Rote tells the little monsters to do an overhead press every 12 seconds and a squat every 30 seconds. (For example, they should do their first squat 30 seconds into the drill.) How many times during the 200 second drill should the little monsters do an overhead press and a squat at the same instant?

Answers

Answer 1

The little monsters will do an overhead press and a squat at the same instant 3 times during the drill.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilising operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Rote tells the little monsters to do an overhead press every 12 seconds and a squat every 30 seconds.

The prime factorization of 12 is 2² x 3, and the prime factorization of 30 is 2 x 3 x 5.

To find the smallest common multiple, we need to take the highest power of each prime factor that appears in either factorization. Thus, the smallest common multiple of 12 and 30 are:

2² x 3 x 5 = 60

This means that the little monsters will do an overhead press and a squat at the same instant every 60 seconds.

To find out how many times this will happen during the 200-second drill, we can divide 200 by 60:

200 ÷ 60 = 3 remainder 20

This means that there will be 3 complete cycles of both exercises during the 200-second drill, with an additional 20 seconds left over.

Therefore, the little monsters will do an overhead press and a squat at the same instant 3 times during the drill.

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Related Questions

What is the value of X? HELP ME PLEASE:) THIS QUESTION IS HARD WHATS THE ANSWER

Answers

Answer:

96 because 60 plus 36 equals 96 and value means add but if your multiplying the answer would be 2160

Step-by-step explanation:

Adolfo LaRosa obtained an installment loan of $6.800 to help pay his college tuition. Student loans do not
require a down payment. He obtained the loan from a local bank and agreed to repay the loan in 24 monthly
payments at an 18% APR.

Answers

Answer:

To calculate the monthly payment for an installment loan, we can use the formula:

M = P * r * (1 + r)^n / [(1 + r)^n - 1]

where:

M = monthly payment

P = principal (amount borrowed)

r = monthly interest rate (annual interest rate divided by 12)

n = total number of payments

In this case, Adolfo borrowed $6,800, and the loan is to be repaid in 24 monthly payments at an 18% APR. First, we need to calculate the monthly interest rate:

r = 18% / 12 = 0.015

Next, we can substitute the given values into the formula:

M = 6,800 * 0.015 * (1 + 0.015)^24 / [(1 + 0.015)^24 - 1]

M ≈ $342.03

Therefore, the monthly payment for Adolfo's installment loan is approximately $342.03.

Step-by-step explanation:

Answer:$342.03.

Step-by-step explanation:

graph the line y= -2x- 3​

Answers

Answer:

i hope this helps

Step-by-step explanation:

Answer: the line will go through (0, -3) and for every x value it will go down one

Step-by-step explanation:

Example: (0, -3), (1, -5), (2, -7)

Select all of the expressions that are equivalent to (9x+6)-¹(8x-4).
M. 2(x + 1)
R. 2x+6
R. 2x + 2
S. 2(x + 3)
T. 8x

Answers

The expression that is equivalent to 2(9x+6)/3-(8x-4)/2 is 8x, the correct option is T.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The function=2(9x+6)/3-(8x-4)/2.

Now,

First, let's simplify the expression given:

2(9x+6)/3 - (8x-4)/2 = (18x + 12)/3 - (4x - 2) = 6x + 4 - 2x + 1 = 4x + 5

Now let's check which of the given expressions are equivalent to 4x + 5:

M. 2(x + 1) = 2x + 2 (not equivalent)

R. 2x+6 (not equivalent)

R. 2x + 2 (not equivalent)

S. 2(x + 3) = 2x + 6 (not equivalent)

T. 8x = 8x - 40 + 45 = 4x + 5 (equivalent)

Therefore, the answer of the given expression will be 8x.

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somebody helppppppppppppppppppppppppp

Answers

Hope this helps! The answer is 44.

Need help fast 24 pts and the brainliest

Answers

Answer:

65

Step-by-step explanation:

All 4 sides of a polygon equals 360 degrees. We are given the equation of 2 sides to find the degree.

