Write each statement as a conditional.


a. A triangle with all angles congruent is equilateral.
b. Alberto can go to the movies if he washes the car.

The solution of the equation x + y = 7 is equal to (x, y) = (1, 6).

The given equation is of the form of linear equation in two variables. A linear equation in two variables is an equation of the form ax + by c = 0 where a, b and c are coefficients and x, and y are independent and dependent variables respectively.

Now, if we take the equation in the question x + y = 7 and assume (1, 6) as (x, y) then

x + y = 7

Putting (x, y) = (1, 6)

=> 1 + 6 = 7

=> 7 = 7

Thus, we see that L.H.S = R.H.S and thus (1, 6) is the solution of the equation x + y = 7.

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Answer:

Ohayooooooooooooooooooooo

A&B

Answer:

0.063

Step-by-step explanation:

0.504 divided by 8 is 0.063

Hope It Helps

Sorry If I'm Wrong

Answer: The answer is 0.630

Step-by-step explanation: The picture proves my answer :D

The given equation is solved to x as x=(41-b)/a.

The given equation is ax+b=41.

We need to solve the given equation for x.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the equation ax+b=41 can be solved as follows:

Keep the variable x on the left-hand side of the equation and bring a to the right-hand side of the equation.

That is, x=(41-b)/a (when you bring a variable from LHS to RHS or vice versa the mathematical operations become inverse that is multiplication changes to division)

Therefore, the given equation is solved to x as x=(41-b)/a.

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The length of the given rectangle is x + 5 meters.

Given:

To find: Length of the rectangle

Finding:

Let 'a' be the length of the rectangle.

We know that area of a rectangle = length * width

On substituting the given values in the above formula, we get:

=>  x² + 8x + 15 = a (x + 3)

=> a = [tex]\frac{x^2+8x + 15}{x+3}[/tex]

=> a = [tex]\frac{(x+5)(x+3)}{x+3}[/tex]

=> a = x + 5

Hence, The length of the given rectangle is x + 5 meters.

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190 handshakes take place.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the arrangements ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement).

Combinatorics is the study of combinations, although mathematics and finance are two other fields that employ combinations.

EXPLNATION : For a handshake you need two people. Therefore, select two from twenty, that is, 20C2 ways. It is 20*19/2 = 190.

In general, if there are ’n’ number of people there can be nC2 handshakes.

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The answer for the following questions are:

An angle is formed when two straight lines or rays meet at a common endpoint.

11. 5+35x + 24x - 2 = 180 (linear pair)

       59x = 177

          x= 3

12. 15 + 10x = -5 + 12x (corresponding angle)

          20 = 2x

           x= 10

13. 13x -4 + 8 +9x =180 (linear pair)

        22x +4 = 180

        22x = 176

           x= 4

14. 24x + 3 = 25x (alternate interior angle)

             3 = x

15. 32x + 4 = 1 + 33x ( corresponding angle)

          3 = x

16. 13x+ 11 = 15x - 5 (alternate interior angle)

    -2x = -16

      x= 8

17. 15x + 8x -4 = 180 (linear pair)

    23x = 184

       x=8

18. 9x +16 = 11x -2 ( Vertically opposite angle)

    -2x = -18

       x=9

19.  5+ 17x = 19x -5 (alternate interior angle)

      2x = 10

        x=5

20. 8x - 3 + 23x -3 =180 ( Linear pair)

      31x = 186

       x=6

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Grew Davis next step would be to give homework for the students and conduct a test in the next week .

Gwen Davis is a middle school math teacher.

she starts today's lesson by introducing the topic of percent increase and percent decrease and reviewing decimals and percent

How do I calculate a percentage decrease?

Percentage decrease formula can be obtained by simply dividing the decreased value by the original value and multiplying that with 100. Here, Decreased Value = Original Value – New Value.

How do you calculate a 20% increase?

Multiply the original value by 0.2 to find the amount of a 20 percent markup, or multiply it by 1.2 to the original value

Hence , Grew Davis next step would be to give homework for the students and conduct a test in the next week .

