If angle 1= 105°, angle 12= (3x + 15)°, and angle 7 = (8y-5)°, determine the values
of x and y.

Answer:

Since they both have the same slope, they are Parallel.

Step-by-step explanation:

We will have to calculate slope for this equation using this formula:

\(\frac{y2-y1}{x2-x1}\)

For line 1 our points are:

(-3,-1) and (2,4)

Substitute:

\(\frac{4+1}{2+3}\)

\(\frac{5}{5}\)

The slope for the first line is 1.

For line 2 our points are:

(2,-6) and (7,-1)

Substitute:

\(\frac{-1+6}{7-2}\)

\(\frac{5}{5}\)

The slope for this equation is 1.

For these lines to be parallel, they would need their slopes to be the same.

For these lines to be perpendicular, they would need to be opposite reciprocals.

Since they both have the same slope, they are Parallel.

Answer:

Parallel

Step-by-step explanation:

(-3, -1) and (2,4) -

First find the slope of the line using the slope formula \(\frac{y2-y1}{x2-x1}\) :  \(\frac{4-(-1)}{2-(-3)}\)

Add the numbers : \(\frac{5}{5}\)

Simplify: 1

Using one of the given ordered pairs find the y-intercept: 4 = 1(2) + b

Caluclate the product : 4 = 2 + b

Move the variable to the left-hand side and change its sign: -b = 2 - 4

Calulate the diffrence and change the signs: b = 2

Using the slope and y- intersept creat your equation : y = 1x + 2

(2, -6) and (7, -1)-

First find the slope of the line using the slope formula \(\frac{y2-y1}{x2-x1}\) : \(\frac{-1-(-6)}{7-2}\)

Add the numbers : \(\frac{5}{5}\)

Simplify: 1

Using one of the given ordered pairs find the y-intercept: -6 = 1(2) + b

Caluclate the product : -6 = 2 + b

Move the variable to the left-hand side and change its sign: -b -6 = 2

Calulate the sum and change the signs: b = -8

Using the slope and y- intersept creat your equation : y = 1x + -8

Parallel lines have the same slope and different y-intercepts

Answer:

4

Step-by-step explanation:

I'm going to assume you mean [ m + 2 = 6 ]

m + 2 = 6

~Subtract 2 to both sides

m = 4

Best of Luck!

Answer:

a. $2.12

b. $6.45

c. $38.81

Step-by-step explanation:

a.

I'll convert 30.24 and 7% into fractions.

756/25 * 7/100

Cross cancel 756 and 100 (GCF is 4)

189/25 * 7/25

Convert above into a single fraction

(189 * 7)/(25 * 25)

Multiply 189 by 7, then 25 by 25.

1323/625

Divide, then round to the nearest cent

$2.1168 ≈ $2.12 in sales tax

b.

Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.

1613/50 * 1/5

Multiply 50 by 5.

1613/250

Divide, then round to the nearest cent.

$6.452 ≈ $6.45 in tip money

c.

This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.

$30.24 + $2.12 + $6.45

$32.36 + $6.45

You pay a total of $38.81 for lunch.

Answer:

9 bags

Step-by-step explanation:

2 1/4 ÷ 1/4

9/4 ÷ 1/4

9/4 x 4/1 = 9

a) On a coordinate plane, points are at (1, 48.1), (2, 50.9), (3, 62.4), (4, 67), (5, 76.5), (6, 83.9), (7, 86.8), (8, 88.1), (9, 79.2), (10, 69.9), (11, 59.5), (12, 49.6)  best represents the data.

This is because the data represents a set of paired values, with the months as the independent variable (x) and the average maximum monthly temperature as the dependent variable (y). A scatter plot is the appropriate graph for displaying this type of data.

Option a shows the correct placement of the data points on a scatter plot, with the x-axis representing the months and the y-axis representing the average maximum monthly temperature. The points are clearly organized in a sequence from January to December, with an upward trend in temperature from the winter months to the summer months, followed by a gradual decrease in temperature in the fall and winter months.

Option b has the correct range of temperatures, but the points are not arranged in a logical sequence and are scattered randomly across the graph. Option c also has a similar issue with random placement of points and does not reflect the actual values in the data set. Option d only has three points and does not represent the complete data set.

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The value of the variables in the right triangle are as follows;

A right triangle is a triangle that has one of its angles as 90 degrees.

The side of a right triangle can be found by using trigonometric ratios.

Therefore, let's find the variable length of the right triangle as follows;

sin 30 = opposite / hypotenuse

sin 30 = v / 3√2

1 / 2 = v / 3√2

cross multiply

3√2 = 2v

divide both sides by 2

v = 3√2 / 2

Let's find the variable w.

cos 30 = adjacent  / hypotenuse

cos 30 = w  / 3√2

√3 / 2 = w  / 3√2

cross multiply

√3 × 3√2 = 2w

3√6 = 2w

divide both sides by 2

w = 3√6 / 2

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Answer:

36+4x

Step-by-step explanation:

i think this is just asking for simplification

times two by each vvariqble in the bracket

36+4x

Step-by-step explanation:

1) : x = +-3

2): x=4.83 and x = -0.83

3): x= +-3.83

4): x=-8 and x =0

1st one is correct.