12x + 19 + 8x + 1 = 180

(We put it equal to 180 instead of 360 since we are only given 2 sides)

Subtract 19 from both sides

12x + 8x + 1 = 161

Subtract 1 from both sides

12x + 8x = 160

Add 12x + 8x

20x = 160

Divide 20x by 160

x = 8

Plug in x value to (8x + 1)

(8(8) + 1)

= 65

EXCERSIZE 2 Eastern Cape Sept V2 2013 Anver, who recently lost his job, decided to start his own rental car (taxi) business. Anver was paid a round sum of money of R400 000 from his previous employer. He used some of this money to pay a 15% deposit on a vehicle to the car dealer. After doing some research, he decided to buy a Toyota Quantum 2.5D-4D 14-seater passenger van. 1.1 r PH M'S Price: R392 900 Interest rate: Prime rate + 1% Term: 72 months ​

Answers

The answer of the question based on monthly installment is Anver's monthly installment is R6 253.27.

What is Formula?

In mathematics,  formula is  set of symbols or expressions representing mathematical relationship or the rule. Formulas are often used to describe and solve the problems in mathematics, science, engineering, and other fields.

To determine the amount of the loan, we can calculate 85% of the price of the van, which is the amount that Anver would have to borrow after paying the 15% deposit:

Amount of loan = 85% of R392 900

= 0.85 x R392 900

= R333 965

To determine the monthly installment, we need to use the formula for the present value of an annuity:

PV = PMT x (1 - (1 + r/n)^(-nt)) / (r/n)

We can calculate the annual interest rate by adding 1% to the prime rate. According to the South African Reserve Bank, the prime rate in September 2013 was 9%.

Annual interest rate = prime rate + 1%

= 9% + 1%

= 10%

Therefore, we can substitute the given values into the formula:

PV = R333 965

r = 10% / 12 = 0.8333%

n = 12

t = 72 / 12 = 6

Rearranging the formula to solve for PMT, we get:

PMT = PV x (r/n) / (1 - (1 + r/n)^(-nt))

Substituting the values, we get:

PMT = R6 253.27 (rounded to two decimal places)

Therefore, Anver's monthly installment is R6 253.27.

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A college professor randomly selects 10 of the 28 students in his statistics class and finds that
8 of them have part-time jobs in addition to being a full-time student.

He would like to construct a 90% confidence interval for the true proportion of students in his class who have part-time jobs in addition to being a full-time student.

Random condition:
✔ met

10% condition:
✔ not met

Large counts condition:
✔ not met

Are the conditions for inference met?
✔ no

(No one asked the question nor provided an answer, so here yous go FOR !!!!!EDGE2023!!!!!!!)

Answers

Answer:im confused

Step-by-step explanation:

Random condition:

✔ met

10% condition:

✔ not met

Large counts condition:

✔ not met

Are the conditions for inference met?

✔ no

Find the coordinates of the center and the measure of the radius for a circle whose equation is x^2+(y-5)^2=64

Answers

From the equation x²+ (y-5)² = 64, the coordinates of the center of the circle are (0, 5), and the radius of the circle is 8 units.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The given equation of the circle is in the standard form -

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

Comparing this standard form with the given equation, we get -

(x - 0)² + (y - 5)² = 8²

So the center of the circle is (0, 5) and the radius is 8.

Therefore, the center of the circle is (0, 5), and the radius is 8 units.

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A sample of 80 high school drama club and art club students were surveyed to choose a favorite free-time activity: playing computer games, listening to music, or watching movies/TV. 50% of the sample is art club students. From the sample, it is found that 18.75% were art club students who prefer playing computer games and 16.25% were art club students who prefer watching movies/TV. 5% were drama club students who prefer playing computer games, while 20% were drama club students who prefer watching movies/TV. 36.25% of the students surveyed chose watching movies/TV. Which of the following is a correct two-way relative frequency table for the data?

Answers

Correct two-way relative frequency table for the data is option A.

Describe Frequency table?

A frequency table is a way to organize and display data in a table format by showing the number of times a certain data point or category appears in a given dataset. It is used in statistics and data analysis to quickly and easily understand the distribution of a set of data.

A frequency table typically consists of two columns: the first column lists the categories or data points, and the second column lists the frequency or count of each category. The categories can be anything from numbers to words, but they should be mutually exclusive and exhaustive, meaning that each data point should fit into one and only one category, and all possible data points should be included in the table.

Frequency tables are commonly used to represent categorical data, such as survey responses, demographic data, and results of experiments. They are also useful for visualizing patterns and trends in the data, such as the most common or rare categories, and can be used to calculate various statistical measures, such as percentages, proportions, and averages.

