If there are 20 cookies and 40 carrot each number are the same number of one whole cookies how many cost members might have been at the party,explain

Angle d is exterior angle . and an exterior angle is equal to addition of two interior angles .

What is the formula for the exterior angle theorem?

In this figure,

       Angle d is exterior angle . and an exterior angle is equal to addition of two interior angles .

So, According to  Exterior Angle Theorem,

                        ∠D = ∠A + ∠B

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Answer:

See explanation below.

Step-by-step explanation:

There is a theorem about the sum of the measures of the angles of a triangle.

In this case, with the interior angle measures called a, b, and c, the theorem states:

Theorem:

The sum of the measures of the interior angles of a triangle is 180°.

a + b + c = 180°

Now we will prove the theorem and answer why a + b = d.

Look at angles c and d. They form a linear pair. Angles that form a linear pair are supplementary angles. By the definition of supplementary angles, the sum of the measures of angles c and d is 180°.

We have

c + d = 180°              Eq. 1

By the theorem above, we have

a + b + c = 180°        Eq. 2

Let's subtract Eq. 1 from Eq. 2:

    a + b + c       = 180°

 -              c + d = 180°

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

   a + b        - d = 0

a + b - d = 0

Add d to both sides.

a + b = d

That is a proof of the Exterior Angle Theorem.

The volume of a cylinder is given by the following formula:

Where r is the radius and h is the height of the cylinder.

By replacing 8 for r and 6 for h into the above formula, we get:

Then, the volume of the cylinder equals 1205.76 units³

"When creating a graph, it is important to assign the x and y axis."

Assigning the x and y axes is crucial when making a graph because the x-axis is referred to as the line on a Cartesian coordinate system that runs horizontally. A point or line's separation from the y-axis can be determined using the x-axis. The y-axis displays a point's location on a Cartesian plane in the y (vertical) direction. Additionally, it serves as the origin (zero) point for calculating how far a point is from the x-axis.

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Two parallel lines, known as axes (pronounced AX-eez), that are perpendicular to each other make up a coordinate grid. Typically, the term "x-axis" refers to the horizontal axis. The y-axis is the common name for the vertical axis. The origin is the location where the x- and y-axes intersect.

"When creating a graph, it is important to assign the x and y axis."

Because the x-axis is referred to as the line on a Cartesian coordinate system that runs horizontally, determining the x and y axes is essential when creating a graph. The x-axis can be used to calculate a point or line's distance from the y-axis. A point's position on a Cartesian plane is shown on the y-axis in the y (vertical) direction. It also acts as the origin (zero) point for determining a point's distance from the x-axis.

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The probability of getting a green of a yellow marble can be determined like this:

Probability = (yellow marbles + green marbles) / total number of marbles

Probability = (1 + 4) / 10

Probability = 5 / 10

Probability = 1/2

By multiplying the given probability by the number of times a marble will be drawn, we get how many times we can predict that a green or a yellow marble will be picked, then we get:

Number of predictions = 150 × 1/2

Number of predictions = 75

Then, the answer is 75 times

Answer:

75 times.

Step-by-step explanation:

There are a total of 10 marbles in the bag.

Probability a green marble is drawn (in 1 draw) = 4/10 = 2/5.

In 150 draws you can expect to draw 150* 2/5 = 60 green marbles.

Probability a yellow marble is drawn (in 1 draw) = 1/10.

In 150 draws you can expect to draw 150* 1/10 = 15 yellow marbles.

So, the number of times for a green or yellow marble

= 60+15= 75.

Answer:x=

−1/4y+ −3/4

Step-by-step explanation

Based on the graphs and equations given, the simultaneous equations can be solved to give x = 1.5 and y = 5.5.

To solve the simultaneous equation, come up with the values of y using values of x in the given formulas:

For y = 3x + 1: the values of y will be:

When x = 1, then y will be:

= 3(1) + 1

= 4

When x = 2, then y will be:

= 3(2) + 1

= 7

When x = 3, then y will be:

= 3(3) + 1

= 9

For the equation, x + y = 7:

When x = 1, then y will be:

y = 7 - 1

= 6

When x = 2, then y will be:

= 7 - 2

= 5

When x = 3, then y will be:

= 7 - 3

= 4

When these are plotted on a graph, we find that the value of x is 1.5 and the value of y is 5.5. This is the point where the lines intersect.

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The total cost of fencing the garden will be 3x+200 where x is the perimeter of garden that is variable according to the length and breadth of the garden.

Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.

