The composite figure is made up of a triangle, a square, and a trapezoid. Findthe area.

The point and line are undefined terms that is used to define a ray.

A ray is a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.

One direction from a starting point, e.g., \(\boxed{\overrightarrow{PQ}}\).

The arrow above the point shows the direction of the longitudinal beam. The length of the ray cannot be calculated.

Undefined terms are basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

Thus, the point and line are undefined terms that is used to define a ray.

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Which pair of undefined terms is used to define a ray?

A. line and plane

B. plane and line segment

C. point and line segment

D. point and line

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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Answer:

Try and start at the line?

Step-by-step explanation:

Answer: 248 miles

Step-by-step explanation: The equation is x+2x+2x-60 where x is the mom and 2x is Dad and since dad drove 60 miles more than alex then Alex drove 60 miles less than dad so 2x -60 is alex. Altogether x+2x+2x-60 = 560 total miles driven and solved is x = 124 however x is just the mom. The dad drove twice as much so we have to double 124 or multiply by 2 to get the amount The dad drove which is 124*2= 248 miles

Answer:

slope = -10

Step-by-step explanation:

Answer:

15 months

Step-by-step explanation:

Let's x represent the number of months

We Know

Phillip has $100 in the bank and deposits $18 per month.

18x + 100

Gil has $145 in the bank and deposits $15 per month.

15x + 145

For how many months will Gil have a larger bank balance than Phillip?

Let's solve

15x + 145 > 18x + 100

-3x + 145 > 100

-3x > -45

x < 15

So, for 15 months, Gil has a larger bank balance than Phillip.

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

Step-by-step explanation:

Answer:

its 3.348 - crown pls

Step-by-step explanation:

easiest way of doing this is multiplying the total by the known number then put that number on top. After that divide and check if its right

Answer:

x= -22/5 or -4.4

Step-by-step explanation:

Step 1- Collect like terms.

(2x-7x)-8= (10+4)

-5x-8= 14

Step 2- Add 8 to both sides.

-5x-8= 14

    +8  +8

-5x= 22

Step 3- Divide to both sides.

-5x= 22

-5    -5

x= -22/5 or -4.4

Answer:

there are 720 cm in 7.2 meters

Step-by-step explanation:

The number of bags that Sasha would need to fill the space around the photo box is 9 bags.

The first step is to determine the volume of the photo box. The photo box has the shape of a cuboid. A cuboid is a three-dimensional object. It has six sides and six vertices.

Volume = length x width x height

12.5 x 4.2 x 12.5 = 656.25

Bags needed - 656.25 / 75 = 9

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It would take approximately 2.86 gallons of standard interior latex paint to cover 1000 square feet with one coat, but this estimate may vary depending on several factors.

To determine the amount of paint needed to cover 1000 square feet, several factors must be considered, including the type of paint being used, the surface being painted, and the number of coats required.

Assuming a standard interior latex paint with a coverage rate of approximately 350 square feet per gallon, it would take approximately 2.86 gallons of paint to cover 1000 square feet with one coat. However, it is important to note that this is just an estimate and may vary depending on the specific circumstances of the project.

Factors such as the porosity and texture of the surface being painted, as well as the color and quality of the paint being used, can all affect the coverage rate. Additionally, if multiple coats are required or if there are areas that require more than one coat for complete coverage, more paint will be needed.

It is always recommended to consult with a professional painter or refer to the manufacturer's instructions for specific guidance on how much paint is needed for a particular project.

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The required number of items that should be manufactured so that the profit, R(x)−C(x), is maximum is approximately 63 items.

The profit equation for the given scenario can be calculated using the below formula;

Profit (P) = Total Revenue (TR) – Total Cost (TC)

We are given the revenue equation as R(x) = 30 ln(2x+1) and cost equation as C(x) = x/3.

Substituting these values into the profit equation, we get the profit equation as below;

P(x) = R(x) - C(x) = 30 ln(2x+1) - x/3

To find the maximum profit, we need to differentiate the above equation and equate it to zero.

This is because a maximum or minimum value for any equation is obtained when its derivative is equal to zero.

So, let's differentiate the above equation;

P’(x) = (30 / 2x+1) - 1/3

On equating the derivative of P(x) to zero and solving for x, we can get the value of x for which P(x) is maximum.