The correct answer is:

                                    Playing        Listening      Watching         Row Totals

                                    Computer   to Music        Movies/TV

                                    Games      

Drama Club Students 5%            25%          20%          50%

Art Club Students         18.75%     15%          16.25%          50%

Column Totals         23.75%     40%          36.25%          100%

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The complete question is:

twenty-four percent of 10,000 is what number?

Answers

Answer:

24% of 10,000 is 2,400.

Step-by-step explanation:

To find out what number is 24% of 10,000, we can multiply 10,000 by 24% (or 0.24):

Number = 10,000 x 0.24

Number = 2,400

Therefore, 24% of 10,000 is 2,400.

Answer:

 2,400  

Step-by-step explanation

:24% of 10,000 = 24% × 10,000 = 24/100 × 10,000 = (24 ÷ 100) × 10,000 = 24 × 10,000 ÷ 100 = 240,000 ÷ 100 =

When Mr. Farrell preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Answers

The oven will heat up by 18 degrees in 1 minute at this rate.

What is the rate of change?

The term "rate of change" refers to how fast a quantity is changing with respect to time, or some other independent variable.

If the oven's temperature rose 3 degrees in 1/6 of a minute, we can find the rate of temperature increase by multiplying both sides by 6 to get:

3 degrees / (1/6 minute) = 18 degrees/minute

Hence, the oven will heat up by 18 degrees in 1 minute at this rate.

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what is mantissa in maths​

Answers

Answer:

Step-by-step explanation:

caca

The mantissa is the fractional part of a common logarithm (that is, the base 10 logarithm), which represent the digits of the given number but not its order of magnitude.

Which is the distance between parallel lines with the equations y = -1/3x +3 and y =-1/3x -7

Answers

The distance between the parallel lines y = -1/3x + 3 and y = -1/3x - 7 is approximately 9.49 units.

How do parallel lines work?

A parallel line is a pair of lines that never cross and are always spaced at the same distance apart. The y-intercepts are different, but they have the same slope. In other terms, two lines are parallel if they have the same slope but distinct y-intercepts. Due to their role in defining and producing forms like rectangles, parallelograms, and trapezoids, parallel lines play a crucial role in geometry and trigonometry. In the actual world, parallel lines are also used in things like roads, railroad tracks, and electrical cables.

The standard equation of the line is given as:

y = mx + c

where, m is the slope.

c is the y-intercept.

Comparing the equation with the given equation we have the slope of the parallel lines as:

y = -1/3x +3 and y =-1/3x -7

slope = m = -1/3

y-intercept of 1st line = (0, 3)

y-intercept of the 2nd line = (0, -7)

The distance between two parallel lines is the perpendicular distance between them.

To calculate the perpendicular distance we find the equation of the perpendicular line.

The slope of the perpendicular line is negative reciprocal of the slope of the two given lines, which is 3.

The point-slope form is:

y - y1 = m(x - x1)

Substituting the values:

y - 3 = 3(x - 0)

y = 3x + 3

The intersection of this perpendicular line with the other line.

3x + 3 = -1/3x - 7

10/3x = -10

x = -3

Substituting x = -3 into either equation of the parallel lines gives:

y = -1/3(-3) - 7 = -6

Using the distance formula we have:

d = √((x2 - x1)² + (y2 - y1)²)

d = √((-3 - 0)² + (-6 - 3)²)

d = √(9 + 81)

d = √(90)

d ≈ 9.49

Hence, the distance between the parallel lines y = -1/3x + 3 and y = -1/3x - 7 is approximately 9.49 units.

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The scale of the model is 1 inch = 9 feet. The fountain at the center of the city is 18 1/2 feet wide. How wide is the fountain in the model

Answers

Therefore , the solution of the given problem of unitary method comes out to be  fountain's diameter in the model is roughly 2.0556 inches.

What is an unitary method?

The measurements taken from this nanosecond variable section must be multiplied by two in order to complete the task using the unitary technique. In essence, the characterised by a group and the colour sections are both removed from the unit expression method when a desired object is present. For example, 40 pens with a variable price would pay Inr ($1.01).

Here,

We can use proportionality to determine the breadth of the fountain in the model if the scale is 1 inch = 9 feet. The following percentage can be configured:

Model fountain width divided by one inch equals actual fountain width multiplied by nine feet.

