Donald graphs the distance he walks over time the graph passed through the points (3, 12) and (4, 16)

The simple reason why streets are usually designed parallel or perpendicular to each other is because that pattern makes it easy for users to connect people easily.

A perpendicular street can simply be defined as a street which intersect another streets. However, on the other end, two streets are said to be parallel to each other when they are in the same distance apart. The same is applicable in mathematics as a perpendicular line intercept another line and parallel lines don't meet.

That being said, when streets are parallel or perpendicularly designed, residents of the environment find it easy to communicate with each other. Business owners use this easy accessibility to easily describe their addresses to customers.

So therefore, it can be deduced from the given explanation above that when streets are designed with good planning, it makes people access it easily.

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With the help of trignometric identities we can say that the answer is = 0.672355, nearly.

acc to our question-

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Answer:

x = 53°

Step-by-step explanation:

Forming the equation,

→ x + (2x + 21°) = 180°

Now the value of x will be,

→ x + (2x + 21°) = 180°

→ 3x = 180° - 21°

→ x = 159°/3

→ [ x = 53° ]

Hence, the value of x is 53°.

Answer: 1/12

Step-by-step explanation: If the candy jar is only 1/4 full, and there's 3 brothers, they would each receive 1/3 of 1/4. THis would be 1/12 of the jar.

In the given figure, w= 27

Verification:

Solution

From SAS

XY=QP and YZ=QR

therefore ∠Y = ∠Q

since the interior angles of the triangle are supplementary

∠Y + ∠X +∠Z = 180

∠Y + 22 + 36 = 180

∠Y = 180 - 58 = 122

therefore, ∠Q is also equal to 122

and (4w+ 14) =122

122 - 14 = 4w

108 = 4w

w = 108/4 = 27

Hence, from the SAS criterion

w is equal to 27

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The slope of the line is Positive

What is the Slope of a line:

The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”

The slope of the line at different positions:  

When we go from left to right on the graph if the line moves up then the slope of the line will be positive  

When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero  

The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined

From the given picture,

We can say that from left to right the given line is moving upwards

Therefore

From the above observation slope of the line is Positive

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The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.

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The value of the least integer is -1/2 or -0.5.

Based on the information given, let the integers be represented as:

x

x + 1

x + 2

x + 3

Since they all add to 4, this will be:

x + x + 1 + x + 2 + x + 3 = 4

4x + 6 = 4

Collect like terms

4x = 4 - 6

4x = -2

Divide

x = -2 / 4

x = - 1/2

Therefore, the least is - 1/2

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The residual of a theatre performance with a revenue of $700 and 70 seats occupied is 45.

From the information illustrated, the theater director recorded the number of seats occupied at past performances and the total revenue per performance.

The equation is given as:

y = -325 + 14x

y = actual performance for 70 seats occupied

For x = 70

y = -325 + 14x

= 325 + 14(70)

= -325 + 980

= 655

Therefore, the residual will be:

= 700 - 655

= 45

The residual is 45.

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The inequality of the graph represented in the figure is y ≥ 1/2x

The graph represents the given parameter

On the graph, we have the following points

(x, y) = (0, 0) and (2, 1)

This can be re-expressed as

(x, y) = (2, 1)

The slope is then calculated as

Slope = y/x

This gives

Slope = 1/2

The equation is then calculated as

y = Slope * x

So, we have

y = 1/2x

On the graph, we can see that the upper part of the graph is shaded and the line is a thick line

This means that the inequality expression is ≥

So, we have

y ≥ 1/2x

Hence, the inequality of the graph is y ≥ 1/2x

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The value of the variables in figure x and y are 14 and 28.5 respectively.

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

We have been given the following parameters;

The two lines a and b are parallel to each other.

Therefore, Angle (5x - 7) and Angle (3x + 17) are the same because of alternate interior angles.

Thus, (5x - 7) =  (3x + 17)

Solving;

(5x - 7) =  (3x + 17)

5x - 3x = 17 + 7

2x = 28

x = 14

Now, we can see that Angle (5x - 7) and Angle (4y + 3) makes linear pairs on line A.