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Answer:

x=3y2-7

x=3×1-7

x=3-7

x=-4

The complete statements are:

To do this, we evaluate each equation

So, we have

Equation 1

x + c = 0

Make x the subject

x = -c

The above implies that x and c are additive inverses

Hence, as c increases, the value of x decreases

Equation 2

-xc = -c

Divide both sides by -c

So, we have

x = 1

The above implies that c does not have any effect on the value of a

Hence, as c increases, the value of x stay the same

Equation 3

x/c = 1

Make x the subject

x = c

The above implies that x and c have the same value

Hence, as c increases, the value of x increases

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He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

Given that;

Leonard can wash 6 cars in 4.5 hours.

He always washes cars at this same rate.

We have to find number of wash cars in 9 hour and time to wash one car and number of wash cars in one hour.

What is relation between hour and minutes?

The relation between hour and minutes is ;

1 hour = 60 minutes.

Now, we have;

Leonard can wash 6 cars in 4.5 hours.

Time for wash 6 cars = 4.5 hour

So, Time for wash 1 car = 4.5 ÷ 6 = 0.75 hour

Since, 1 hour = 60 minutes

Hence, Time for wash 1 car = 0.75 x 60 = 45 minutes

And, In time 4.5 hour, number of wash cars = 6

So, In 1 hour, number of wash cars = 6/4.5 = 1 1/3

Hence, Number of wash cars in one hour is one and one third part of car.

In 9 hour, number of wash cars = (6/4.5) * 9 = 12

Hence, Number of wash cars in 9 hours is 12.

So, He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

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The value of y for which the left hand side of the equation is equal to Right hand side is 11.

Solution of a linear equation is the value of the variable for which the left hand side and right hand side of the equation are equal.

Given is the following equation -

9y = 99

In order to solve the equation. we have to find the value of y for which 9y is equal to 99. Now -

9y = 99

Divide both sides by 9 -

9y/9 = 99/9

y = 11

Therefore, the value of y for which the left hand side of the equation is equal to Right hand side is 11.

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[The given question is written in Spanish. The following is the statement converted onto English as

9y=99 Enter your answer.}

Answer:

[tex]x = \frac{c}{a + b} a = - b[/tex]

Answer:

[tex](10+3x)(10-3x)[/tex]

Step-by-step explanation:

[tex]100-9x^2\\\sqrt{100} =10\\\sqrt{9} =3\\3*-3=-9\\\sqrt{x^2} = x \\(10-3x)(10+3x)[/tex]

________________________________________________________

Considering both terms are perfect squares, factor using the difference of squares formula:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

In this situation, a = 10 and b = 3x. With this, now plug in your data into the formula.

(10 + 3x) (10 - 3x)

_________________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

The required measure of the sine of angle ∠ MQP for Right triangle MNR is evaluated as 0.83.

As given in the question, the Right triangle MNR is represented with the right angle at vertex M. Angle R measures 34 degrees, and angle N measures 56 degrees.
We have to determine sin ∠MQP.

The angle can be defined as the one line inclined over another line.

Here,
For right-angle triangle MNR,
To calculate the sin of the angle in the right angle triangle we need hypotenuse and perpendicular.
But in the question value of angle ∠MQP is given, So directly,
sin 56 = 0.83.

Thus, the required value of the sine of angle  ∠MQP is 0.83.

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Answer:

hlpp

Step-by-step explanation:

An open circle is at 3 and a bold line starts at 3 and is pointing to the left

Inequalities are expressions that are not equated by an equal sign. Given the expression below:

3(8 – 4x) < 6(x – 5)

Expand to have:

3(8) - 3(4x) < 6x - 6(5)

24 - 12x < 6x - 30

Collect like terms

-12x - 6x < -30 - 24

-18x < -54

Divide both sides by -18

-18x/-18 < -54/-18
x < 54/18
x < 3

Hence the solution of the inequality on the number line A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left

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A subset of a statistical population called a simple random sample is one in which each member has an equal chance of being chosen.

What is Probability sampling?

