Select all the correct answers.
Given: m/WOZ = 90°
m/ZOB = 45°
Prove: m/AOW = 45°
What evidence in the proof supports the statement that 45° +mZAOW = 90°?
Statements
1. m/WOZ =
90°
2. m/ZOB = 45°
3. ZZOB ZXOA
4. m/XOA 45°
5. ZXOW + ZWOZ = 180°
6. m/XOW 90°
|7.m/XOA + mZAOW
=
Reasons
1. given
2. given
3. vertical angle theorem
4. definition of congruence
5. linear pair theorem
6. subtraction property of equality
= m/XOW 7. angle addition postulate

Answers

Answer 1

The correct answers are:

vertical angle theorem

angle addition postulate

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

The evidence in the proof that supports the statement that m/AOW = 45° is:

Statement 3: ZZOB ZXOA. This means that ZOB and ZOA are vertical angles, which means they are congruent.

Statement 4: m/XOA = 45°. This is the measure of ZOA, which is congruent to ZOB.

Statement 7: m/XOA + m/AOW = m/XOW. This is the angle addition postulate, which states that the sum of the measures of the angles in a triangle is 180°.

So, combining these pieces of evidence, we have:

m/XOA = 45° and m/XOA + m/AOW = m/XOW,

therefore m/AOW = m/XOW - m/XOA

                              = 90° - 45°

                              = 45°.

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Answer 2

Answer:7, 4, 6,

Step-by-step explanation:


Related Questions

I CAN GRAPH INEQUALITIES ON THE NUMBER LINE.
←+
x ≥6
H
15.5 > X

Answers

The graph of given inequalities is plotted on the number line is attached below.

What are inequalities?

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.

The given inequalities are x≥6 and 15.5>x.

The solution set of the inequality x≥6 is

{6, 7, 8, 9, 10, 11, 12, 13, 14,......}

Interval Notation: [6,∞)

x<15.5

Interval Notation: (−∞, 15.5)

Therefore, the solution set of the inequality x≥6 is {6, 7, 8, 9, 10, 11, 12, 13, 14,......}.

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If a cylinder has a volume of 400 cubic feet, and the height of the cylinder is 25 feet, what is the radius of the cylinder?

Answers

The radius of the cylinder is 2.26 ft

How to calculate the radius of the cylinder?

The cylinder has a volume of 400 cubic feet

The height of the cylinder is 25 feet

The radius of the cylinder can be calculated as follows

radius= √ v/πh

= √ 400/(3.142)(25)

√ 400/ 78.55

= √ 5.09

= 2.26

Hence the radius of the cylinder is 2.26 ft

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What is the integral of 1/(1-x^2)?

Answers

The integral of 1/(1-x^2) is arctan(x).

what is integral?

An integral is a mathematical operation that calculates the area under a curve by breaking it into infinitely small segments and summing them up.

To solve this integral, we use the substitution method with u=1-x^2:

∫1/(1-x2)dx =∫du/u (substitute u=1-x2)
= ln|u| + C (integrate with respect to u)
= ln|1-x2| + C (substitute back in the original expression)
= ln|1-x2| + C (substitute back in the original expression)
= arctan(x) + C (use the identity ln|1-x2| = arctan(x))

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What is the known probability when two events will both occur such that the probabilities of the individual events are from its product?

Answers

Answer:

The probability that two independent events will both occur can be calculated by multiplying the probabilities of the individual events. If event A has probability p(A) and event B has probability p(B), then the probability that both events A and B occur is given by:

p(A and B) = p(A) * p(B)

This relationship holds because the occurrence of event A does not affect the occurrence of event B, and vice versa. Hence, the two events are considered to be independent.

For example, if event A has a probability of 0.6 of occurring and event B has a probability of 0.7 of occurring, then the probability that both events will occur is 0.6 * 0.7 = 0.42.

Ms.Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less then the previous one, how many balls will be on the side length 3 layers down?

I hope some one can solve this quickly, if not thats ok.

