RIGHT ANSWER GETS 10 POINTSIn The Figure Below, Angle Y And Angle X Form Vertical Angles. Angle Y Forms (2024)

Mathematics High School

Answers

Answer 1

The equation x + (60 + 70)° = 180° is used to solve for the measure of the vertical angle x = 50°

What are vertically opposite angles

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

The angle y and x form vertical angles, so x = y

Angle y form a straight line with 60° and 70° so we have the equation to solve for x as:

x + 60° + 70° = 180° {sum of angles on a straight line}

x + 130° = 180°

x = 180° - 130° {subtract 139° from both sides}

x = 50°

Therefore, the measure of the vertical angle x is equal to 50° derived with the equation x + (60° + 70°) = 180°.

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Related Questions

generally, all stakeholders agree that there is a problem and on what the problem is before beginning the dmaic process. state of true of false.1. true2. false

Answers

The given statement about the stake holders of DMAIC is false.

The term DMAIC stands for Define, Measure, Analyze, Improve, and Control and it represents the five phases that make the process,

Here we have given that generally, all stakeholders agree that there is a problem and on what the problem is before beginning the DMAIC process.

And we need to check whether the statement is true or not.

Here we know that in DMAIC process we have to follow the following steps they are listed as,

=> Define the problem

=> Improve activity

=> To determine opportunities for improvement

=> Identify the project goals

=> To analyze project goals and customer requirements.

Hence through this we have identified that the main purpose of DMAIC is to improve the effectiveness and efficiency of an organization's existing processes.

And here we have also know that DMAIC is a core data-driven improvement methodology of Six Sigma.

So, here the given statement is false.

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One bank account pays 6% interest and another pays 12%. If $6,000 was invested for a year and the interest earned was $540, how much was invested at 6%?

Answers

Answer:

360

Step-by-step explanation:

0.06x6000=360 also that 6% equal 6/100 wich is 0.06

If the number of tickets sold is 125, what will be the total sales?​

Answers

Answer:

I don't know????????....................

5. Write the negation of each of the following statements:
a. R: Ron went to school.
b. S: A triangle has 3 sides.
c. T: x=9
d. U: 20 is a multiple of 3.

Answers

The negation of the following statements are a. R: Ron did not go to school. b. S: A triangle does not have 3 sides. c. T: x ≠ 9 d. U: 20 is not a multiple of 3.

What is negation?

It's vital to know the opposite of a particular mathematical statement from time to time in mathematics. This practice is known as "negating" a claim. Remember that if a claim is true, then the negation must be false.

The negation of the following statements is:

a. R: Ron did not go to school.

b. S: A triangle does not have 3 sides.

c. T: x ≠ 9

d. U: 20 is not a multiple of 3.

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write an equation:

an addition equation with one variable that has a solution of 3

Answers

Answer:

x + 5 = 8

Step-by-step explanation:

x + 5 = 8

Subtract 5 from both sides.

x + 5 - 5 = 8 - 3

x = 3

Answer: x+5=8

Step-by-step explanation:

The graph of y = In(x) was transformed by shifting 8 units left and 12 units up. Write an equation

Answers

The equation of the translated function for this problem is given as follows:

y = ln(x + 8) + 12.

What are the translation rules?

The four translation rules are defined as follows:

Left a units: g(x) = f(x + a).Right a units: g(x) = f(x - a).Up a units: g(x) = f(x) + a.Down a units: g(x) = f(x) - a.

The parent function in this problem is given as follows:

y = ln(x).

The translations in this problem, and their effects, are given as follows:

8 units left: x -> x + 8.12 units up: y -> y + 12.

Hence the translated function is defined as follows:

y = ln(x + 8) + 12.

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At a local play, student tickets cost $5 each and adult tickets cost $11 each. if ticket sales were $3,000 for 300 tickets, how many students attended the play? a. 50 b. 150 c. 250d. 300

Answers

This problem can be solved used linear equations. Here there are two variables, number of students and number of adults. After calculations we get the number of students attended the play is 50.

Lets consider the number of students is x and number of adults is y.

Total tickets sold = 300

x + y = 300 ------------ equation 1

The amount of total tickets sold is 3000.

