Two angles which each measure less than 90° are complementary.

If the statement is false give a counterexample.
Responses
A False; 40° and 50°.False; 40° and 50°.
B False; 110° and 20°.False; 110° and 20°.
C False; 30° and 80°.False; 30° and 80°.
D The statement is true.

Answers

Answer 1

The given statement is true. The example is 40° and 50°.

What is counterexample?

An example that satisfies the condition(s) of a mathematical statement but does not result in the conclusion of the statement is referred to as a counterexample.

What is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

If the sum of two angles is 90°, then the angles are complementary angles each other.

40° and 50° both angles are less than 90°.

The sum 40° and 50° is 90°.

Thus, 40° and 50°  are complementary to each other.

Therefore the given statement is true.

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Related Questions

Mav has xx nickels and yy dimes. She has no more than 28 coins worth a minimum of $2 combined. Solve this system of inequalities graphically and determine one possible solution.
inequality #1-
inequality #2-
mav could have __ nickles and __ dimes

Answers

Answer:

Inequality #1: x + y ≤ 28

Inequality #2: 0.05x + 0.1y ≥ 2

Mav could have 5 nickles and 20 dimes.

Step-by-step explanation:

    It's given that Mav has less than or equal to 28 coins, so we can write the following inequality:

       x + y ≤ 28

    We know that a nickel is work 0.05 and a dime is worth 0.1. Using the given information, the following inequality is true since the coins must be greater than or equal to $2 combined:

       0.05x + 0.1y ≥ 2

       Now, we will graph them. Both graphed lines will use solid lines since both include equal to. We will shade below #1 and above #2. I used Desmos Graphing Calculator, you can find it online for free. Once we type in our equations, we get the needed graph.

       The overlapping portion contains our possible solutions. There are many, but one possible solution is (5, 20), with 5 nickels and 20 dimes.

Helppppppppppppppppp

Answers

Answer:

I couldn't read the full problem but I could read the first problem.

Step-by-step explanation:

The hourly rate is 8 dollars because $52-$44 is $8. $44-$36 is also $8. So $36- (the amount for 2 hours) $28 is $8. so in one hour the cost to rent a bicycle is $8.

27. The histograms show the results of three simulations of a sampling distribution of a sample mean. For each simulation, 1,500 samples of size n were selected from the same population and the sample mean was recorded. The value of n was different for each of the three simulations Graph C Graph B Graph A 200 Sample Means h of the following is the correct ordering of the graphs from least value of n to greatest value of n? 200 200 0 Sample Means Sample Means A A, C, B (B) B. A, C (C) B. C, A (D) C. A, B (E) C, B, A
Previous question

Answers

The correct ordering of the graphs from least value of n to greatest value of n is A, B, C.

The three graphs, A, B, and C, represent the results of three simulations of a sampling distribution of a sample mean. Graph A has a value of n of 200, Graph B has a value of n of 200 and Graph C has a value of n of 0. Thus, the correct ordering of the graphs from least value of n to greatest value of n is A, B, C. To understand this, it is important to note that as the value of n increases, the sample means will be more representative of the population. Therefore, Graph A with the lowest value of n would have the least representative sample means, followed by Graph B and Graph C with the highest value of n having the most representative sample means.

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billie has 2 [tex]\frac{1}{4}[/tex] bars of chocolate she eat 5/8 of a bar how much does she have left. give your answer as a mixed number in its simplest form

Answers

Answer:

1 5/8

Step-by-step explanation:

9/4x2/2=18/8

18/8-5/8=13/8,

so the answer will  be 1 5/8, yes!

How do you convert 2 as a percentage?

Answers

The way you worded your question is a little unclear, so I’ll do my best to cover both possible interpretations.