The diameter of the fountain is stated to be 18 1/2 feet in real life, which is the same as 18.5 feet. Adding this number to the proportion results in:

1 inch of the model fountain's diameter divided by 18.5 feet by 9 feet

If we simplify, we get:

diameter of the model's fountain / 1 = 2.0556

By dividing the two edges by one inch, we obtain:

Modeled fountain width is 2.0556 inches.

As a result, the fountain's diameter in the model is roughly 2.0556 inches.

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Describe the conditions that would create an ambiguous case with two possible solutions.

Answers

In order to resolve the ambiguity and find the correct solution, we need to use additional information such as the Law of Sines or the Law of Cosines.

what is a Triangle ?

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

An ambiguous case in geometry refers to a situation where, given certain information about a triangle, there are two possible solutions for one of the unknown angles or sides. This situation arises in trigonometry when we have to solve a triangle using the Law of Sines or the Law of Cosines.

The conditions that create an ambiguous case with two possible solutions are as follows:

Given two sides and an angle opposite one of the sides:

If we are given two sides and an angle opposite one of the sides, there can be two possible solutions for the triangle. For example, if we are given side lengths of 4 and 5, and an angle of 40 degrees opposite the side of length 4, there are two possible triangles that can be formed.

Given two angles and a side opposite one of the angles:

If we are given two angles and a side opposite one of the angles, there can be two possible solutions for the triangle. For example, if we are given angles of 30 degrees and 60 degrees, and a side length of 4 opposite the 30-degree angle, there are two possible triangles that can be formed.

In both of these cases, the ambiguous case arises when the given information is not sufficient to uniquely determine the triangle.

Therefore,  In order to resolve the ambiguity and find the correct solution, we need to use additional information such as the Law of Sines or the Law of Cosines.

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I’ll give more points!! A
C
Find the mAB
1040
1260
B
D

Answers

Answer:I’ll give more points!! A

Step-by-step explanation:I’ll give more points!! A

C

Find the mAB

can someone tell me the answers to b. and c.

Answers

1. The Range of Elevation for Long beach is 367 feet.

2. The Range of Elevation for New Orleans is 33 feet.

3. New Orleans have the average of 2 feet below sea.

What is Range?

In statistics, the range is the difference between the highest and lowest values for a given data collection.

Given:

1. The Range of Elevation for Long beach

= Highest - Lowest

= 360 - (-7)

= 360 + 7

= 367 feet

2. The Range of Elevation for New Orleans

= Highest - Lowest

= 25- (-8)

= 25+ 8

= 33 feet

3. New Orleans have the average of 2 feet below sea.

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Can someone help I lost my brain cells xd 7 only

Answers

Answer: 81.75

Make 7 an improper fraction:

[tex]\frac{109}{12}[/tex] = [tex]\frac{k}{9}[/tex]

(9)(109) = 12k

981 = 12k

k = 81.75

Help with part 2 please

Answers

The blanks when completes are:

The value of 6x - x² increases from 0 at x = 0 to 9 at x = 3, then decrease back at x = 6. Also, the values are 0 for x = 0...

How to complete the blanks

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table of values, we can see that

The function increases from x = to to x = 3The function decreases from 3 = to to x = 5

This means that the values that complete the blanks are increase, decrease and 0

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Simplify expression 6+(-4)(2-3)^2=

Answers

Step-by-step explanation:

=6+(-4)(2-3)²

=6+(-4)(-1)²

=6-4×1

=2

Use matrices A, B, C, and D. Find each scalar product, sum, or difference.

A-2B

Answers

We can write the equivalent value of the matrix {A - 2B} as -

[9    2]

[2    6]

[3   -10]

What are matrices?

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Given are the matrices as given in the equation.

We can write the elements for {A - 2B} as -

A{ 1 } = 3 + 6 = 9

A{ 2 } = 4 - 2 = 2

A{ 3 } = 6 - 4 = 2

A{ 4 } = - 2 + 8 = 6

A{ 5 } = 1 + 2 = 3

A{ 6 } = - 10

So, we can write the matrix as -

A - 2B =

[9    2]

[2    6]

[3   -10]

Therefore, we can write the equivalent value of the matrix {A - 2B} as -

[9    2]

[2    6]

[3   -10]

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The box plot displays the number of push-ups completed by 9 students in a PE class.

