The angle between 0° and 360° that is coterminal with the 664° angle is
degrees.

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

(0, -6) is the y-intercept.

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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If the parabola opens up, the vertex represents the lowest point on the graph or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph or the maximum value. In either case, the vertex is a turning point on the graph.

The coordinate of the vertex is given as

In this case, the values of the vertex will be

Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.

The values are also known as the x- value of the vertex that is

Hence,

Vertex =(1,-4)

axis of symmetry x=1

The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.

To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).

1 milligram = 1, 000 micrograms ( μg )

25. 0 μg in milligrams is therefore:

= 25 / 1, 000

= 0. 025 mg

This means that the number of tablet to take is:

= Mg requirement / Mg of tablet

= 0. 025 / 0. 025

= 1 tablet

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All statements can be proven by indirect proof. If the assumptions of the statement are false, the resulting contradiction proves that the initial assumption is wrong and the statement is true.

1. To prove this statement by indirect proof, assume that n – m is an even number but n^2 – m^2 is an odd number. Since n – m is even, it can be written as n – m = 2k, where k is an integer. This can be substituted into n^2 – m^2 = n^2 – (2k+m)^2 to create n^2 – m^2 = n^2 – 4km – m^2. Since both n and m are integers, 4km is an even number. This means that n^2 – m^2 is an even number, contradicting our assumption that it is an odd number. Therefore, our initial assumption is wrong, and n^2 – m^2 must be an even number if n – m is even.

2. To prove this statement by indirect proof, assume that x is an odd positive integer but x^2 – 1 is not divisible by 4. Since x is an odd positive integer, it can be written as x = 2k + 1, where k is an integer. This can be substituted into x^2 – 1 = (2k + 1)^2 – 1 to create x^2 – 1 = 4k^2 + 4k. Since both k and 4 are integers, 4k^2 is an even number. This means that x^2 – 1 is divisible by 4, contradicting our assumption that it is not divisible by 4. Therefore, our initial assumption is wrong, and x^2 – 1 must be divisible by 4 if x is an odd positive integer.

3. To prove this statement by indirect proof, assume that x is an odd integer but 8 is not a factor of x^2 – 1. Since x is an odd integer, it can be written as x = 2k + 1, where k is an integer. This can be substituted into x^2 – 1 = (2k + 1)^2 – 1 to create x^2 – 1 = 4k^2 + 4k. Since 8 is a factor of 4k^2, it is also a factor of x^2 – 1. This means that 8 is a factor of x^2 – 1, contradicting our assumption that it is not a factor of x^2 – 1. Therefore, our initial assumption is wrong, and 8 must be a factor of x^2 – 1 if x is an odd integer.

4. To prove this statement by indirect proof, assume that x is an even integer but xy is an odd number. Since x is an even integer, it can be written as x = 2k, where k is an integer. This can be substituted into xy = (2k)y to create xy = 2ky. Since both k and y are integers, 2ky is an even number. This means that xy is an even number, contradicting our assumption that it is an odd number. Therefore, our initial assumption is wrong, and xy must be an even number if x is an even integer.

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After solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.

Equation: A statement stating the equality of two expressions containing variables or numerical values.

Equation: A formula that uses the equals sign to combine two expressions and declare their equality.

In essence, equations are questions, and the methodical pursuit of solutions to these questions has served as the driving force behind the creation of mathematics.

Sean mass = x

Lan mass = x - 2.5

Then, form the equation and solve it as follows:

x + (x - 2.5) = 121.5

x + x - 2.5 = 121.5

2x - 2.5 = 121.5

2x = 121.5 + 2.5

2x = 124

x = 124/2

x = 62

Then, x - 2.5 = 59.5.

Therefore, after solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.

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Answer:

A

Step-by-step explanation:

just try to get a chance to

Step-by-step explanation:

This assembly required more than 40 missions. A partnership between European countries (represented by ESA), the United States (NASA), Japan (JAXA), Canada (CSA) and Russia (Roscosmos), the International Space Station is the world's largest international cooperative programme in science and technology.