Answers

There are 2 balls on the side length 3 layers down in the pyramid.

What is a pyramid?

A pyramid is a three-dimensional figure. It has a flat polygon base. All the other faces are triangles and are called lateral faces.

Given that, Ms. Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less than the previous one,

We need to find the number of balls 3 layers down,

Since, it is given that, there is reducing one balls as going down,

Therefore,

When we will go 3 layers down it will be 3 balls reduced, the layer from where we started is having 5 balls and after coming 3 layers down, the side layer will have = 5-3 = 2 balls.

Hence, there are 2 balls on the side length 3 layers down in the pyramid.

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7/13 as a decimal rounded to the nearest hundredth.

Answers

7/13 as a decimal rounded to the nearest hundredth.

Answer: 0.54

Answer: The answer is 0.54

In this problem you will need to factor a GCF out of the polynomial first. Factor the following polynomial completely. 2k2−8k−90

Answers

2 (k^2 - 4k - 45)
2 (k - 9) (k + 5)

What are examples of continuous variable?

Answers

Answer:

Step-by-step explanation:

Continuous variables are variables that can take on any value within a specified range. Some common examples of continuous variables include:

Height: Height can be measured in inches, centimeters, or any other unit of length and can take on any value within the range of human heights.

Weight: Weight can be measured in pounds, kilograms, or any other unit of weight and can take on any value within the range of human weights.

Age: Age can be measured in years, months, or days and can take on any value within the range of human ages.

Time: Time can be measured in seconds, minutes, or hours and can take on any value within the range of time that can be measured.

Temperature: Temperature can be measured in degrees Celsius, Fahrenheit, or any other unit of temperature and can take on any value within the range of temperatures that can be measured.

Income: Income can be measured in dollars, euros, or any other currency and can take on any value within the range of human incomes.

These are just a few examples of continuous variables. In general, any variable that can take on an infinite number of values within a specified range can be considered a continuous variable.

PLEASE HELPPPPPP!!!!!!!

Answers

Step-by-step explanation:

Looks like this was scaled by 5 because

2 x 5 = 10

4 x 5 = 20

5 x 5 = 25

CAB ..

CA is 5

HJ is 25

AB is 2

JG is 10

CAB = HJG

If f(x) is continuous on a closed interval, then it is enough to look at the points where f'(x) = 0 in order to find its absolute maxima and minima. Be prepared to justify your answer.

Answers

While looking at the critical points of a function f(x) is a useful first step in finding its maxima and minima, it is not enough by itself to determine all of them.

The statement is partially correct. If a function f(x) is continuous on a closed interval, it is possible to find its absolute maxima and minima by looking at the points where f'(x) = 0, but this is not enough to guarantee that you have found all of them.

The reason why this is the case is because the condition f'(x) = 0 only identifies critical points, which are points where the function may have an extremum (either a maximum or a minimum). To determine whether a critical point is indeed a maximum or a minimum, you need to analyze the behavior of the function near the critical point.

One way to do this is by using the second derivative test, which states that if f(x) is twice differentiable and f''(x) > 0 at a critical point x, then f(x) has a local minimum at x. Similarly, if f''(x) < 0 at a critical point x, then f(x) has a local maximum at x.

You also need to use additional tools, such as the second derivative test, to verify whether the critical points are indeed extrema.

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How do I check 3(x+2)+2(x-8)=25?

Answers

Answer:

You check a solution to an equation by replacing the variable in the equation with the value of the solution

Step-by-step explanation:

how do i calculate percentage increase​

Answers

Answer:

The percentage increase can also be calculated using this method. Imagine you have a function that adds the number 1 to a number between 0 and 10, which we call T. Now the percentage of the function's answer will be the percentage increase from T.

[tex]f=1+t\\t=0-10\\d=f\frac{t}{100} = percentage- f- of- t[/tex]

With this method, we obtain the percentage increase of the f function.

Step-by-step explanation:

A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.