A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Here,

Let x be the perimeter to be fenced.

the cost is 3 rupees per meter.

so the equation will be= 3x+200

The total cost of fencing the garden will be 3x+200, where x is the garden's perimeter and is dependent on the garden's length and width.

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Answer: w<22

1. Group all constants on the right side of the inequality

2. Subtract  from both sides

3. Simplify the arithmetic

4. Simplify the arithmetic

Answer:

w < 22

Step-by-step explanation:

w + 2 < 24

Step 1 : Subtract 2 on both sides.

w + 2 - 2 < 24 - 2

           w < 22

Hence, simplified

The coordinates of point C on AB such that AC is 2/3 the length of AB is (2,0)

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

To find out how long AC is, we must first find the length of AB.

According to Pythagoras’ theorem,

[tex]a^2 + b^2 = c^2[/tex].

Thus [tex]4^2 + 6^2 = c^2[/tex].

[tex]16 + 36 = c^2[/tex].

The square root of this is;

c = √52.

AB is 7.21 units long.

2/3 of 7.21 is 4.8

The coordinate that fits this is (2,0).

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Given:

Evelyn sells beauty supplies. She gets 5% commission for selling beauty products.

Required:

To find the commission she receive if she sells $1,648 worth of beauty products.

Explanation:

The commission she receive if she sells $1,648 worth of beauty products is

Final Answer:

$82.4

After solving the given equation using quadratic formula we gat solutions as 0.83 and 0.169

What is quadratic formula?

Any quadratic problem can be solved using the quadratic formula. The equation is first changed to have the form ax2+bx+c=0, where a, b, and c are coefficients. After that, we enter these coefficients into the following formula: (-b±√(b²-4ac))/(2a).

On simplifying the given equation we get,

(2x-3)²=4x

4x²+9-12x = 4x

4x²-16x+9 = 0

Comparing with ax²+bx+c = 0

a = 4, b = -16, c = 9

Quadratic formula is:

[tex]\frac{-b +- \sqrt{b^2-4ac} }{2a}[/tex]

putting the values from question we get,

[tex]\frac{16 +- \sqrt{16^2-4(4)(9)} }{216}[/tex]

[tex]\frac{16 +- \sqrt{256-144} }{32}[/tex]

[tex]\frac{16 +- \sqrt{112} }{32}[/tex]

[tex]Solution 1 = \frac{ 16+ 10.58 }{32} = 0.83[/tex]

[tex]Solution 2 = \frac{16 - 10.58}{32} = 0.169[/tex]

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Complete question

(2x-3)²=4x solve using quadratic formula

Answer:

positive

Step-by-step explanation:

for a line to be perpendicular to another line, the slope must be reciprocaled and if its positive it becomes negative (vice versa)

y = -1/2x+3 = Line A

y = 2x+3 = PERPENDICULAR to Line A

Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Since line has a slope of -3, equation is y = -3x + c.

Substitute (-3,1) into the equation to find c.

1 = -3(-3) + c

c = -8

Hence, equation of line is y = -3x - 8.

16 bit strings of length five either start with two zeros or end with two zeros are there; 32 bit strings of length six either do not start with two zeros or do not end with two zeros are there; 16 bit strings of length seven either start with four ones or end with four ones are there and 256

bit strings of length eight do not start with a one or do not end with a one are there.

A string is a combination which is made up of only two characters, either 1 or 0.

So, the combinations of the string can be found,

If the length of the bit string is 5, it means it will have 5 characters.

If this string either start with two zeroes or end with two zeroes. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2)

= 16

16 such bit strings are possible.

If the length of the bit string is 6, it means it will have 6 characters.

If this string either do not start with two zeroes or do not end with two zeroes. It mean there are only four positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2×2)

= 32

So, 32 such strings are possible.

Now, If the length of the bit string is 7, it means it will have 7 characters.

If this string either start with four ones or end with four ones. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×1×1×2×2×2)

= 16

So, 16 such strings are possible.

If the length of the bit string is 8, it means it will have 8 characters.

If this string either do not start with one and do not end with one. It mean there are only seven positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×2×2×2×2×2×2×2)

= 256

So, 256 such strings are possible.

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Answer:

Step-by-step explanation:

Find the number that makes the ratio equivalent to 3:5

6:10

9:15

12:20

The two triangles are not similar to each other.

The perimeter of the triangle is the sum of the lengths of all its sides.