Amount sold to students = 5x

Amount sold to adults = 11y

So, 5x+11y =3000 ----------- equation 2

Equating the x term for equation 1

Multiplying both sides with 5

5 (x+y) = 5 × 300

5x + 5y = 1500 ---------- equation 3

Subtracting equation 3 from equation 2

5x + 11y = 3000

- ( 5x + 5y = 1500)

6y = 1500

y = 1500/6 = 250

Number of adult attended = 250

From equation 1, x+y = 300

Substituting the value of y

x + 250 = 300

x = 300-250 = 50

So number of students attended is 50

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Answer: 50

Step-by-step explanation: i got it right on my quiz

Take care to properly set up your equations. The $3,000 is the sum of total money from student tickets and total money from the adult tickets.

Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 4 kilometers. Measured in a straight line, how far apart are the two cars? If necessary, round to the nearest tenth

Answers

The straight line distance between the northbound and eastbound cars is 5.7 kilometres.

The movement of cars and straight line connecting them forms a right angled triangle. The straight line will be hypotenuse will the eastbound and northbound distance will be perpendicular and base of the triangle. Thus, using Pythagoras theorem to find the distance between the two cars.

Distance between the two cars = ✓4² + 4²

Taking square of the numbers

Distance between the two cars = ✓16 + 16

Performing addition

Distance between the two cars = ✓32

Taking square root

Distance between the two cars = 5.66

Round to nearest tenth = 5.7

Thus, the distance is 5.7 kilometres.

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mj supply distubutes bags of dog food to pet stores its markup rate is 28% which eqaution represents the new price of a bag of dog food y given an orignal price x?

Answers

Answer:

Step-by-step explanation:

You didn't post any answer choices, but the answer should be:

y = x + (0.28)x = 1.28x

Scott has a blue front of the new deck his building with dimension 7.5” x 4.5”. The actual deck will have dimensions 20’ x 12’. What is the scale

Answers

The scale of the drawing is given as follows:

1 : 4.5.

How to obtain the scale of the drawing?

The scale of the drawing is obtained applying the proportions in the context of this problem.

The scale is defined as the division of the drawn length by the actual length.

The lengths are given as follows:

Drawn length: 20 inches.Actual length: 7.5 feet = 7.5 x 12 = 90 inches.

90/20 = 4.5, hence the scale of the drawing is given as follows:

1 : 4.5.

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Find the smallest pair of 4-digit numbers such that the difference between them is 303 and their HCF is 101. Show your steps.

Please give answer immediately

Answers

Based on the information provided, the two numbers whose HCF is 101 are 1010 and 1313.

What is the HCF?

The HCF is the highest common factor or in other words, the highest number by which two numbers can be divided. Let's start by listing the four digits numbers that can be the HCF related to 101.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

Now, from these numbers, there are two numbers whose difference is 303.

1313 - 1010 = 303

Based on this, the two numbers are 1010 and 1313

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jennifer takes 2 hours to make a loaf of bread and 1 hour to make a dozen cookies. janet takes 3 hours to make a loaf of bread and 3/4 hours to make a dozen cookies. who, if either, has an absolute advantage baking bread? who, if either, has an absolute advantage making cookies?

Answers

When it comes to baking bread, Jennifer has an absolute advantage. But when it comes to making cookies, Janet has an absolute advantage.

Absolute advantage is used when there is efficient production. It is used to describe the ability of a person, place, business, or nation to produce a lot of goods or services with the same amount of inputs in a given amount of time.

Here, a loaf of bread baked by Jennifer takes about 2 hours but it takes about 3 hours for Janet to bake a loaf of bread. So, Jennifer has an absolute advantage in baking a loaf of bread.

Also, Jennifer takes about 1 hour to bake 12 cookies but it only takes 3/4 hours or 45 minutes for Janet to bake cookies 12 cookies. So, Janet has an absolute advantage in baking a dozen cookies.

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Please help me w this!!!

Answers

Answer:

Step-by-step explanation:

X =90

Solve for x to the nearest tenth.

Answers

By calculating , The value of x is 5√5.

What is triangle?

Triangle can be defined in which it consists of three sides , three angles and the sum of three angles is always 180 degrees.