If the wheel has a radius of 22 centimeters and a height of 16 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)

15,488 over 7 square centimeters
36,784 over 7 square centimeters
1,936 over 7 square centimeters
340,736 over 7 square centimeters

Answers

The true response would be 15,488/7 square centimeters based on the information provided.

What is Square used for?

Square offers businesses a range of goods and services to help them complete sales transactions, use marketing strategies, and control their finances, inventory, and workforce.

The lateral surface (the curved portion of the cylinder) is added to the areas of a round top and bottom to figure out the surface surface of the cylindrical cheese wheel. The perimeter of the base (2πr, where r is the radius) as well as the height can be used to compute the lateral surface area. Each round top and bottom's surface area is πr².

Hence, the cheese wheel's overall surface area is:

(2πr × h) + (2πr²)

Inputting the values provided yields:

(2 × 22/7 × 22 × 16) + (2 × 22/7 × 22 × 22)

When we simplify and find the total area of the surface, we obtain:

15,488/7 square centimeters

As a result, 15,488/7 square centimeter of the cheese wheel are covered by the label.

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1 and 2 form a linear pair. The
measure
measure
of 2 is six more than twice the
of 1. Find m2

Answers

Answer:

Step-by-step explanation:

a + 2a + 6 = 180

3a = 174

a = 58

2(58) + 6 = 122

Rayheem has
16 shirts
5 pairs of jeans
3 jackets
Rayheem chooses an outfit to wear.
An outfit is 1 shirt, 1 pair of jeans and 1 jacket.
Work out how many different outfits Rayheem can choose.

Answers

Answer:240

Step-by-step explanation:

Tickets for a game cost a dollars for adults and c dollars for children the expression 3a+5c represents the cost in dollars for a family for the game what is the cost for the family when an adult ticket is 13 and a child ticket costs 8$ Relatively simple but my brain is just farting thanks !

Answers

Since an adult ticket costs $13, a child ticket is $8, and expression 3a+5c indicates the price in dollars for a family to attend the game, the total cost is $79 for the event.

what is expression ?

Increasing, partitioning, adding, or reducing are all doable in mathematics. As an example, take this expression: Function is defined, equation, and number The components that compose an algebraic equations are numbers, variables, but rather functions (such as addition, subtraction, multiplication or division etc.) One can differentiate two terms or sentences. The terms "expression" or "algorithmic expression" refer to any detailed estimate that suitable parameter, numbers, or an arithmetic action among both them. For instance, the phrase 4m + 5 consists of the terms 4m but also 5, as well as the number m from the given expression, which are all separated by that of the arithmetic symbol +.

given

expression 3a+5c represents the cost

3a + 5c

=  5 * 8 +  3 * 13

= 39 + 40

= 79

Since an adult ticket costs $13, a child ticket is $8, and expression 3a+5c indicates the price in dollars for a family to attend the game, the total cost is $79 for the event.

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Which one of the following best defines the notion of the significance level of a hypothesis test?
a. The probability of rejecting H_o, whether it's true or not
b. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true
c. The probability of the type I error
d. The probability of the type II error

Answers

C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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in what time will the simple interest on Rs7560 be Rs1102.50 at 25/4% per annum

Answers

The amount of time in which the simple interest on Rs7560 be Rs1102.50 at 25/4% per annum, 5 years

What is simple interest?

Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).

Every time we calculate simple interest the principal values will be the same unlike compound interest.

Formula;    Simple Interest(I) =  P × R × T/100

To find the time it takes for the simple interest on Rs. 7560 to be Rs. 1102.50 at 25/4% per annum, we can use the formula for simple interest:

We are given I = 1102.50 and P = 7560, and the interest rate is 25/4% per annum, which we can convert to a decimal:

r = 25/4% ÷ 100

 = 0.25/4

 = 0.0625

Now, we can substitute the known values into the formula and solve for t:

1102.50 = 7560 x r x t

1102.50 / 7560 = r x t

t = 1102.50 / (7560 x 0.0625)

t = 5 years

So, it will take 5 years for the simple interest on Rs. 7560 to be Rs. 1102.50 at 25/4% per annum.