for second one

2(x-2)²=16

or, (x-2)² = 8

\(x - 2 = 2 \sqrt{2} \\ x = 2 \sqrt{2} + 2 \)

so, x = 4.83

again,

now

3x²+4=48

or, 3x² = 44

or, x² = 44/3

\(x = \sqrt{ \frac{44}{3} } \)

so, x = 3.83

again

3(x+4)²=48

or, (x+4)² = 16

or, x+4 = 4

so, x = 0

or

x+4 = -4 (since root under 16 is also -4)

x = -8

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

Answer:

852

Step-by-step explanation:

Answer:

852

Step-by-step explanation:

Using PEMDAS:

Multiply the numbers

88 × 9 - 60 - 80 + 200

792 - 60 - 80 + 200

Subtract the numbers

792 - 60 - 80 + 200

652 + 200

Add the numbers

652 + 200

= 852

[RevyBreeze]

Answer:

45%

Step-by-step explanation:

There are 45% percent of the students who answered pasta.

Percentage is a measurement to find value of a given number out of a hundred.

Given that,

Total number of students at cafeteria = 40

Percentage of students answered for pizza = 30%

Therefore, number of students answered for pizza = 40x30/100 = 12

Also given that,

18 students answered for pasta and 10 students answered for salad,

The percentage of students who answered for pasta

= (18/40)x100

= 45

45% of students answered for pasta.

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The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

Step-by-step explanation:

This type of probability is independent i.e the occurrence of one does not affect the other.

Probability = expected outcome/total outcome

For a coin:

The total sample space = {H, T} i.e 2

The probability of tossing a head will be:

P(a head) = 1/2

For a die:

Sample space S = {1, 2, 3, 4, 5, 6}

Total number of sample space n(S) = 6

If a number greater than 5 is rolled, the event outcome will be E = {6}

Pr(S>5) = n(E)/n(S)

Pr(S>5) = 1/6

The probability of tossing a head and then rolling a number greater than 5 is expressed as:

Pr(H and S>5) = Pr(H) * Pr(S>5)

Pr(H and S>5) = 1/2* 1/6

Pr(H and S>5) = 1/12

Hence the probability of tossing a head and then rolling a number greater than 5 is 1/12

Answer:

3:1 is a unit rate

Step-by-step explanation:

Answer:

hi.......................

Step-by-step explanation:

stop being a selfish point grabber dude, its effed up. i needed help on that question and you screwed it up :|

The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.

The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.

To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.

For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.

In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

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Answer: graphs are in attachments (give brainliest ! )

The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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By using properties of triangle, it can be calculated that-

The pilot is 2740 miles from her starting position.

What is a triangle?

A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles.

Here,

The diagram has been attached

Time = 130 minutes = 2 hrs 10 minutes = \(2 + \frac{10}{60}\) hours = \(\frac{13}{6}\) hours

Speed = 600 miles per hour

Distance = \(\frac{13}{6} \times 600\) = 1300 miles

Now,

Time = 145 minutes = 2 hrs 25 minutes = \(2 + \frac{25}{60}\) hours = \(\frac{29}{12}\) hours

Distance = \(\frac{29}{12}\times 600\) = 1450 miles

Angle = \(10^{\circ}\)

\(c^2 = 1300^2 + 1450^2 - 2\times 1300\times 1450\times cos(180-10)\\c^2 = 1690000 + 2102500 - (-3712725.2)\\c^2= 7505225.2\\c= \sqrt{7505225.2}\\c = 2740\)

The pilot is 2740 miles from her starting position.

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Answer:

24 look it up on Google and your welcome I hope I'm right good day

The lateral surface area of the cylinder is 344.64 centimeter square

The radius of the cylinder = 4.9 centimeter

The height of the cylinder = 11.2 centimeter

The lateral surface area of the cylinder = 2 × π × r × h

Where r is the radius of the cylinder

h is the height of the cylinder

The value of π = 3.14

Substitute the values in the equation and find the lateral surface area of the cylinder

The lateral surface area of the cylinder = 2 × 3.14 × 4.9 × 11.2

Multiply the terms

= 344.64 centimeter square

Therefore, the lateral surface area is 344.64 centimeter square

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The given question is incomplete, the complete question is:

Find the lateral surface area of the cylinder. Use 3.14 for π.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

n=91

Step-by-step explanation:

(n×7)+2=100

n+9=100

-9 from both sides

n=91

Answer:

(-2)

Step-by-step explanation:

just do -2 x-3 x than + 13 and than you will get - 2

Answer:

x=45- 2*8.99/8.50

x~3.18

3 lbs of shrimp

Approximately 3 pounds of shrimp Luna can buy with $45.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Luna is buying food for a dinner party. She is going to buy 2 key lime pies that cost $8.99 each.

Shrimp costs $8.50 a pound.

Let the number of pounds of Shrimp be x.

She needs to spend less than $45 total.

2×8.99+x×8.50<45

17.98+8.50x<45

Subtract 17.98 on both sides of an inequality, we get

8.50x<27.02

Divide 8.50 on both sides of an inequality, we get

x<3.17

x<3

Therefore, approximately 3 pounds of shrimp Luna can buy with $45.

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