The angle of triangle = 62

The two equal angles = [4(x +2)] and (5x - 7)

According to the question,

The Perimeter of triangle are;

[4(x +2)] + (5x - 7) + 62 = 180

4x + 8 + 5x - 7 + 62 = 180

9x + 63 = 180

9x = 117

x = 13

The other triangle is

6x + 62 + 6x + 6 = 180

12x + 68 = 180

12x = 112

x = 9.33

Hence, the two triangles are not similar to each other.

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The unit price in dollars per ounce is 0.5 dollars per ounce.

According to the question,

We have the following information:

Debra makes 26.40 dollars from selling 52.8 ounces of lemonade.

Now, to convert this into dollars per ounce, we will divide the total amount by the number of ounces of lemonade:

Dollars per ounce = 26.40/52.8

Dollars per ounce of lemonade = 0.5

Now, we can also convert this into cent.

We know that 100 cent make 1 dollar.

So, 0.5 cents will make (0.5*100) cents or in other words, 50 cents.

Now, it will be 50 cents per ounce.

Hence, the units price of lemonade in dollar per ounce is 0.5.

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Answer:

(-13, - 6)

Step-by-step explanation:

Midpoint =(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,-6) = (9+x)/2, (1+y)/2

9+x= - 4

X= - 13

1+y= - 6

Y= - 7

Ans=

(-13, - 6)

Perimeter = side 1 + side 2 ´+ side 3.

Triangle 1

Perimeter = 6 + 8 + 10

= 24

Triangle 2

Perimeter = 9 + 12 + 15

= 36

Ratio

24/36 = 2/3

The ratio of the perimeters is also 2/3

Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

The sampling distribution of the sample mean approaches a Normal Distribution when the sample size becomes larger.

According to the central limit theorem for samples, if we keep drawing larger .And larger samples and calculating their means, then the sample forms its . Own normal distribution (the sampling distribution). The mean of normal distribution has the same the original distribution and a variance that is equal to the original variance divided by the sample size. The variable p is the number of values whose average is taken together ,and not the number of times we do the experiments.

Thus, for a large random sample, the sample does not resemble the regular curve but for a large random sample it will closely resemble the normal curve.

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Solution:

Let the score for the seventh test be represented below as

The mean score t be attained after the sevent tests is

The scores from the 6 tests are given below as

To figure out the seventh score, we will do the calculation below

Hence,

The final asnwer is

Answer:

Step-by-step explanation:

round up

√3 = √4

70-√4= 70-2

=68

Answer:

  x = 10°

Step-by-step explanation:

Given the figure with angles 2x, 4x, 5x, and 50° marked, you want to find the value of x.

∠HAC = ∠HCA . . . . base angles of isosceles triangle HAC

2(∠HAC) = 4x . . . . . exterior angle 4x is equal to the sum of the equal remote interior angles HAC and HCA

∠HAC = 2x . . . . . . . divide by 2

∠AED = 180° -2x -2x = 180° -4x . . . . sum of angles in ∆AED is 180°

∠AHC = 180° -4x . . . . angles at H are a linear pair

HC ║ ED . . . . converse of corresponding angles theorem

∠FEG = ∠FCH = 50° . . . . . corresponding angles theorem

5x = 50° . . . . . substitute value of ∠FEG

x = 10° . . . . . divide by 5

Using this value for the marked angles, we get the measures shown in the attachment.

Step-by-step explanation:

x + 3y = 1

x = 1 - 3y-(i)

7x + 8y = 11

x= 11-8y/7-(ii)

substituting eqn (i) in eqn (ii)

11-8y/7= 1-3y

11-8y=7-21y

13y=-4

y=-4/13

putting the value of y in eqn (i)

x=1-(-12/13)

x=25/13

The value of a in the equation (3x869)+(19x528)+428(3)(1049)=a is 1359555

From the question, the equation to evaluate is given as

(3x869)+(19x528)+428(3)(1049)=a

Rewrite the above equation to make it legible

So, we have the following equation

(3 x 869) + (19 x 528) + 428(3)(1049) = a

Evaluate the products in the expression

So, we have the following equation

2607 + (19 x 528) + 428(3)(1049) = a

Evaluate the other products in the expression

So, we have

2607 + 10032 + 428(3)(1049) = a

Remove the brackets in the equation

So, we have the following equation

2607 + 10032 + 1346916 = a

Evaluate the sum

1359555 = a

Rewrite as

a = 1359555

Hence, the solution to the equation is 1359555

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The most appropriate choice for function will be given by -

g(x) = -|x| is the correct function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

f(x) = |x| is the given function.

f(x) has been transformed to g(x) according to  the graph given in the figure

In the figure, the range is negative real number.

So the transformation g(x) = - |x|

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