From the given figure,

When we draw a line inside the figure than it becomes into rectangle and one another triangle.

so,

In the right angled triangle,

with base 10 and opposite side 5

We have to find the hypothenuse that is x .

so,

from pythagorean theorem

we can say that

Sum of squares of two sides is equal to square of hypothenuse

so,

10*10 + 5*5 = x*x

100+25 = x*x

x*x = 125

x = 5√5 .

Hence, The value of x is 5√5

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Help meeeee please i need help with this

Answers

Answer: I believe the answer would be y = 3x.

Step-by-step explanation: I like to start by counting the x-values, then the y-values. Since the y-values are increasing by a constant of 3 and the x-values are increasing by 1, that would technically make the equation y = 3x + 0, but you don't need the 0 in this case. So it's just y = 3x. I hope this helps! :)

Trina is buying favors for a birthday party. All of the party favors cost more than $13. What is the least expensive the party favors could be?

Answers

The least expensive will be the lowest cost among the cost greater than $13.

i.e $13.5

If the cost of the favors is:

$13.5 < $14 < $15 < $20

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

All of the party favors cost more than $13.

This means,

Cost = x

x > 13

Now,

If the following are the cost of the favors:

$13.5, $14, $15, and $20

The least expensive will be the lowest cost among the cost greater than $13.

i.e $13.5

13.5 < 14 < 15 < 20

Thus,

The least expensive will be the lowest cost among the cost greater than $13.

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A rectangle has an area of 174. 8m2

One of the sides is 3. 8m in length.

Work out the perimeter of the rectangle.

Answers

The perimeter of the rectangle with area 174.8m² and side-length 3.8m is equal to 99.6 meters.

Area of the rectangle is equal to 174.8 m².

Length of the rectangle is equal to 3.8 m

let us consider 'w' be the width of the rectangle.

area of the rectangle = length × width

⇒ 174.8 = 3.8 × w

⇒ w = 174.8 / 3.8

⇒ w = 46 m

Perimeter of the rectangle = 2 ( length + width )

⇒ Perimeter of the rectangle = 2 ( 3.8 + 46 )

⇒ Perimeter of the rectangle = 2 ( 49.8 )

⇒Perimeter of the rectangle = 99.6 meter.

Therefore, the perimeter of the rectangle with length 3.8m and width 46m is equal to 99.6m.

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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h at time t seconds after launch is h(t) = -16(t)^2 +80t. Find the domain of the function.

Answers

The domain of the function h(t) = -16(t)² + 80t is,

⇒ (- ∞, ∞)

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation for this object's height h at time t seconds after launch is,

⇒ h(t) = -16(t)² + 80t

Now, The function is shown a Quadratic equation.

Hence, The domain of the function h(t) = -16(t)² + 80t is,

⇒ (- ∞, ∞)

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Let f(x) = 4x + 3 and g(x)=x²-x+1. Perform the function operation and then find the domain.
g(x)-f(x)
g(x)-f(x) = (Simplify your answer.)

Answers

The domain of g(x) - f(x) is all real numbers, or (-∞, ∞).

What is the domain?

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value). In other words, it is the set of values for which the function is valid and can be used without producing any errors or undefined results.

To perform the function operation g(x) - f(x), we need to subtract the function f(x) from the function g(x).

g(x) = x² - x + 1

f(x) = 4x + 3

g(x) - f(x) = x² - x + 1 - (4x + 3)

g(x) - f(x) = x² - 5x - 2

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).

For the function g(x) - f(x) = x² - 5x - 2, there are no restrictions on the input values, meaning that any value of x can be plugged into the function to produce a valid output.

Therefore, the domain of g(x) - f(x) is all real numbers, or (-∞, ∞).

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Which inequality matches the graph? -2x + 3y > 7 02x-3y ​

Answers

the inequality model. 5x-6y <0 is attached below.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

2x + 3y > 7x-3y ​

5x-6y <0

So we have to plot this inequality.

Hence, the inequality model. 5x-6y <0 is attached below.