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it is possible to make a ratio between 2 kg and 3m? write with reason​

Answers

It is not possible to make a ratio between 2kg and 3m, as the measures have different units of measurement.

How to obtain the ratio between two amounts?

The ratio between two amounts a and b is obtained applying a proportion, dividing the amount a by the amount b.

The division can only be calculated if the two amounts have the same unit of measurement, for example, if both are kg or if both are m.

As 2 kg and 3 m have different units of measurement, a ratio cannot be calculated between these two units.

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what is marginal product formula?

Answers

The Marginal product is equal to the difference between the output and the input.

The term "marginal product" refers to the extra output that is created when one more unit of a specific input (such as labour or capital) is added to the manufacturing process while keeping other inputs constant.

The marginal product equation is:

Marginal Product is equal to the difference between the output and the input.

Where:

Change in Total Product (CTP) is the term used to describe how the firm's overall output changes when an additional unit of input is added during the manufacturing process.

The term "change in input" describes how much of an input is changed during the manufacturing process.

To put it another way, the marginal product method calculates the extra output brought on by a unit increase in input.

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What is integral of sin 2

Answers

Sin 2 is the integral of -cos 2 plus c, where c is a constant integration equation sin2x dx = -cos2x + c.

1. Calculate sin 2 integral.

2. Apply the integration equation sin2x dx = -cos2x + c.

3. Increase the outcome by the constant C.

Sin 2 is the integral of -cos 2 plus c, where c is a constant. This integral must be calculated in several steps. Take the integral of sin 2 first. Use the integration formula sin2x dx = -cos2x + c to do this. According to this equation, the integral of sin 2 is equal to cos -2/c plus a certain constant. The next step is to add the constant c to the outcome after using this formula. This will result in the integral of sin 2 having a final value of -cos 2 + c. Any actual number may be used as the constant c, and the value will vary depending on the circumstances. It's crucial to keep in mind that the constant c must always be a part of the outcome.

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Each of these line plots represents a data set.

For each pair of mean and standard deviation, drag the plot into the box at the right that matches those statistics.

Answers

The line plots that represent the data sets are:

Mean = 6, standard deviation = 2 → image 1

Mean = 10, standard deviation = 2 → image 2

Mean = 10, standard deviation = 6 → image 4

What is a line plot?

A line plot is a simple way to display data along a number line. It is used to show the distribution of a set of data by plotting each data point as a dot above its value on the number line. The dots are then connected with a line to create a plot.

Line plots are often used to visualize the frequency distribution of a dataset, particularly when the data is discrete or categorical. They are also useful for identifying outliers and patterns in the data.

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In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histograrn shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. a) Describe the shape. b) How many modes does the histogram have? What might explain that?

Answers

the shape is bimodal and symmetric and  histogram have 38 to 40 and 44 to 46.

If the two peaks are mirror reflections of one another, the bimodal distribution may be symmetrical. symmetrical Cauchy distributions exist. These are not likely to be found in basic statistics. These distributions belong to a family where the anticipated value is hypothetical. the long tails of the logistic distribution. If the data is symmetric but contains more extreme values than one would anticipate from a normal distribution, the logistic and Cauchy distributions are utilized. these different distribution types. It is symmetric for the uniform distribution. Since the odds are same at every location, the distribution is essentially a straight line. The distribution is bimodal and nearly symmetric. There are two modes in the distribution, from 38 to 40 and 44 to 46. The existence of data for both men and women may account for this. Women may prefer the lower mode, whereas males may prefer the upper.

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A group of marine biologists tags 45 great white sharks off the coast of Mexico
to study migratory patterns. All of the tag numbers are unique. Weeks later, the
marine biologists travel to Hawaii. While there, they randomly capture and release
20 great white sharks per day, for three consecutive days. On the first day, 3 of the
sharks have the original tags. On the second day, 2 of the sharks have the original
tags. On the third day, 4 of the sharks have the original tags. Based on the data,
what is the estimated population of great white sharks that have migrated from
Mexico to Hawaii?