The steps are as follows;

(30 / 2x+1) - 1/3 = 0(30 / 2x+1) = 1/3x = 63 items

Therefore, the approximate number of items that should be manufactured so that the profit, R(x)−C(x), is maximum is 63 items.

Therefore, the required number of items that should be manufactured so that the profit, R(x)−C(x), is maximum is approximately 63 items.

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The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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The function that represents the data in the table is 3x²+2. The correct answer is B.

The quadratic function is shown in the data table.

We must ascertain the function's equation.

The quadratic equation's generic form is

Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).

We therefore have;

a+b+c =5——— (1)

4a+2b+c= 14——— (2)

9a+3b+C =29------(3)

When (2) is subtracted from (1), we have;

9= 3a+b(4)

Subtracting (3) from (2) gives us;

15= 5a +b(5)

Subtracting (5) from (4) gives us;

6= 2a

3= a

As a result, the value of an is 3. When we replace this value in equation (4), we obtain;

3(3)+b= 9

b= 0

When a = 3 and b = 0 are substituted in equation (1), we obtain;

a+b+c =5

3+0+c=5

c=2

As a result, c has a value of 2.

As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;

3x²+2

Consequently, the function that symbolizes the information in the table is 3x²+2

As a result, Option B is the right response.

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Answer:

The answer is c.

Step-by-step explanation:

From the question, we can see that we have two box-and-whisker plots. One of them represents the test score for Jake and the other the test scores of Ryan.

In a box-and-whisker plot, we have the following information:

We can see the following information from Jake and Ryan as follows:

The interquartile range (IQR) is the difference between Q3 and Q1.

• Median = about 86

• First Quartile (Q1) = 80

• Third Quartile (Q3) = 90

• Interquartile range (IQR) = Q3 - Q1 = 90 - 80 = 10

• Median = 75

• First Quartile (Q1) = 70

• Third Quartile (Q3) = 85

• Interquartile range (IQR) = Q3 - Q1 = 85 - 70 = 15

Now, in summary, therefore, we can say that:

• Ryan's median test score (75) is ,less than, Jake's median test score (86).

• The interquartile range of Ryan's test score (15) is ,greater than, the interquartile range of Jake's test scores (10).

[Hence, we have to select less than in the first part of the question, and greater than in the second part of the question.]

Answer:

the rate of change is 2 percent per exam

Step-by-step explanation:

Answer:

The rate of change is 2 percent per exam.

Step-by-step explanation:

:)

The area of the largest rectangle is 46.47 square root.

Consider a semi-circle with a rectangle ABCD inscribed in it.

Let, O = centre of the semi-circle

A and B lies on the base of the semi-circle

OA = OB = x

D and C lie on the semi-circle

BC = AD = y

AB = CD = 2x

By Pythagorean theorem,

CB² + OB² = OC²

⇒ y² + x² = (6)²

⇒ y² = 36 - x²

⇒ y = √(36 - x²)

Now, area of rectangle in terms of x,

Area, A = 2x × y

= 2x × √(36 - x²)

Differentiating,

A' = 2 × √(36 - x²) - 2x²/(36 - x²)

When x = 0, y = 6 and when x = 6, y = 0, area = 0.

It implies that area is maximum when the value of x lies between 0 and 6.

This will occur where A’ = 0.

⇒ 2 × √(36 - x²) - 2x²/(36 - x²) = 0

⇒ 2 × √(36 - x²) = 2x²/(36 - x²)

On simplification, we get,

⇒ 2 × (36 - x²) = 2x²

⇒ 36 - x² = x²

⇒ 2x² = 36

⇒ x² = 36/2

⇒ x = √36/2

Now, y = √(36 - x²) becomes

⇒ y = √(36 - (√36/2)²)

⇒ y = √(36 - 36/2)

⇒ y = √(96 - 36)/2

⇒ y = √60/2

Maximum area = 2xy

= 2(√36/2)(√60/2)

= 46.47

Therefore, the area of the largest rectangle = 46.47 square units.

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Chad drank 6.4 liters of water altogether. He drank 2.3 liters of water before going jogging on Monday and 3.8 liters of water after jogging.

Water is an essential substance that plays an important role in the human body. It is crucial to drink enough water to maintain the body's normal function. In this problem, we need to determine the total amount of water Chad drank on Monday. According to the problem, Chad drank 2.3 liters of water before going jogging. After the jog, he drank 3.8 liters of water.