Converting anything from a decimal to a percentage means dividing it by 100. Assuming your percentage is 2%, your decimal would be 0.02. If you mean your decimal is 2, your percentage would do the opposite of dividing by 100 which is multiplying by 100. Therefore if your decimal was 2, your percentage would be 200%

Which of the following is NOT valid for proving that triangles are congruent? (A) AAA, (B) ASA (C) SAS, (D) HL

Answers

Answer:

A) AAA

Step-by-step explanation:

This proved similarity, but not necessarily congruency.  If the angles are the same in a triangle, they could be smaller and larger versions of themselves.  They will have the same shape, but not necessary the same size.  The side lengths will be proportional.  If the scale factor between the two triangles is 1 , then the triangles would be congruent, but they could have any scale factor greater or less than 1 too.

how to find asymptotes of a rational function

Answers

Step-by-step explanation:

you devide the upper half of a fraction with the part under it. for example

6x2+x+1

_______=6. that is asymptote

x2+2

when you multiply 6 and lower half of a fraction you get 6x2+12

if you substract that from 6x2+x+1 you get x-11

if you make x-11=0 the number that x represents is the point where the function crosses the asymptote

suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually? how much money will be in that account at the end of 4 years?

Answers

The money at the end of 4 years will be $1034.

What is compound interest ?

The interest on the initial investment as well as the interest that has accrued on that investment are both referred to as compound interest, or "compounding interest."

Given, P = $1,000

          Rate (r) = 0.85% p.a.

          time (t)  = 4 years

We know that, Amount = P ( 1 + r/100 )^t

The money in account after 4 years will be :

           = P ( 1 + r/100 )^t

           = $1,000 × ( 1 + 0.85/100 )^4

           = $1,000 × 1.0085^4

           = $1,000 × 1.0344

           = 1034 (approx).

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question content area top part 1 compare the slopes of the lines for y=f(x) and y=g(x) to determine if they are parallel.

Answers

A line's steepness can be determined by looking at its slope.Slope of the line is 15.

How do you find slope of a line?

Determine the coordinates of two points along the line that you choose.Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run).

Slope of a line passing through two points (x1 ,y1)and will be given by,

Slope 'm' =y2 - y2/ x2- x1

Function 'f' passes through two points (0, 20) and (1, 35).

Slope of the line = 35 -20/1-0= 15

In a similar manner, function 'g' passes through (0, 22) and (1, 37).

Slope of the line = 37 - 22/ 1-0 = 15

Therefore, m1 = m2

Since, slopes of both the lines are equal, lines will be parallel.

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in the following expression, the variable truckweight has the value 70000 and the variable weightlimit has the value 80000.truck weight < weight limit what value does the expression evaluate to?

Answers

The expression evaluates because the variable truck weight's true value is present. The correct answer is (C).

Define expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given,

In the following expression, the variable truck weight has the value 70000 and the variable weight limit has the value 80000.truck weight < weight limit.

Expression,

Truck weight < Truck limit

The value of expression evaluate,

It is true.

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HELP MEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

t ≈ 11.7

Step-by-step explanation:

                  r

A = P (1 + -------)^(n)(t)

                  n

A = 5000

P = 2500

r = 0.06

n = 2

t = ?

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

                                  2

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

÷2500 ÷2500           2

             0.06

2 = (1 + ----------)^(2)(t)

                2

            log 2

------------------------ =  2t

             0.06

log (1 + ----------)

                2

            log 2

(1/2) ------------------ = 2t (1/2)

                    0.06

      log (1 + ----------)

                      2

11.72488612 = t

11.7 ≈ t

I hope this helps!

Let
f(x)=12−x
f^-1(x)=

Answers

The inverse for f(x) = 12 - x is f^-1(x) = -x + 12

Define Inverse Function

An inverse function or an anti function is defined as a function, which can reverse into another function.

The given equation is ,

f(x) = 12 - x

We can also write like this,

y = 12 - x

Now, for the inverse just swap x and y like this

x = 12 - y

x - 12 = - y

y = -x + 12

Now, we know

y = f^-1(x) = -x + 12

Hence, f^-1(x) = -x + 12

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The number of avocadoes used by restaurant in a day varies directly with the number of orders of guacamole that day. It takes 7 avocadoes to make 4 orders of guacamole. How many avocadoes would it take to make 14 orders of guacamole?

Answers

14 orders of guacamole need  24.5  avocadoes

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

4 orders of guacamole need  7 avocadoes

14 orders of guacamole need  x avocadoes

Equivalent ratios:

4/7 = 14/x

Solve for x.