Answers

Yall are some cheaters. Quit looking it up on this website like, dang....

Determine the point ths of the way from point A: (3, 2) to point B: (4, -3) shown on the coordinate plane below.

Answers

The point 3/4th of the way from point A to point B is (3.25, -1.25).

What is the coordinate geometry?

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements

To determine the point 3/4th of the way from point A to point B, we can use the midpoint formula to find the coordinates of the midpoint M of the line segment AB, and then use those coordinates to find the point 3/4th of the way from point A to point B.

The midpoint M of the line segment AB can be found using the midpoint formula:

M = ((x1 + x2)/2, (y1 + y2)/2)

where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.

Substituting the given coordinates, we get:

M = ((3 + 4)/2, (2 - 3)/2) = (3.5, -0.5)

Now we can find the point 3/4th of the way from point A to point B by starting at point A and moving 3/4th of the way towards point B. To do this, we can use the following formula:

P = ((1 - 3/4)*x1 + (3/4)*x2, (1 - 3/4)*y1 + (3/4)*y2)

Substituting the coordinates of points A and B, we get:

P = ((1 - 3/4)*3 + (3/4)*4, (1 - 3/4)2 + (3/4)(-3)) = (3.25, -1.25)

Hence, the point 3/4th of the way from point A to point B is (3.25, -1.25).

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What is the percent yield formula?

Answers

Answer:

Step-by-step explanation:

The percent yield formula is used to calculate the efficiency of a chemical reaction in producing a desired product. It is defined as the ratio of the actual yield of a product to its theoretical yield, expressed as a percentage.

The formula for percent yield is:

Percent Yield = (Actual Yield / Theoretical Yield) * 100%

where:

Actual Yield is the amount of product actually produced in the reaction.

Theoretical Yield is the maximum amount of product that could be produced in a reaction under ideal conditions, calculated from the stoichiometry of the reaction.

By using this formula, you can determine how well a reaction is performing and identify areas for improvement to increase the yield of the desired product.

BRAINLIEST
Create your own puzzle problem similar to the problem at the beginning of the lesson. Post your original puzzle on the discussion board.

Original problem: The sum of three numbers is 12. The sum of the first number and the second number is 2 more than the third number. The second number minus the sum of the first number and third number is twice the third number.

Answers

Hence, the three numbers are 8, 1, and 3

Answer:

Here is my original puzzle problem:

* * *

**The Three Coins**

There are three coins, each with a different value. The sum of the three coins is 10. The value of the first coin is twice the value of the second coin. The value of the third coin is 1 more than the value of the first coin.

What are the values of the three coins?

_________________

To solve this puzzle, you can use the following steps:

1. Let X be the value of the first coin.

2. Let Y be the value of the second coin.

3. Let Z be the value of the third coin.

4. Set up equations to represent the given information.

5. Solve the equations for X, Y, and Z.

The equations for this puzzle are as follows:

X + Y + Z = 10

X = 2Y

Z = X + 1

Solving these equations, we find that the values of the three coins are X = 4, Y = 2, and Z = 5.

I hope you enjoy this puzzle!

Name the number system in which only the whole numbers less than 5 are used -​

Answers

The inequality representing the number system in which only the whole numbers less than 5 are used is given as follows:

{x ∈ W| x < 5}.

What are the inequality symbols?

The four inequality symbols, along with their meaning, are presented as follows:

> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.

The inequality representing numbers less than 5 is given as follows:

x < 5.

As the numbers are whole numbers, the inequality is defined as follows:

{x ∈ W| x < 5}.

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secx + tanx = 1

Please solve the problem and show work

Answers

The solution to the equation is x = 0 or x = 2πn, where n is an integer.

