what is the external angle of a polygon where the corresponding interior angle equals 105 degrees

Start by removing 1 and the primes from the set {1, 2, 3, …, 25}. The LCM among these numbers will be their product.

{1, 2, 3, 5, 7, 11, 13, 17, 19, 23}   ==>   product = 223,092,870

Factorize the remaining numbers in the set:

{4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25}   ==>

{2², 2×3, 2³, 3², 2×5, 2²×3, 2×7, 3×5, 2⁴, 2×3², 2²×5, 3×7, 2×11, 2³×3, 5²}

From each number above, remove any factor already accounted for in the product of primes:

{2, 1, 2², 3, 1, 2, 1, 1, 2³, 3, 2, 1, 1, 2², 5}

The LCM among these factors is 2³×3×5 = 120.

Then the LCM of the numbers in {1, 2, 3, …, 25} is

223,092,870 × 120 = 26,771,144,400

so that A = 7, B = 4, and C = 0. Then

100A + 10B + C = 740

value of x should be 3.2 units

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Step-by-step explanation:

a) x=6 (x= 8-2)

b) x=4 ( 4x=21-5=16 -> x=4

c) x=7 (3x=34-13=21 -> x=7)

Simon

C = 4n + 1

Shania

C = 3n + 4 + n -3

C = 4n + 1

Tate

C = (6n + 1) + (-2n)

C = 6n + 1 - 2n

C = 4n + 1

Navdeep

C = 2(2n + 3) -5

C = 4n + 6 - 5

C = 4n + 1

Therefore all of them are equivalent.

Answered by Gauthmath must click thanks and mark brainliest

Answer:

h(x) = ½x + 5

Step-by-step explanation:

From the question given above, the following data were obtained:

Function, f(x) = 2x – 10

Inverse, h(x) =?

The inverse of the function, h(x) can be obtained as follow:

f(x) = 2x – 10

Let f(x) = y

y = 2x – 10

Interchange x and y

x = 2y – 10

Make y the subject by rearranging

x + 10 = 2y

Divide both side by 2

y = (x + 10) / 2

y = ½x + 5

Replace y with h(x)

h(x) = ½x + 5

Thus, the inverse of the function is

h(x) = ½x + 5

Answer:

1,

Step-by-step explanation:

now z also a dk4k ak4 smka 4ml 4 LL

Answer:

One solution: 0x + 0.5y = 0

Step-by-step explanation:

9x + 4y = 36

6x + 2.5y = 24

2 * Eq. 1

18x + 8y = 72

-3 * Eq. 2

-18x - 7.5y = -72

Add the multiples of the equations.

0x + 0.5y = 0

Answer: One solution: 0x + 0.5y = 0

The linear combination that reveals the number of solutions to the system is as follows:

One solution: 0x + 0.5y = 0

The system of linear equation is as follows:

9x + 4y = 36

6x + 2.5y = 24

He multiplied the first equation by 2 and the second equation by –3. Therefore,

18x + 8y = 72

-18x - 7.5y = -72

Therefore, let's add the equation

0x + 0.5y = 0

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Answer:

Its not nonlinear

Step-by-step explanation:

Answer:

no, it is a linear function as y has a degree of 1

Answer:

b and c

Step-by-step explanation:

Given

x² - 4x = - 5

Solve by using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 2)x + 4 = - 5 + 4

(x - 2)² = - 1 ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )

x = 2 ± i

Then solutions are

x = 2 - i → b

x = 2 + i → c

Part (i)

We have 60 students total, and 5 didn't like any of the two subjects, so that must mean 60-5 = 55 students liked at least one subject.

=========================================================

Part (ii)

We have 15 who like math only, 20 who like science only, and 55 who like either (or both). Let x be the number of people who like both classes.

We can then say

15+20+x = 55

x+35 = 55

x = 55-35

x = 20

This means 20 people liked both subjects

=========================================================

Part (iii)

There are 15 people who like math only, and 20 who like both. Therefore, there are 15+20 = 35 people who like math (and some of these people also like science)

=========================================================

Part (iv)

We'll follow the same idea as the previous part. There are 20 people who like science only and 20 who like both subjects. That yields 40 people total who like science (and some of these people also like math).

=========================================================

Part (v)

We'll draw a rectangle to represent the entire group of 60 students. This is considered the universal set. Inside the rectangle will be two overlapping circles to represent math (M) and science (S).

We'll have 15 go in circle M, but outside circle S to represent the 15 people who like math only. Then we have 20 go in circle S but outside circle M to show the 20 people who like science only. We have another copy of 20 go in the overlapped region between the circles. This is the 20 people who like both classes. And finally, we have 5 go outside both circles, but inside the rectangle. These are the 5 people who don't like either subject.

Note how all of the values in the diagram add up to 60

15+20+20+5 = 60

This helps confirm we have the correct values.