=> 4x = 7*14 = 98

=> x = 98/4 = 24.5

So, 14 orders of guacamole need  24.5  avocadoes

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The distance between (2, 3) and (1, 7) is:
117.
1.
16.
17.

Answers

Answer:

Sqrt of 4²+ (-1)² = Sqrt. of 17

Step-by-step explanation:

2 points in a coordinate grid create a right-angled triangle.

the distance is the Hypotenuse (the side opposite of the 90° angle). and the x coordinate and y coordinate differences are the legs.

and with that we use Pythagoras

c² = a² + b²

with c being the Hypotenuse, and a and b being the legs.

so, in our case :

distance² = (1 - 2)² + (7 - 3)² = (-1)² + 4² = 1 + 16 = 17

distance = sqrt(17)

A store receives `12` boxes that contain many different numbers of lemons. They weigh each box and then count the lemons. The data is in the scatter plot. A new box weighs `30` pounds. Approximately how many lemons are in the box?


answer - UR MOTHERRRRR

Answers

Answer:

12*30 is the answer

if u multiply it

fill in the numbers resulting from the indicated operation: 2 −1 −4 7 3 4 5 5 −1 2 1 −1 2 −1 −4 7

Answers

The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

What is number?

A number is a numerical value that is used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics. A number is an arithmetic value used for representing the quantity and used in making calculations. Numericals are written symbols that represent numbers, such as "3." A number system is a writing system for representing numbers using digits or characters in a logical manner. Numbers are used to count, measure, and compare quantities. A number system is a set of symbols, or numerals, that are used to represent numbers.

Here,

The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

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Answer:

-1 2 1 -1

3 4 5 5

What is the sum of all digits in the sequence 1,2,3,4... 98,99,100? (For example, the sum of digits in 34 and 35 is 3+4+3+5=15)

Answers

Answer:

Step-by-step explanation:

To find the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100, we can use a bit of arithmetic.

First, let's find the sum of the digits in the first 99 numbers of the sequence. Each number in the sequence has two digits, so the sum of the digits in the first 99 numbers is 99 * 18 = 1872.

Next, we need to add in the digits in the number 100. The sum of the digits in 100 is 1 + 0 + 0 = 1.

Therefore, the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100 is 1872 + 1 = 1873.

How do you write 0.09 as a fraction?

Answers

Answer:

9/100

Step-by-step explanation:

numerator = whole number

denominator = 100

9/100

Answer this question please!

Answers

Answer:

i can understand your problem

Answer: 8 hours

Step-by-step explanation:

speed = distance/time

time = distance/speed

[tex]time = \frac{680-80}{75} \\time = \frac{600}{75}\\ time = 8hours[/tex]

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

The values of x in the equation are (a) x = 13 and (b) x = 1

How to determine the values of x for the equation?

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

(x - 7)2 = 36

This equation when expressed properly is

(x - 7)² = 36

Take the square roots of both sides of the equation

So, we have the following representation

x - 7 = ±6

Add 7 to both sides of the equation

This gives

x = 7 ± 6

Evaluate the sum and the difference

x = 1 and 13

Hence, the solutions are (a) and (b)

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Find x. Please give a correct answer

Answers

Answer: x = 110

Step-by-step explanation:

           A 7-sided shape, also known as a septagon, has a total of 900° among its angles. We will set up an equation and solve by combining like terms and using inverse operations.

105° + 150° + 140° + x° + 135° + 125° + 135° = 900°

790° + x° = 900°

x = 110

The values represent a direct variation. Indentify the constant and find the missing value.
K=xy

Answers

The required missing value for the values representing the direct variation is -3.2.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,

let the missing number be x.
From the table given,
-22/-4.4 = -16 / x
x = -16 / 5
x = -3.2

Thus, the required missing value for the values representing the direct variation is -3.2.

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Which value of x makes the equation 3-0.5(2x-8)=(3X+28) true

Answers

Step-by-step explanation:

In order to solve this equation, you will need to use the following steps:

First, simplify the left side of the equation by performing the operation of multiplying 0.5 and (2x-8) to get 0.5(2x-8)=x-4.

Then, subtract 3 from both sides of the equation to get x-4=3x+28.

Next, subtract 3x from both sides of the equation to get -3x+x-4=28.