To find the total amount of water Chad drank, we need to add the amount of water he drank before and after the jog. Therefore, the total amount of water Chad drank on Monday is 2.3 liters + 3.8 liters = 6.1 liters.

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Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

put 12.4* 20 and you get D

To show that a tree has at most   \(n/2\)many vertices that have degree 3 or higher, we will use proof by contradiction.

Assume that there exists a tree with more than \(n/2\) vertices that have a degree of 3 or higher. Let V be the set of vertices in the tree, and let \(V_3\) be the set of vertices in V that have a degree 3 or higher. Let k be the number of vertices in\(V_3.\)

Since the tree has n vertices, there are n-k vertices in V that have degree 1 or 2. Since each vertex in the tree has degree at least 1, we have \(n-k ≤ n\), which implies that k ≥ 0.

Now, consider the sum of degrees of all vertices in the tree. By definition of a tree, this sum is twice the number of edges in the tree, which is n-1. Therefore, we have:

\(2(n-1) = Σ_degrees\)

where \(Σ_degrees\) is the sum of degrees of all vertices in the tree.

Let d_i be the degree of the i-th vertex in V_3. Since each vertex in V_3 has degree 3 or higher, we have d_i ≥ 3 for all i. Therefore, the sum of degrees of vertices in V_3 is at least 3k.

Let m be the number of vertices in V that have degree 1 or 2. Let d_j be the degree of the j-th vertex in V that has degree 1 or 2. Since each vertex in V that has degree 1 or 2 has degree at most 2, we have d_j ≤ 2 for all j. Therefore, the sum of degrees of vertices in V that have degree 1 or 2 is at most 2m.

Since V is the disjoint union of \(V_3\) and the set of vertices in V that have degree 1 or 2, we have:

\(Σ_degrees = Σ_{i=1}^k d_i + Σ_{j=1}^m d_j\)

Combining the inequalities \(3k ≤ Σ_{i=1}^k d_i and Σ_{j=1}^m d_j ≤ 2m, we get:\\Σ_degrees ≥ 3k + Σ_{j=1}^m d_j ≥ 3k\)

where the last inequality follows from for all j.

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Answer:

Step-by-step explanation:

-109f

Answer:

c = 33

Step-by-step explanation:

23 + 2/3c = 45

Subtract 23 from oth sides

2/3c = 22

multiply both sides by 3/2

c = 33

Answer:

There are 16 nickels, 7 dimes, and 9 quarters.

Step-by-step explanation:

Aight, so lets set dimes as "x". Since there are 2 more quarters than dimes, quarters is "x+2". And since nickels is equal to dimes plus quarters, nickels takes the role of "(x+2)+x". We can simplify this by adding x and x together, so nickels is "2x+2" In this example, I'm converting these variables to cents, since it's easier than converting to dollars. Since a dime is 10 cents, 10 times x is"10x". Quarters are worth 25, so first we do x times 25 (25x) and then 2 times 25 (50). Then nickels. 2x+2 times 5 is 10x + 10. Alright, so now we have our cent values. $3.75 is 375 cents, so now we can make an equation:

10x + 25x + 50 + 10x + 10 = 375 cents.

I'm guessing you already know how to solve an equation, first combine like terms, then figure out how many times the variable goes into the numerical value. You should end up with 7, which is dimes. If we go back to our problem, we see that there are 2 more quarters, so 7+2= 9 quarters. As for nickels (9+7) there are 16 nickels.

There's probably a more efficient way to do this, but since I'm so... uh... inefficient, this is the best explanation I can do :p

Answer:

16 nickels 7 dimes 9 quarters

Step-by-step explanation:

im just that smarttttttt lol!! hope this helped

Answer:

The unit rate is 3:1: Demi solves 3 questions every minute.

Step-by-step explanation:

A simple way to find this is to device the questions by the time taken.

30 ÷ 10 = 3

Answer:

Step-by-step explanation:

(6-4)/2= 2/2= 1

(7-3)/2= 4/2= 2

(1, 2)

Consider the below below figure is attached with this question.

Given:

M is the midpoint of LN.

N is the midpoint of MO.

To prove:

LM=NO​ (instead of LM=MO).

Solution:

It is given that, M is the midpoint of LN. So,

\(LM=MN\)             ...(i)

N is the midpoint of MO. So,

\(MN=NO\)             ...(ii)

Using (i) and (ii), we get

\(LM=NO\)

Hence proved.