Thus,  (5x - 7) + (4y + 3) = 180

Substitute x = 14

(5(14) - 7) + (4y + 3) = 180

70 - 7 + 4y + 3 = 180

4y + 66 = 180

4y = 114

y = 28.5

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Answer: It is b

Step-by-step explanation:

Answer: 126.5

Step-by-step explanation:

This is Pythagoras theorem so a² + b² = c²

c² is always the diagonal bit

The soccer field is rectangle and draw the route of the players on and you get the triangle

a = 120

b = 40

c² = a² + b² (square root after)

120² + 40² = 16000

Then square root that to get 126.5

I hoped this helped so please thank and rate :)

Answers:

decimal form = 0.124

simplified fraction = 31/250

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

Explanation:

To convert from percent to decimal, we move the decimal point 2 spots to the left.

12.4% converts to the decimal form 0.124

Optionally you could use your calculator to say 12.4/100 = 0.124

--------

To convert from a terminating decimal to a fraction, we write the decimal digits over some power of 10. In this case, we write the "124" over 10^3 aka 1000. We write it over 1000 since the '4' is in the thousandths place value. Then reduce as much as possible.

124/1000 = (31*4)/(250*4) = 31/250 is the simplified fraction form

Use your calculator to see that 31/250 = 0.124 to confirm the answer.

The length of the missing ,line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

In the question ,

a figure is given , we have to find the length of the missing line segments .

From the given figure

the Δ ACD is a right triangle ,

given that ∠A and ∠D are equal

so ,  their corresponding length AC and CD will be equal , that is AC = CD

So , By Pythagoras Theorem

AC² + CD² = AD²

2*AC² = AD²

2*AC² = (20)²

2*AC² = 400

AC² = 400/2 = 200

AC = √200

AC = CD = 10√2

The triangle ABC is also right triangle

and ∠A and ∠C are equal

so , their corresponding length AB and BC will be equal , that is AB = BC

So , By Pythagoras Theorem

AB + BC = AC

2*AB² = AC²

2*AB² = (10√2)²

2*AB² = 200

AB² = 200/2 = 100

AB = √100

AB = 10 = BC

Therefore , The length of the missing line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

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If  he has 7 more nickels than dimes. The number of quarters that Warren have is 7.

Let coins be:

n + d + q = 40

Where;

n = nickels

d =dimes

q = quarters

Hence,

.05n + .10d + .25q = 4.05

n = d + 7

Substitute (d+7) for n

(d+7) + d + q = 40

2d + q = 40 - 7

2d + q = 33

q = (33-2d)

So,

.05(d+7) + .10d + .25q = 4.05

.05d + .35 + .10d + .25q = 4.05

15d + .25q = 4.05 - .35

.15d + .25d = 3.70

Substitute (33-2d) for q

.15d + .25(33-2d) = 3.70

.15d + 8.25 - .5d = 3.70

.15d -.5d = 3.70 - 8.25

-.35d = -4.55

Divide both side by -/35d

d = -4.55 / -.35

d = 13 dimes

Nickels

n = d+7 where d is 13

n = 13 + 7

n = 20 nickels

Quarters

q = (33-2d)

q = 33 - 2(13)

q = 33 - 26

q = 7 quarters

Therefore 7 is the quarters.

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The statements is true of the function f(x)= x^2 + 6x^3 - 4 + 2x^5 is C.the graph has exactly one x-intercept

It is shown that the function has one intercept in the x direction by plotting the graph of the polynomial

The graph showed one x intercept is at the coordinate (0.778, 0)

x intercept refers to the value of x when y is zero

The graph is plotted and attached

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Answer:

KentuckyCriedChickens

By using the properties of parallelogram, it can be calculated that

[tex]\angle CFE = 30^{\circ}[/tex]

[tex]\angle[/tex]DEF = 70°

[tex]\angle AED = 110^{\circ}[/tex]

What is a parallelogram?

