.6}{0.4}\)

             \(z = -1.25\)

Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1

So,

   \(P ( x < 1.25 ) = 0.10565\)

This gives us the probability of P(z<-1.25) or P(x<2.1)

To find the probability of pebbles weighing more than 2.1

\(P ( x > 2.1 ) = 1 - P( x < 2.1 ) = 1 - 0.10565 = 0.89435\)

Converting into percentage

0.89435 × 100 = 89.435 %

Rounding off to nearest percent   =89%

Therefore, 89% of pebbles weigh more than 2.1 grams.

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Answer:

5.41 m

Step-by-step explanation:

First, let's find a side length by taking the square root of the area.

117/64 ^ 1/2 = 1.352...

Next, we need to multiply by 4.

1.352... x 4 = 5.408...

= approximately 5.41

Answer:

122

Step-by-step explanation:

Use the formula P=2(l+W)

the length would be 65ft and the perimeter would be 374

This is because

This is found through trial and error.

This is for problem 1 only. Problems 2 through 6 will follow a similar structure.

Answer:2x10^{-4} = 0.0002

Step-by-step explanation:

2x10^{-4} is a mathematical notation used to represent the number 2 multiplied by 10 raised to the power of -4. In standard decimal notation, this number is equal to:

2 × 0.0001 = 0.0002

So, 2x10^{-4} is equal to 0.0002.

Answer:

x=18

Step-by-step explanation:

ok, so you mulityply base and hieght then divide by 2

your base is 6 and your height is 6

6x6=36

36/2=18

your welcome

Answer:

Step-by-step explanation:

it is always greater than its opposite

The fabric that will be there for each bandana is 1/12 yards.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, the teacher is cutting 1/2 yard of fabric into 6 bandanas of the same size. The size for each will be:

= 1/2 ÷ 6

= 1/2 × 16

= 1/12 yards.

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Answer:

-------------------------------------

Ratios of corresponding sides are equal.

Answer:

The answer is x = 82, gimme brainliest answer

Answer:

11. screenshot attached

12.screenshot attached

13. C

14. B

15. D

16. A

Step-by-step explanation:

Answer:

I’m not sure about 11 or 12 but here is the rest

13. C, 14. B, 15. D, 16. A

Step-by-step explanation:

When a vertical plane cuts through the base and two opposite lateral faces of a solid, the resulting cross-sectional shape is a rectangle.

A rectangle is a four-sided polygon with opposite sides that are equal in length and all interior angles measuring 90 degrees.

In this case, the base of the solid determines the length of the rectangle, while the height is determined by the distance between the two opposite lateral faces.

The rectangle is characterized by its straight sides and right angles, making it a familiar and commonly encountered shape in geometry.

It has properties such as equal opposite sides and diagonals that bisect each other.

The specific dimensions of the rectangle's length and height will depend on the size and orientation of the solid being cut by the vertical plane.

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Answer:

B

Step-by-step explanation:

Just put B

Hello !

Answer:

\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Step-by-step explanation:

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)

Where r is the radius of its base and h is its height.

Given:

Let's substitute our values into the formula:

\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Have a nice day ;)

Answer: 150+30n ≤ p

Step-by-step explanation:

150 is your starting amount, and you add 30 lbs of how many ever boxes (n) onto your plane. So far, you have 150 + 30n. Because there is a limit of p amount that you can't exceed, you need a less than or equal to sign because it can be p amount but not over p amount. So your answer is 150 +30n ≤ p

Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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Answer:

third one

Step-by-step explanation:

Answer:

Answer:81

Step bye step

Answer:

Its 67.9 but technically its 67.912 *hope this helps

Step-by-step explanation:

Right scalene triangle.

Sides: a = 66   b = 16   c = 67.912

Area: T = 528

Perimeter: p = 149.912

Semiperimeter: s = 74.956

Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad

Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad

Angle ∠ C = γ = 90° = 1.571 rad

Height: ha = 16

Height: hb = 66

Height: hc = 15.55

Median: ma = 36.674

Median: mb = 66.483

Median: mc = 33.956

Inradius: r = 7.044

Circumradius: R = 33.956

Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]

Centroid: CG[44.018; 5.183]

Coordinates of the circumscribed circle: U[33.956; 0]

Coordinates of the inscribed circle: I[58.956; 7.044]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad

∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad

∠ C' = γ' = 90° = 1.571 rad

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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Answer:

i think its 12 hours

Step-by-step explanation:

use calculator

Answer:

try 7

Step-by-step explanation:

Answer:

this is tricky b/c they are making the two triangles of different scales but of the same angles.... soooo  one is just a bigger copy of the other....

Step-by-step explanation:

Since this is a relation of the two side of each.. we can say the following...

\(\frac{6}{9}\) = \(\frac{4}{x}\)     where X = side  LA    soooo       solve for X  

 x *  \(\frac{6}{9}\) = 4   (move the X , to the other side of the '=' sign

x = 4 * \(\frac{9}{6}\)   ( yes.. we want to invert the fraction to move it to the other side )

x = \(\frac{36}{6}\)

x = 6

so side LA is 6    :)

3x - 6y = -2

-6y = -3x - 2, divide through by -1

6y = 3x + 2, divide through by 6

y = 3x/6 + 2/6

y = x/2 + 1/3

Answer:

y = 1/2x - 1/3

Step-by-step explanation:

subtract 3x from each side first to get:

-6y = -3x - 2

divide each side by -6 to get:

y = 3/6x - 2/6

simplify:

y = 1/2x + 1/3

Answer:

The total cost is $4.45

Step-by-step explanation:

I just added them

Step-by-step explanation:

let a= cost of sandwich=2.95dollars

b=cost of apple= 0.45dollars

c= cost of juice= 1.05 dollars

then t= total cost is calulated as:

t=a+b+c

t=2.95+0.45+1.05

t=4.45

Answer:

1. y= 3x-6

2. y= 1/2x-2

Step-by-step explanation:

Rise over run

Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, In the graph,

we can see that we have a vertical asymptote at x = -1.

Hence, This means that the denominator of the rational equation becomes zero when x = -1.

So the equation must be:

⇒ y = 1 / (x + 1)

Here, The denominator is x + 1, and as expected, it becomes zero when, x = -1.

Then, we conclude that the correct option is C.

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Answer:

the pic is not clear in my system

True. If v is an eigenvector corresponding to the eigenvalue λ, then multiplying v by a scalar c, denoted as cv, will also be an eigenvector corresponding to the same eigenvalue λ.

An eigenvector represents a direction in a vector space that remains unchanged, except for scaling, when multiplied by a specific matrix. The corresponding eigenvalue determines the magnitude of the scaling. When we multiply an eigenvector v by a scalar c, the direction of the vector remains the same, and the resulting vector cv is scaled by the same factor c.

Mathematically, if Av = λv, where A is a matrix, λ is an eigenvalue, and v is the corresponding eigenvector, then it follows that A(cv) = cAv = cλv = λ(cv). This equation shows that multiplying an eigenvector v by a scalar c preserves its status as an eigenvector, corresponding to the same eigenvalue λ.

In summary, if v is an eigenvector corresponding to λ, then multiplying it by a scalar c still results in an eigenvector corresponding to the same eigenvalue λ.

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