Answer:

the answer is option D csa nasa esa and roscosmos

Volume of the solid generated by revolving the plane region about the y-axis is \(\frac{6561 \pi}{7}\) .

Given, that y = x3/2, y = 27, x = 0

So, the volume of the solid generated by revolving the region about y axis will be,

\(V=\int_0^92\pi(x)(27-y)dx\)

\(V=\int_0^92\pi x(27-x^{\frac{3}{2}})dx\)

\(V=\left [ 27{\pi}x^2-\frac{4{\pi}x^\frac{7}{2}}{7} \right ]_0^9\)

\(V=\left [ \frac{{\pi}\left(189x^2-4x^\frac{7}{2}\right)}{7} \right ]_0^9\)

\(V=\frac{6561 \pi}{7}\)

The image of the region bounded by plane is attached below.

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The volume of the solid generated by revolving the plane region about the y-axis is approximately 6863.01 cubic units.

To use the shell method to find the volume of the solid generated by revolving the plane region about the y-axis, we need to express the limits of integration and the height of the infinitesimally thin cylindrical shells.

Given the equations:

y = x^(3/2)

y = 27

x = 0

To determine the limits of integration, we need to find the intersection points between the two curves: y = x^(3/2) and y = 27.

Setting the equations equal to each other:

x^(3/2) = 27

Taking the square root of both sides:

x = 27^(2/3)

x = 9

Therefore, the limits of integration are x = 0 and x = 9.

Now, let's consider an infinitesimally thin cylindrical shell with height "h" and radius "r" at some x value between 0 and 9.

The height of the shell, "h", is the difference between the y-values of the two curves:

h = 27 - x^(3/2)

The radius of the shell, "r", is the x-value.

The volume of the shell can be expressed as:

dV = 2πrh dx

To find the total volume, we integrate this expression from x = 0 to x = 9:

V = ∫[0, 9] 2π(27 - x^(3/2))x dx

Now, let's evaluate this integral:

V = 2π ∫[0, 9] (27x - x^(5/2)) dx

Integrating term by term:

V = 2π [(27/2)x^2 - (2/7)x^(7/2)] evaluated from 0 to 9

Plugging in the limits of integration:

V = 2π [(27/2)(9)^2 - (2/7)(9)^(7/2)] - 2π [(27/2)(0)^2 - (2/7)(0)^(7/2)]

Simplifying and evaluating the expression:

V = 2π [(27/2)(81) - (2/7)(3√(9))] - 0

V = 2π [1093.357] ≈ 6863.01 cubic units

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In the given equation we get the following values:

M = 2

C = 5

Given, we have the equation:

Y = 2x + 5

we are asked to determine the following values of m and c.

The given equation is in the form of slope intercept form.

slope intercept form is given as:

y = mx+c

hence :

M = 2 and

C = 5

One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).

The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. This relationship will be the equation of a straight line:

hence we get the required values.

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Answer:

I got B and C.

Step-by-step explanation:

When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.

Answer: $400

Step-by-step explanation:

Discount = 15%

The original price/value of an item is always 100%

So selling price (%) = original price - discount = 100%-15% = 85%

We got selling price as 85%

This implies that 85% = 340

Let's find 1% first, then 100%

1% = 340÷85 = 4

100% = 4 × 100 = $400

The usual (normal/original) price is $400

Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.

percentage, a relative value indicating hundredth parts of any quantity.

Let's represent the usual price of the bicycle by P.

Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).

We can express this relationship as an equation:

S = 0.85P

We also know that the selling price of the bicycle was $340.

Substituting S = $340 into the equation above, we get:

$340 = 0.85P

To find P, we can solve for it:

P = $340 / 0.85

P = $400

Therefore, the usual price of the bicycle was $400.

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By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

a = 4

b = 5

c =6

Step-by-step explanation:

i hope it helps

the answers are absolutely correct

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer:

False 1 ton is 2000 lb

Step-by-step explanation:

Answer:

36 = 1

612 =?