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(e) (i) Using a scale of 2cm to represent 5 units on each axes, show, by shading the unwanted regions, the set of points satisfying the three inequalities in parts (b), (c) and (d). [3] (ii) Calculate the maximum number of rabbits the farmer can buy. [2]​

Answers

Answer: (e) (i) To represent the inequalities graphically on a coordinate plane, you can use a scale of 2cm to represent 5 units on each axis. To shade the unwanted regions, you can start by drawing the coordinate plane and labeling the x and y axes. Then, you can graph the inequalities by plotting the lines and shading the regions that do not satisfy the inequalities.

(b) 2x + 3y ≤ 30

This inequality represents a line with the equation 2x + 3y = 30. You can graph this line by plotting a few points and then drawing a straight line through them. The points that are on or below the line satisfy the inequality.

(c) x - 2y ≥ -10

This inequality represents a line with the equation x - 2y = -10. You can graph this line by plotting a few points and then drawing a straight line through them. The points that are on or above the line satisfy the inequality.

(d) y ≤ -2x + 10

This inequality represents a line with the equation y = -2x + 10. You can graph this line by plotting a few points and then drawing a straight line through them. The points that are on or below the line satisfy the inequality.

The set of points that satisfy all three inequalities is the area that is not shaded in the graph.

(ii) To find the maximum number of rabbits the farmer can buy, we need to find the coordinates of the vertex of the feasible region.

The coordinates of the vertex of the feasible region is (x,y) the point where the line 2x+3y=30 and x-2y=-10 intersects.

We can substitute the x-2y=-10 into the 2x+3y=30 equation

2x+3y=30

2x+3y+2y=-10

2x+5y=-10

x=-5y+10

substituting this into one of the equation we have

2(-5y+10)+3y=30

-10y+20+3y=30

-7y=10

y= -10/7

substituting this into x = -5y+10 we have

x = -5(-10/7)+10 = 15

the maximum number of rabbits the farmer can buy is 15

Step-by-step explanation:

if a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes? what is the equation for this problem?

Answers

Answer: If a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes? What is the equation for this problem? answer choices l (x) = 120x l (x) = 120 [x-1] l (x) = 120 [x] l (x) = 120 [x+1]

Thank me later.

Select one or more expressions that together represent all solutions to the equation. Your answer should be in degrees.
Assume

nn is any integer.
7
cos

(
9

)

1
=
1
7cos(9x)−1=17, cosine, left parenthesis, 9, x, right parenthesis, minus, 1, equals, 1

Answers

The trigonometric equation 7cos(9x) - 1 = 17 has an undefined solution.

How to solve the trigonometric equation?

The trigonometric equation for this problem is defined as follows:

7cos(9x) - 1 = 17

Isolating the cosine, we have that:

7cos(9x) = 18

cos(9x) = 18/7

Now we isolate x applying the arc cosine, which is the inverse of the cosine, as follows:

9x = arccos(18/7)

9x = undefined.

The solution is undefined because the arccosine only exists for values between -1 and 1, as the cosine of an angle is always going to assume a value between -1 and 1.

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The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas.
a. If the car has gone 140 miles, how much gas was used? Show your thinking.

b. Write an equation that represents the inverse function: the gallons of gas as a function of distance in miles

Answers

a)

g = m / 40

g = 140 /40

g = 3.5

b)

m = 40g

m / 40 = g

Volume of Composed Figures What is the volume of this container?
15 cm 4,000 cm3 20 cm 6,000 cm3 10 cm 10 cm 900 cm3 20 cm 3,000 cm3 15 cm​

Answers

The volume of the container is 4,500 cm3.

Calculate the volume of the two cubes that make up the container.

For the cube on the left, the volume can be found by multiplying the length (15 cm) by the width (10 cm) by the height (10 cm).

15 cm × 10 cm × 10 cm = 1,500 cm3

For the cube on the right, the volume can be found by multiplying the length (20 cm) by the width (15 cm) by the height (10 cm).

20 cm × 15 cm × 10 cm = 3,000 cm3

Add the two volumes together to find the total volume of the container.

1,500 cm3 + 3,000 cm3 = 4,500 cm3

Therefore, the volume of the container is 4,500 cm3.

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Solve the equation ax + b = c for x.

x =

Answers

Answer:

X = C - B

--------

A

Step-by-step explanation:

Solving for X is pretty much getting X alone on one side of the equal sign. That's when we would do the "opposite" of what the original equation is showing. And we do that to both sides.