Parallelogram is a four sided two dimensional figure whose each pair of opposite sides are parallel.

Here, ABCD is a parallelogram

[tex]\angle CFE = 30^{\circ}[/tex] [Alternate angle]

[tex]140 = \angle CEF + \angle CFE[/tex] [ Exterior angle of a triangle is equal to the sum of two opposite interior angle]

[tex]\\\angle CEF = 140 - 30\\\angle CEF = 110^{\circ}[/tex]

[tex]\angle[/tex]DEF = 180 -  110 [ Angle on a straight line]

         = 70°

[tex]\angle AED = 110^{\circ}[/tex] [Vertically opposite angle]

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Answer:-3

Step-by-step explanation:

The greatest number of costumes the dance group can make is 15.

The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The first step is to determine the number of costumes that can be made given the total yards of black material.

Total costumes that can be made = total length available / length required for each costume

30 / 2= 15

The second step is to determine the number of costumes that can be made given the total yards of red material.

Total costumes that can be made = total length available / length required for each costume

60 / 3 = 20

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The graph shows the absolute value function.

y = |x - 3| + 5

First, we can see that the shape of the graph is a "V", so we have an absolute value function.

We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form

y = |x - a| + b

Notice that the above function has a vertex at (a, b)

And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:

y = |x - 3| + 5

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Answer:

None

Step-by-step explanation:

When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.

The fraction of coal left in the bag was zero or none since Tom used the remaining coal.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.

As per the given,

After one week the bag was 2|3 full

Now remaining coal = 1 -2/3 = 1/3 part

Now, Tom used this remaining amount.

So, 1/3 - 1/3 = 0 part.

Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".

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The slope-intercept form of the equation of the line is y = 2/3(x) - 4

Given that: the unknown line passes through (0, -4) and it is perpendicular to  y= -3/2(x) + 1

The slope-intercept form of a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ × m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be  m₂

Line1(given):

y = -3/2(x) + 1   and m₁ = -3/2

m₁ × m₂ = -1

-3/2 × m₂= -1

m₂ = 2/3

Line 2(unknown) with the point ​(0, -4​):

y = mx + c     (x = 0 and y = -4)

-4 = 3/2(0) + c

c = -4

y = 2/3(x) - 4

Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4

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Answer: D) 7

Step-by-step explanation:

First put this into an equation as shown

f(x)=10x

The 10 is for the money he makes and the x is the amount of weeks

then take the 35 dollars he already saved and put it into an equation as shown

35+f(7)

the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)

7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.

Hope that helped. It may have been a bit complicated.

Answer:5

Step-by-step explanation:

10x7=70

35+70=105

The absolute value equation graphed is defined by the rule given as follows:

y = |x - 3| + 6.

The function graphed is an absolute value equation, due to it's v format.

The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:

y = |x - h| + k.

On the graph, this vertex is the turning point of the absolute value function.

For the graphed function, the coordinates of the vertex are given as follows:

Then the coordinates of the vertex are:

(3,6).

The equation of the graphed absolute value function is:

y = |x - 3| + 6.

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The flight of plane from Montego bay to freeport is 894 miles.

To solve this we use Pythagoras theorem.

What is Pythagoras theorem?

The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem.

Main Body:

Formula for Pythagoras theorem = [tex]P^{2} +B^{2}[/tex]= [tex]H^{2}[/tex]

here H = 1200

B= 800

P =?

solving this equation

1200² = 800²+P²

P²= 800000

P=[tex]\sqrt{800000}[/tex]

P ≈ 894 miles

Hence the distance of flight from Montego Bay to Freeport is 894 miles.

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For the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .

As given in the question,

In the given triangle STU,

TU = 11

US = 17

ST = 18

we can see that

     TU < US < ST

⇒   11 < 17 < 18

⇒   11 + 17 = 28

⇒   28  > 18

All the sides of the triangle are not equal to each other.

This implies that all the angles opposite to the unequal sides are also not equal to other.

Therefore, for the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .

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