How to solve this problem

Starting with the given equation:

sec(x) + tan(x) = 1

We know that sec(x) is equal to 1/cos(x), so we can substitute that in:

1/cos(x) + sin(x)/cos(x) = 1

Combining the two fractions on the left side:

(1 + sin(x))/cos(x) = 1

Cross-multiplying to eliminate the fraction:

1 + sin(x) = cos(x)

Now, we can use the Pythagorean identity to substitute in for sin(x)^2:

1 + (1 - cos(x)^2) = cos(x)

Simplifying:

2 - cos(x)^2 = cos(x)

Rearranging:

cos(x)^2 + cos(x) - 2 = 0

This is a quadratic equation in terms of cos(x), so we can use the quadratic formula:

cos(x) = (-1 ± sqrt(1 + 8))/2

cos(x) = (-1 ± 3)/2

cos(x) = -2 or cos(x) = 1

Since cos(x) can't be negative, we can discard the -2 solution, leaving us with cos(x) = 1. This means that x must be 0 or a multiple of 2π. Checking our work, we can see that when x = 0:

sec(0) + tan(0) = 1 + 0 = 1

So x = 0 is indeed a valid solution.

Therefore, the solution to the equation is x = 0 or x = 2πn, where n is an integer.

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please help

Aaron has two children, Gabriel and Caroline. Gabriel is older than Caroline. The difference of their ages is 5. The sum of their ages is 33.

Let C represent Caroline's age. Let G represent Gabriel's age.
Identify the equations for this situation

gabriel is ____ years old and caroline is ___ years old

Answers

Gabriel is 19 years old and Caroline is 14 years old

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Aaron has two children, Gabriel and Caroline. Gabriel is older than Caroline. The difference of their ages is 5. The sum of their ages is 33.

Let C represent Caroline's age and G represent Gabriel's age.

Hence, We can formulate;

The difference of their ages is 5.

⇒ G - C = 5  .. (i)

The sum of their ages is 33.

⇒ G + C = 33 .. (ii)

Add (i) and (ii);

⇒ 2G = 38

⇒ G = 19 years

And, From (i);

⇒ G - C = 5

⇒ 19 - C = 5

⇒ 19 - 5 = C

⇒ C = 14 years

Thus, Gabriel is 19 years old and Caroline is 14 years old.