Combine the like terms on the left side of the equation to get -2x-4=28.

Add 4 to both sides of the equation to get -2x=32.

Finally, divide both sides of the equation by -2 to get x=16.

Therefore, the value of x that makes the equation 3-0.5(2x-8)=(3x+28) true is 16.

how other statistucal values are used to summarize data

Answers

Statistics regularly employs tables, charts, and graphs to present data visually.

What is meant by statistical values?

Data can be summarized graphically or numerically (see "Graphical techniques in Statistics" for further information on the latter). The methods for numerical and graphical summarization that can be utilized depend on the type of data that was collected.

Statistics regularly employs tables, charts, and graphs to present data visually. The evaluation of raw data for patterns, data entry errors, and outlier values that can affect the statistical interpretation of the data is frequently started with examples like these.

It is important to show the data in tables, charts, and other statistical figures in a way that is both accurate and simple to understand. Additionally, tables are helpful for distilling the original data that forms the basis of a study's findings. To convey a lot of information in a small amount of area, they are effective.

The complete questions is:

Describe why charts/tables and other statistical values are used to summarize data and address the particulars of this assignment (be sure to include a thesis statement).

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help me find the slope please

answer needs to be correct or i will report and ban you.
thank you
-lazyuser30

Answers

-4/3, to find the slope, count how many units up, than how many units left or right, put the amount of units going up above the units left or right, it should look like a fraction, than simplify if possible, you then determine if the line is positive or negative, if it is positive, keep the slope as is, if it is negative, add a negative symbol in front of it.

Calculate the double integral.

3xy2
x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
iintegral.gif
R

Answers

the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}

∫∫3xy2 dx dy = 16

We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:

∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy

Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:

∫0→1 3xy2 dx = x3y2 + c

Now, we can substitute this expression into the double integral, giving us:

∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy

Finally, we can integrate this expression with respect to y, giving us the following:

∫∫3xy2 dx dy = x3y3 + cy + d

Now, we can substitute the limits of integration into this expression, giving us the following:

∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16

therefore, the double integral is equal to 16.

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the u.s. census is an example of a huge descriptive research project that uses the entire population as the sample. what are some of the limitations of generalizing census findings back to the entire population? select all that apply.

Answers

Therefore, the limitations census of entire population can be described in  major points like  it can be Since surveys rely on self-reporting, some misrepresentation or mistake is unavoidable and further more

What is census?

A key component of the U.S. Federal Statistical System, the United States Census Bureau, or Bureau of the Census, is in charge of gathering information on the population and economy of the United States.

Here,

Therefore ,the limitations of generalizing census findings back to the entire population are:-

The homeless population is underrepresented in the findings even though every home is required to complete a census report. This is because they are frequently impossible to reach, interview, and count.

People who do not speak either English or Spanish as their first language and whose primary language is one of those two are more likely to be overlooked in the census.

Since surveys rely on self-reporting, some misrepresentation or mistake is unavoidable.

The population fluctuates constantly, so it is unlikely that the population on the day the census results are released would closely resemble the population as described in the census.

Those who entered the country illegally but intend to stay do not submit a report.

Therefore , there are 5 major limitation described above .

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The perimeter of a square is 60 cm. Find the
area of the square.

Answers

Step-by-step explanation:

SOLUTION

Since a perimeter is a total distance around the figure.

And a square is a quadrilateral(with four sides) which are equal.To find the length of each side,divide the perimeter by 4.

60 cm÷4 = 15 cmSince,Area of square = side×side = 15cm×15cm = 225cm^2

hope it helps you.

Answer:

Area of square = 225 cm²

Step-by-step explanation:

Perimeter of square formula,

→ P = 4 × side

→ P = 4a

Now the side of square will be,

→ P = 4a

→ 4a = 60

→ a = 60/4

→ [ a = 15 cm ]

Then the area of square will be,

→ (a)²

→ (15)²

→ 225 cm²

Hence, area of square is 225 cm².

plss, I really need help with this, I keep getting it wrong

Answers

Answer:

A = 2

B = 12

C = 5

D = 13

Surface = B * A

Surface = 12 * 2

Surface = 24 mm²

CREDITS:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?

Answers

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

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