For example, we see +b. The opposite of addition is subtraction, so we do just that. We do -b on BOTH sides of the equal sign. b -b = 0. It cancels it out. c-b is just as it says. So now we have ax = c-b.

Now we see ax are right next to each other with no symbol, which means they are being multiplied. The opposite of multiplication is division. So we'll do that exactly. We will divide A on both sides. ax/a gets rid of that a and leaves the x alone. Dividing c-b/a gives you just that, making the answer X = C-B/A

a survey for kindergartners asked about their favorite color. the children were asked to check the box corresponding to blue, red, green, yellow, or orange. what is the scale of measurement for this question? group of answer choices ordinal interval nominal ratio

Answers

Nominal scale- A nominal scale is a discrete classification of data, in which data are neither measured nor ordered but subjects are merely allocated to distinct categories.

Measurements on an interval scale have substantial differences between the values. In other words, the disparities between the scale's points are exact and measurable.

Ratio scales are interval scales where lengths are expressed in relation to a rational zero.

Ordinal scale: a scale where data is presented merely in terms of order of magnitude because there is no accepted method for determining differences.

Since there are 5 categories: Blue, Red, Green, Yellow, Orange, so by the above definition we can say that for this question we would use Nominal scale for measurement.

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Which descriptions and equations could be the function rule? Select all that apply.
The table in the attached image shows some of the input and output values for a function rule.

Answers

For the given table of values the equation that could be the function rule is option 4: y = 3x - 2.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The table of input and output values are given for the function.

The slope-intercept form of an equation/function is - y = mx + b

To find the slope m use the formula -

(y2 - y1)/(x2 - x1)

Substituting the values in the equation -

[-2 - (-11)]/[0 - (-3)]

(-2 + 11)/(0 + 3)

9/3

3

So, the slope point is obtained as m = 3.

The equation becomes - y =3x + b

To find the value of b substitute the values of x and y in the equation -

-11 = 3(-3) + b

-11 = -9 + b

b = -11 + 9

b = -2

So, the value for b is -2.

Now, the equation becomes -

y = 3x - 2

The graph is plotted for the function.

Therefore, the equation is y = y = 3x - 2.

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solve 3x≤-5/4 as a inequality

Answers

Answer:

Inequality Form:

x ≤ −5/12

Interval Notation:

(−∞, −5/12]

Step-by-step explanation:

solve these proportion for the variable x. Use the reasoning of scalling to solve​

Answers

The value of x from the given proportion is given as x = 10 after scalling both side of the equation.

What is Ratio and Proportion ?

A ratio is a divisional comparison of two quantities, and a proportion is the equality of two ratios. A ratio is often read as "x is to y" but may also be written as "x: y" or "x/y." The proportion equation, on the other hand, states that two ratios are equal.

The equality of two ratios is referred to as proportion. There is never a difference between two comparable ratios. The ratio sign (::) is used to express proportions, which aid in solving problems with ambiguous amounts. To put it another way, a percentage is an equation or a claim that shows the equality of two ratios or fractions. If a: b = c: d, then four non-zero values, a, b, c, are said to be in proportion. Let's now compare the two ratios, 3:5 and 15:25. In this case, 3:5 and 15:25 may both be written as 3:5 = 3/5 and 0.6, respectively. We may argue that these two ratios are proportionate because they are both equal.

There are two types of proportions :

Direct ProportionInverse Proportion

The proportion is given by ,

x/12 = 15/18

⇒ multipling both side with 12 we get ,

x = (12*15)/18

⇒ x = 5 * 2 = 10

The value of x from the given proportion is given as x = 10.

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The value of x from the given proportion is given as x = 10 after scalling both side of the equation.

What is meant by equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.An equation that expresses a significant relationship between two or more variables is called a formula.

There are two types of proportions :

==>Direct Proportion

==>Inverse Proportion

The proportion is given by ,

x/12 = 15/18

⇒ multipling both side with 12 we get ,

x = (12*15)/18

⇒ x = 5 * 2 = 10

The value of x from the given proportion is given as x = 10.

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RIGHT ANSWER GETS 10 POINTSIn The Figure Below, Angle Y And Angle X Form Vertical Angles. Angle Y Forms (2024)
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