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Other Questions
a solid conducting sphere (or a disk in two dimensions) is charged positively. describe what the distribution of these charges is after they come to equilibrium. drawing a picture would be helpful. Stockmann, a Finnish company, is planning to transfer internal data records on Russian citizens to facilities in Russia. The action is necessary for Stockmann now that Russia has implemented legislation requiring that companies doing business in Russia must house all data about Russian citizens on local soil and protected by Russian encryption.Imagine you have been hired to advise the Chief Compliance Officer on ways to improve the companys rate of ethical compliance. What do you recommend? Check all that apply.Create a penalty system for ethical infractions.Develop a code of conduct.Provide training in ethics.Create warning posters threatening disciplinary action for noncompliant employees.Appoint an ethics committee. Given the following cash inflow at the end of each year, what is the future value of this cash flow at 5%, 8%, and 17% interest rates at the end of year 7? What is the future value of this cash flow at 5% interest rate at the end of year 7? Why are the supreme court cases of brown v. board of education and mendez v. westminster important to education in the united states? How do you make an op Cleaver in tinkers construct? In order to reduce your end-of-season inventory of gloves, you create grab bags that each contain 2 pairs of gloves. You have 20 pairs of lined gloves that cost $25 and 100 pairs of knit gloves that cost $12. Your assistant made 60 grab bags wheres 2 bags have two pairs of lined gloves 16 bags have one pair of lined gloves and one pair of knit gloves and 42 bags have two pairs of knit gloves.Compute the expected value of each grab bag the assistant made, rounded to the nearest 50.01_________If you sell these for $29.99 and sell all 60 grab bags, how much total profit will you make? Give your answer to the nearest 50.01 In a combination reaction, 2.07 g of magnesium is heated with 9.05 g of nitrogen. How many moles of product are formed? Assume the reaction goes to completion. I need help its 9th grade algebra 1 What did Went's experiments with the gelatin block demonstrate? A. Plants cannot be induced to bend during growth unless they are exposed to an indirect source of light. B. Light induces the coleoptile to produce a diffusible substance that moves to the growing region of a plant where it stimulates cells to elongate. C. Gelatin can enhance the movement of a soluble factor from the growing region of a plant to the coleoptile where it accelerates growth. D. When a plant tip is removed from a growing plant, the plant acquires the ability to bend toward the light. Do the ventricles fill during ventricular diastole? the accounting equation determine the missing amount in each of the following cases: stockholders' assets liabilities equity $112,500 $69,000 answer answer 15,750 31,500 65,250 answer 45,750 Which of these ecosystems has the lowest primary productivity per square meter?A Salt marshB Open oceanC GrasslandD Tropical forest the common 9 volt battery imparts how much energy to one coulomb of charge? Industrialization impacted both socialismand communism in what way?A. It fostered a free and open business platform in socialist andcommunist economies.B. It gave strength and legitimacy government ownership ofbusiness.C. It allowed communism and socialism to create capitalism.D. It fostered Capitalist ideas of private ownership of businessand a free market. Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. Suppose that P(A) = 0.7 and P(B) = 0.4.A. Could it be the case that P(A B) = 0.5? Pick one:i. Yes, this is possible. Since B is contained in the event A B, it must be the case that P(B) P(A B) and 0.5 > 0.4 does not violate this requirement.ii. Yes, this is possible. Since A B is contained in the event B, it must be the case that P(B) P(A B) and 0.5 > 0.4 does not violate this requirement.iii. No, this is not possible. Since B is equal to A B, it must be the case that P(A B) = P(B). However 0.5 > 0.4 violates this requirement.iiii. No, this is not possible. Since B is contained in the event A B, it must be the case that P(A B) P(B). However 0.5 > 0.4 violates this requirement.v. No, this is not possible. Since A B is contained in the event B, it must be the case that P(A B) P(B). However 0.5 > 0.4 violates this requirement.B. From now on, suppose that P(A B) = 0.3. What is the probability that the selected student has at least one of these two types of cards?C. What is the probability that the selected student has neither type of card?D. In terms of A and B, the event that the selected student has a Visa card but not a MasterCard is A B' . Calculate the probability of this event.E. Calculate the probability that the selected student has exactly one of the two types of cards. Forming Storming Adjourning Performing Norming Match Each Of The Options Above To The Items Below.A. Members Aren't Very Trusting Of One Another, They Are Spending Time Assessing What Their Contribution Will Be To This Particular Group As This Is Currently Unclear. B. Members Seem To Be Coming Out Of Their Shells, Grouping Into Small Alliances, And een arguing about the group's goalsC. Members decide on their regular meeting days/times, rules about tardiness or non-attendance, and set expectations regarding how they will interact with one anotherD. Members of your 8-person team break off into smaller groups of 2 or 2 and work on mel sub-groups individual tasksE. Members get together to discuss what they have learned and to share memories Which defensive strategy makes the insect hard to see? a) Venom Glands b) Aposematic Coloration c) Crypsis d) Batesian Mimicry Please help me with this. I would appreciate it(Q005) What Enlightenment ideas do you find most compellling, or the most important to the development of "America"? How did printing technology affect the spread of Enlightenment ideas? What evidence from the documents supports your claim? Consider a quantum channel of a single qubit. This can be represented as a map between the Bloch sphere polarization vectors before the operation () and after the operation (P) P = (). P+c, where () is a 3 x 3 real matrix, and is a constant vector. Suppose we would like to learn the properties of this channel, i.c. () and c, by feeding it many pre-prepared qubits and measure the outcomes. In particular, suppose we can measure the polarization vectors P accurately. 1. Supposc wc prepare a set of qubits in state (0) and let them go through the channel. What can we learn about O and after measuring the resulting P'? 2. Design a set of measurements (for example, starting qubits with different initial states) so that we can measure O and i completely. what president first recognized black history month and what year?