Answer:

y - intercept = 2.25

Step-by-step explanation:

y = mx + c

Where,

y = Total cost

x = additional cost

m = slope

c = y - intercept

y = 0.25x + 2.25

Relating with the above equation,

y - intercept = 2.25

Slope, m = 0.25

Answer: 2, acute equilateral

Step-by-step explanation:

the image shows a triangle with all 3 sides congruent and 3 acute angles

Answer:

(3,2)

Step-by-step explanation:

y = 4x – 10

y = 2

Substitute the second equation into the first

2 = 4x-10

Add 10 to each side

2+10 = 4x-10+10

12 = 4x

Divide each side by 4

12/4 =4x/4

3 = x

The solution is

(3,2)

Answer:

(3,2)

Step-by-step explanation:

y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),

y = 4x – 10 2 = 4x – 10

Add both sides by 10 12=4x

Divide both sides by 4 x=3

We have x=3, and y=2. ==> (x,y) = (3,2) 

p = 6/11.

So we have a bag that contains 6 red marbles and 6 green marbles.

Then the total number of marbles that are in that bag is:

6 + 6  = 12

There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.

Now we draw two marbles, we want to find the probability that one is red and the other is green.

The first marble that we draw does not matter, as we just want the second marble to be of the other color.

So, suppose we draw a green one in the first attempt.

Then in the second draw, we need to get a red one.

The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)

Then the probability is:

p = 6/11.

Notice that would be the exact same case if the first marble was red.

Then we can conclude that the probability of getting two marbles of different colors is:

p = 6/11.

Answer:

[tex]7^{7}[/tex]  =  823543

the unit position (the first) is equal to "3"

Step-by-step explanation:

Answer:

b i think

Step-by-step explanation:

Answer: Choice C. 110ft

Step-by-step explanation:

Near a 30,60,90 triangle, multiply by [tex]\sqrt{3}[/tex] to approximate the distance from point B to the tree.

Answer:

82

Step-by-step explanation:

I want to say 82 but i am not positive

Answer:

66.4

Step-by-step explanation:

tan(39)=x/82

x=tan(39)×82

x=66.4 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

4. E=4x-15(vertically opposite)

F=E(corresponding angles)

E=4x-15

5.3x+6x+O=180(angles on a straight line)

9x+0=180

9x=180-0

9x/9=180/9

x=20

Answer:

0.0735 got it right

Step-by-step explanation:

got it right

Answer:

X1=6

X2=7

y1= -1

y2= 3

now,

slope = y2-y1/x2-x1

= 3+1/7-6

=4/1

=1

hence slope= 1

Answer:

[tex]x=12,\\y=6\sqrt{3}[/tex]

Step-by-step explanation:

In all 30-60-90 triangles, the side lengths are in ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle.

Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and [tex]x=6[/tex] in the ratio [tex]x:x\sqrt{3}:2x[/tex].

Thus, we have:

[tex]y=\boxed{6\sqrt{3}},\\x=2\cdot 6=\boxed{12}[/tex]

Let the perimeter be 100cm

Then value of x = 100/4

x = 25cm

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Step-by-step explanation:

The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.

When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.

The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:

y = -0.89x² + 3.24x+11.93

This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.

The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.

Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.

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Answer:

3 a + 4 b

Step-by-step explanation:

Biểu thức đại số biểu thị bạn Cúc mua  3  ly trà sữa và  4  ly kem là:

3 a + 4 b

Answer:

Step-by-step explanation:

17x²y+8y³-4x²

it has no greatest common monomial factor.

Answer:

17x²y+8y³-4x²

Step-by-step explanation:

Answer:

List from least to greatest:-16,-10,-3,5

List from closest to zero to the very far:-3,5,-10,16

Step-by-step explanation:

In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...

340 x 0.03 = 10.2 (in state)

84 x 0.11 = 9.24 (out of state)

10.2 + 9.24 + 11.25

= $30.69 monthly charge

hope it helps :)

The total monthly charge for a customer is given as $30.69.

Simplifying allows us to test each process and strategy to determine which is the most efficient and best suited for its specific goal.

here,

A phone provider costs each customer $11.25 per month. Furthermore, it charges $0.03 per minute for in-state calls and $0.11 for out-of-state calls.

Charge within the boundary  of state for 340 minutes = 340 x 0.03 = 10.2

Charge beyond the boundary  of state for 84 minutes  = 84 x 0.11 = 9.24

Total monthly charge = 10.2 + 9.24 + 11.25

                                = $30.69 monthly charge

Thus, A customer's total monthly price is shown as $30.69.

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Answer:

[tex](x^2+y^2)^3 = 16x^2y^2[/tex]

Step-by-step explanation:

We want to convert the polar equation:

[tex]\displaystyle r = 2 \sin 2\theta[/tex]

To rectangular form.

Recall the double-angle identity for sine:

[tex]\displaystyle \sin 2\theta = 2\sin\theta\cos\theta[/tex]

Hence:

[tex]\displaystyle r = 4\sin\theta\cos\theta[/tex]

Since x = rcosθ and y = rsinθ:

[tex]\displaystyle r = 4\left(\frac{x}{r}\right)\left(\frac{y}{r}\right)[/tex]

Multiply:

[tex]\displaystyle r = \frac{4xy}{r^2}[/tex]

Recall that x² + y² = r². Hence:

[tex]\displaystyle r = \frac{4xy}{x^2 + y^2}[/tex]

By squaring both sides:

[tex]\displaystyle r^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]

Substitute:

[tex]\displaystyle x^2+y^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]

And multiply. Therefore:

[tex](x^2+y^2)^3 = 16x^2y^2[/tex]