A random/ arbitrary sample is similar to a straightforward arbitrary sample. The distinction between the two is that any object in the population has an equal probability of being named with a simple arbitrary slice. Every item doesn't inescapably have an equal chance of being chosen in an arbitrary slice.

A random/ arbitrary sample is one that was named at arbitrary. It should really be labeled as a sample that was chosen at arbitrary. In order to help bias and other negative goods, arbitrary samples are employed. In fact, it's not as easy as it seems to opt for a arbitrary sample that involves further than simply opting for 100 people from a population of 1000. Make sure your arbitrary sample is actually random/ arbitrary before using it.

The liability of a straightforward random/ arbitrary slice, a subset of a statistical population called a simple random/ arbitrary sample is one in which each member has an equal chance of being chosen. A straightforward arbitrary sample is intended to offer an objective definition of a group.

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The average building height and the standard deviation for two separate cities' samples are shown. The true statements are:

City A’s heights are more spread out than city B’s heights.

City A has a lower average height than city B.

In daily life, an average is a number chosen to represent a group of numbers; it is often the sum of the numbers divided by the total number of numbers in the group (the arithmetic mean). The average of the integers 2, 3, 4, 7, and 9, for instance, is 5, which equals 25. An average could alternatively be another statistic like the median or mode, depending on the situation. The median is sometimes used in place of the mean since the mean would be unnaturally high if it included the personal incomes of a few billionaires. The median is the amount below which 50% of personal incomes fall and above which 50% of personal incomes rise.

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Answer:

D

Step-by-step explanation:

D, because 6* -2.5a = -15a and 6*5= 30 so it equals -15a+30.

The integers from least to greatest is -12<-9<-8<0<2<5<10.

The given set of numbers are -9, 5, 2, -8, 0, 10, -12.

We need to order the integers from least to greatest.

Ascending order refers to the arrangement of numbers or other items in increasing order from smallest to largest. Numbers that we see on a number line from left to right are examples of ascending order. We usually represent it by putting commas between numbers or by using the 'less-than symbol (<)' between numbers.

With negative numbers, the highest number with the negative sign has the least value.

So, -12<-9<-8<0<2<5<10.

Therefore, the integers from least to greatest is -12<-9<-8<0<2<5<10.

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Using a linear function, it is found that $62.95 will be in her account after 4 weeks.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence, her balance after x weeks is given by the following function:

B(x) = -20.21 + 20.79x.

Her balance after 4 weeks is given by:

B(4) = -20.21 + 20.79(4) = $62.95.

Hence $62.95 will be in her account after 4 weeks.

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The percent of the large circle is covered by the small circle will be 33.3%.

It should be noted that the radius of the small circle will be r.

The radius of the big circle will be 3r.

Therefore, the percent of the large circle is covered by the small circle will be:

= r / 3r × 100

= 1/3 × 100

= 33.3%

The percent of the large circle is covered by the small circle will be 33.3%.

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Answer:

The corrects answer is: Emma will need to make sales totaling $800 next week to meet her goal.

Step-by-step explanation:

Answer:

you solve the main number and you can plus the 1+1 the answer is 2 2=2 the main berb on this answer is no

Step-by-step explanation:

jalok

Answer:

The answer is A.

Step-by-step explanation:

For addition and subtraction problems, the answer should be rounded to the least  significant decimal places as the measurement with the least number of decimal places

The rightmost digit of a decimal number is the least significant digit or least significant figure. Another way to look at the least significant figure is to consider it to be the rightmost digit when the number is written in scientific notation. Least significant figures are still significant.

Count the number of significant figures in the decimal portion only of each number in the problem. Add or subtract in the normal fashion. Final answer may have no more significant figures to the right of the decimal than the least number of significant figures in any number in the problem.

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The result of the exponent given is 7^12

In order for us to solve the exponential expression given, we will use the law of exponent below;

(a^m)^n = a^mn (multiply the powers)

Given the expression

[tex](7^{6})^{2}[/tex]

Multiply the exponents to have;

7^6(2)

7^12

Hence the result of the exponent given is 7^12

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Answer:

No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.

Step-by-step explanation:

When Anna starts, she does a sit-up every 22 seconds.