A box plot uses a number line from 9 to 45 with tick marks every 2 units. The box extends from 17.5 to 40.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 42. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.

Which of the following represents the value of the lower quartile of the data?

42
40.5
17.5
10

Answers

Given that 17.5 is the bottom end of the box, the lower quartile's value equation (Q1) must fall between 17.5 and 30. Hence, the appropriate response is 17.5

What is equation?

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

25% of the data fall inside the lower quartile (Q1), which is represented by that number. Q1 is situated near the bottom of the box in the box plot.

According to the description, the box's boundary is at 30, and its size ranges from 17.5 to 40.5 on the number line. As a result, the median value of the middle 50% of the data is 30, with a range of 17.5 to 40.5.

There are some data points outside the middle 50% since the lines outside the box finish at 10 and 42.

Given that 17.5 is the bottom end of the box, the lower quartile's value (Q1) must fall between 17.5 and 30. Hence, the appropriate response is

17.5

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Solve the following equation by completing the square.

Answers

Solving the equation by completing the square gives the solution as;

x = (6, -10)

How to solve equation by completing the square?

The equation we are given to complete the square is;

x² + 4x = 60

Add half the square of half of the coefficient of x to both sides to get;

x² + 4x + (4/2)² = 60 + (4/2)²

x² + 4x + 4 = 64

Writing left hand side as a perfect square gives;

(x + 2)² = 64

Taking square root of both sides gives;

x + 2 = ±8

x = -2 ± 8

x = (6, -10)

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Consider the following piece wise function:
Evaluate the expression: 2f(6) + f(-5) - 3f(-1) = {fill in the blank }

Answers

The value of expression [tex]2F(6) + F(-5) - 3F(-1)[/tex] is 6 while considering the given piece wise function.

What is piece wise function ?

A piecewise function is a function that is defined by different mathematical expressions or formulas for different intervals or "pieces" of the domain. In other words, a piecewise function is a function that is defined by multiple sub-functions, each corresponding to a different part of the domain.

While considering piece wise function:

[tex]F(6) = 4[/tex]                                                                 [tex](x \geq 3)[/tex]

[tex]F(-5) = x + 3 = (-5) + 3 = -2[/tex]                            [tex](x\leq -3)[/tex]

[tex]F(-1) =[/tex] [tex]-x^2 + 1 = -(-1)^2 + 1 = -1 + 1 = 0[/tex]       [tex](-3 < x < 3)[/tex]

Now put the value of F(6), F(-5) and F(-1) in the expression :

[tex]2F(6) + F(-5) - 3F(-1)[/tex]

we get :

[tex]= 2F(6) + F(-5) - 3F(-1) \\= 2(4) + (-2) -3(0)\\= 8 -2\\= 6[/tex]

Therefore, the value of expression [tex]2F(6) + F(-5) - 3F(-1)[/tex] is 6 while considering the given piece wise function.

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you enclose a field using sections of fence with lengths of 9, 12, and 15 meters. Estimate the area of the field.

Answers

The estimated area of the field enclosed by the fence is approximately 220.5 square meters.

What is the Pythagorean theorem?

A basic geometry theorem that explains the relationship between a right triangle's three sides is known as the Pythagorean theorem.

We can employ the following strategy to determine how much of the field the fence is enclosing:

Include the lengths of the fence sections in a rough sketch of the field.

Make a straightforward polygon that resembles the field's shape using the fence sections.

To calculate the area of the triangle-shaped portion of the field, use the triangle's area formula ([tex]A = 1/2 \times base \times height[/tex]). We must identify the triangle's base and height in order to accomplish this.

The Pythagorean theorem can be used to calculate the triangle's height: [tex]a^2 + b^2 = c^2[/tex]where a and b are the triangle's two shorter sides (9 meters and 12 meters, respectively), and c is the longest side (15 meters). When we solve for (a), we see that it is equal to

(a)

[tex]= \sqrt{(c^2 - b^2)} \\= \sqrt{(15 2 - 12 2}) \\= \sqrt{(81)} \\= 9 meters.\\[/tex]

The triangle is therefore 9 meters tall. The 9-meter fence portion serves as the triangle's base.