(612×1)

----------

36

=17

Answer:

a) y = -2x + 3

b) y = -3x + 7

c) y = -1/2x + 4

d) y = 2

Step-by-step explanation:

Gradient is also known as slope

a) y = mx + b

3 = (-2)0 + b

b = 3

y = -2x + 3

b) y = mx + b

1 = (-3)(2) + b

1 = -6 + b

b = 7

y = -3x + 7

c) Slope m = (y2 - y1)/(x2 - x1)

m = (2 - 3)/(4 - 2) = -1/2

y = mx + b

3 = -1/2(2) + b

3 = -1 + b

b = 4

y = -1/2x + 4

d) The x‐axis or any line parallel to the x‐axis has a slope of 0.

y = mx + b

2 = -3(0) + b

b = 2

y = 2

Answer:

a) The equation of this line is y = -2x + 3

b) The equation of this line is y = -3x + 7

c) The equation of this line is y = -1/2x + 4 or y = -0.5x + 4

d) The equation of this line is y = 2

Step-by-step explanation:

The equation of a line can be written in the form y = mx + c, where m is the gradient and c is the y-intercept.

a) The equation of the line with a gradient of -2 and cutting the y-axis at 3 can be found using the point-slope form of a linear equation. The point-slope form is given by y - y1 = m(x - x1), where m is the gradient and (x1, y1) is a point on the line. Substituting m = -2 and (x1, y1) = (0, 3), we get:

y - 3 = -2(x - 0)

Simplifying the right-hand side gives:

y - 3 = -2x

Adding 3 to both sides gives the final equation:

y = -2x + 3

b) The equation of the line with a gradient of -3 and passing through the point (2, 1) can be found using the point-slope form again. Substituting m = -3 and (x1, y1) = (2, 1), we get:

y - 1 = -3(x - 2)

Simplifying the right-hand side gives:

y - 1 = -3x + 6

Adding 1 to both sides gives the final equation:

y = -3x + 7

c) To find the equation of the line passing through the points (2, 3) and (4, 2), we first need to find its gradient. The gradient is given by:

m = (y2 - y1)/(x2 - x1)

Substituting the coordinates of the two points, we get:

m = (2 - 3)/(4 - 2) = -1/2 or -0.5

Now, we can use the point-slope form again, this time with (x1, y1) = (2, 3) and m = -1/2:

y - 3 = (-1/2)(x - 2)

Simplifying the right-hand side gives:

y - 3 = (-1/2)x + 1

Adding 3 to both sides gives the final equation:

y = (-1/2)x + 4 or y = -0.5x + 4

d)The line is parallel to the x-axis and passes through the point (-3 ; 2). A line parallel to the x-axis has a gradient of 0. The general equation of a line is y = mx + c, where m is the gradient and c is the y-intercept. Since the gradient is 0, the equation becomes y = c. Since the line passes through the point (-3 ; 2), we can substitute y = 2 into the equation to find that c = 2. Therefore, the equation of this line is y = 2.

Answer

about 15

Step-by-step explanation:

Answer:

Ok, the first step is to count all the possible selections that we have and the number of options in each selection:

1) Sandwich: 2 options, ham or turkey.

2) Soup, 2 options, tomato or vegetable.

3) Drink, 2 options, coffee or milk.

(i assume that the sandwich and the soup are separated selections)

Now, if the customer chooses at random, the probability that in one given selection he selects a given outcome is equal to the number of options that match the outcome divided by the total number of options for that selection.

Then in the soup selection we have: options that match the outcome (one, is the vegetable soup). Total number of options = 2.

Then the probability is:

P = 1/2 = 0.5

or 0.5*100% = 50% in percentage form.

Answer:

1/2

Step-by-step explanation:

Answer:

15 Poses

Step-by-step explanation:

SInce he can teach 30 poses in 60 minutes and if the class time is cut by half then the poses are cut by half. Look below.

Minutes : 60/2 = 30 minutes

Poses : 30/2 = 15 poses

Answer:

30 m

Step-by-step explanation:

Answer:

it is exactly 80m it is not 30m

Answer: 126

Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]