When we apply the triangle's area formula, we obtain:

A is equal to half of the base plus the height, or 9 meters plus 9 meters, or 40.5 square meters.

The area of the remaining field must be increased by the area of the triangle. This estimate may not be very exact because we have just estimated the field's form, but it should at least give us a general notion of the field's size.

If the remaining area of the field has a roughly rectangular form, we can calculate its area by multiplying the rectangle's length and width. The 12-meter and 15-meter fence sections can be used as a guide to determine the rectangle's size.

By dividing the width by the length, we obtain:

180 square meters is the size of the remaining part (12 meters times 15 meters).

To determine the approximate total size of the field, add the areas of the rectangle and triangle portions:

Total area estimated: 40.5 square meters plus 180 square meters, which equals 220.5 square meters.

As a result, the field's approximate area inside the barrier is 220.5 square meters.

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Jason is asked to draw a quadrilateral with the following specifications.

two adjacent angles are acute and congruent
opposite angles are supplementary

Answers

The resultant quadrilateral is a kite, with opposing angles that are supplementary and two adjacent congruent acute angles (angles AEB and DEC) (angles BED and AEC).

what is quadrilateral?

In terms of geometry, a quad is a four-sided rectangle with four edges and four states. Its origins are in the Latin terms quadri and latus (meaning "side"). A rectangle is an a double shape with four sides, four edges, and four corners.

Jason can use the following procedures to draw the quadrilateral according to the requirements:

Mark A, B, C, and D as the four points on a section of a straight line.

Create two line segments, one from A to C and the other from B to D, with the intersection of the two segments at point E in the centre.

Due to the fact that angles BED and AEC are created by crossing two parallel lines with a transversal, they are opposing and supplementary (segments BD and AC).

The resultant quadrilateral is a kite, with opposing angles that are supplementary and two adjacent congruent acute angles (angles AEB and DEC) (angles BED and AEC).

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Please help me anyone ?!!!

Answers

Answer:

18 dollars

Step-by-step explanation:

he is left with 8 dollars. He buys one granola bar (2), one smoothie (3), and one sandwich (5).

This means that he has spent 2 dollars, 3 dollars, and 5 dollars, which totals  10 dollars (2 + 3 + 5 = 10). He is left with 8 dollars, so we know that he originally had 18 dollars because 10 + 8 = 18.

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Answers

NO || PR using the converse of the Triangle Proportionality Theorem are not parallel.

What is Triangle Proportionality Theorem?

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

Conversely, if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

In this problem, we are given a right triangle NQM, where line PR intersects the sides NM and QM at points P and R, respectively. We are also given that NM = 16, PM = 12, RM = 6, and QR = 8. We want to verify that NO || PR.

To do this, we will use the converse of the Triangle Proportionality Theorem. We know that PR divides NM proportionally, so we need to show that it also divides QM proportionally.

Using the ratios of corresponding side lengths of similar triangles, we can write:

PM / RM = PN / RN

Substituting the given values, we get:

12 / 6 = PN / (16 - 6)

2 = PN / 10

PN = 20

Similarly, we can write:

QR / RM = QN / RN

Substituting the given values, we get:

8 / 6 = QN / (16 - 6)

4 / 3 = QN / 10

QN = 40 / 3

Now we can check if PR divides QM proportionally:

PM / QN = 12 / (40 / 3) = 9 / 5

PN / RM = 20 / 6 = 10 / 3

Since these ratios are not equal, we can conclude that PR does not divide QM proportionally.

Therefore, by the converse of the Triangle Proportionality Theorem, we can conclude that NO is not parallel to PR.

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pa8 11.project Daffynition Decoder

Answers

Daffynition Decoder is a fun and challenging word puzzle that requires both creativity and logical thinking to solve. It is often found in puzzle books, newspapers, and online puzzle websites.

What is Daffynition Decoder?

Daffynition Decoder is a word puzzle game that involves decoding phrases or sentences by using a letter-substitution method. The game provides a list of numbered words, where each word is a cryptic definition of a common word or phrase. The solver's goal is to figure out what each word represents and then use the letters from those words to decode a secret message. The game is typically played by filling in a chart or grid, where each row corresponds to a numbered word in the list, and each column represents a letter in the decoded message. The solver uses the numbered words to fill in the corresponding letters in the grid, eventually revealing the hidden message.

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What is project Daffynition Decoder?

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