I need it asap for my math class

16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support with the premise given which is, leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

An argument is valid when the premises or conditions of the argument are all true. When the conclusion supports the premises then conclusion is valid.

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Answer:

The record time that was achieved in 1970 was 5.78 seconds.

Step-by-step explanation:

It is given that the first one-mile speed record was made by Henry Ford in 1904 when he drove the mile in 39.40 seconds.

It is further stated that this time was 33.62 s slower than the record achieved in 1970.

Now, let us consider the first statement;

Henry Ford covered one mile in time (1904) = 39.40 sec

Now, let us consider the second statement given;

Time taken by Henry Ford (1940) was slower than the time someone else achieved in one miles by = 33.62 sec

So, to calculate the time taken in 1970;

=> 39.40 - 33.62 sec

=> 5.78 sec

Therefore, the record time that was achieved in 1970 was 5.78 seconds.

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value of the median in the situation = 49

Solution :

Median :

A Median is defined as the middle value in a given set of numbers or data. In Mathematics, there are three different measures, which are used to find the average value for a given set of numbers. They are mean, median, and mode. These three measures are called the measures of central tendency. The average value of the given data is given by mean. The middle value of the given data is defined by a median. The repeated value of the given data is defined by mode.

Mean :

The mean is estimated by dividing the sum of all the numbers by the count of the numbers.

Median Formula

Based on the definition, the formula to find the median of the dataset is given by:

If the given number of observations/data is odd, then the formula to calculate the median is:

Median = {(n+1)/2}th term

If the given number of observations is even, then the formula to find the median is given by:

Median = [(n/2)th term + {(n/2)+1}th term]/2

Where,

“n” is the number of observations.

Count of variety A  = 10

Median = [(n/2)th term + {(n/2)+1}th term]/2

Median = [(10/2)th term + {(10/2)+1}th term]/2

Median = [5th term + {6th term}]/2

Median = [49 + 49]/2

Median = [98]/2

Median = 98/2 = 49

value of the median in the situation = 49

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The expanded form of the expression log m² n⁵ is

2 log m +5 log n.

Given that the expression is log m² n⁵.

We are required to find the expansion form of the given expression.

Product property of logarithm says that the logarithm of a product is equal to a sum of logarithms. Because logs are exponents, and we multiply like bases, we have to add the exponents.

The expression is log m² n⁵.

log m² n⁵=log [tex]m^{2}[/tex]+ log [tex]n^{5}[/tex]

=2 log m +5 log n

Hence the expanded form of the expression log m² n⁵ is

2 log m +5 log n.

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The number of miles driven that would make the cost of each company the same is 30 miles.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of miles.

For company A:

total cost = 1.5x + 60

For company B:

Total cost = 2.5x + 30

If each company charges the same amount of money:

1.5x + 60 = 2.5x + 30

x = 30 miles

The number of miles driven that would make the cost of each company the same is 30 miles.

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Answer:

[tex](-4)\x^{\frac{2}{7} } =\sqrt[7]{(-4)^{2} }[/tex]

Step-by-step explanation:

Hope this helps

Answer:

it is 104

Step-by-step explanation:

you have to complete 360 degrees for shape so

89-167=256 and 256-360=104

The equation representing the relationship between the area of the circle and the radius is given by A = π ( r + 16 )².

We are given that:

Waves travels at a rate of 16 feet / second.

Now, let the radius of circle be r.

Now, we know that the area of a circle is given by:

A = π r²

Now, radius increases by 16 feet every second.

So, the equation of the area will become:

A = π ( r + 16 )²

Therefore, the equation representing the relationship between the area of the circle and the radius is given by A = π ( r + 16 )².

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Larger boxes may hold more or fewer balls than smaller ones. The answer to this question must be a sphere because they have the lowest volume value.

Volume is the quantity of three-dimensional space occupied by a liquid, solid, or gas.. Although there are many different units that can be used to indicate volume, the most common ones are liters, cubic meters, gallons, milliliters, teaspoons, and ounces.

According to the information provided,

One should calculate the volumes of the figures to find out if the larger box will carry more cubes or spheres, and the result that yields the smaller value must be the solution.

    Volume of cube = (edge)³ = (2 in)³

                                 = 8 in³

   Volume of sphere = (4πr³)/3

     where r is the radius and is equal to half of the length of the sides. Substituting,

            Volume of sphere = (4π)(1 in)³ / 3 = 4.19 in³

Since spheres give the smaller value for volume, the answer to this item would have to be SPHERE.

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Using proportions, it is found that 7.2q and q/6 are different terms, due to the different numeric coefficients.

A fraction is converted to decimal by the division of the numerator by the denominator, that is, we apply the proportion of the numerator by the denominator.

For this problem, we have two terms, given as follows:

7.2q and q/6.

To verify if they are equal terms, we have to look at the numeric coefficients, hence:

Hence 7.2q and q/6 are different terms, due to the different numeric coefficients.

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The missing value of the inverse variation is 8

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.

Let say if x and y are two values and k is a constant value, then

According to inverse variation

k = xy or y = k/x

In the given question,

Take the order pair (4,6)

As it is an inverse variation, we can substitute it

y=k/x  

6=k/4

K=24

Now find the inverse variation equation

Y=k/x

Also, k=24

Solve this equation for the second pair (x,3)

As, y=24/x

    x = 24/3 = 8

Therefore, missing value is 8

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Answer:

26s-45

Step-by-step explanation:

This is according to a app that tells you the answer to the problem and this is right the app is always right i use it all the time

Step-by-step explanation:

The sum of ypur ages is

=F+B

in three years your ages will both grow by 3

= (F+3)+(B+3)

For the difference of ages we know tha B is older than F

=B-F

Answer: do i remember how to do this... no

Step-by-step explanation:

The  length of JK = 3√3

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Given:

angle = 60

JL = 6√3

JK= x

Now, using trigonometry

cos [tex]\theta[/tex] = B/ H

cos 60 = x/ 6√3

1/2= x/ 6√3

x= 6√3/2

x= 3√3

Hence, the length of JK = 3√3

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Answer:

a) 2/3p

b) q + 1/2p

Step-by-step explanation:

The standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

It follows from the task content that the standard form representation of the equation of the circle as given in the task content is to be determined.

The given equation is;

137+6y=-y²-x²-24x

By rearrangement, we have;

x² + 24x + y² + 6y + 137 = 0.

Therefore by the use of completing the square method; we have;

(x + 12)² - 144 + (y + 3)² - 9 + 137 = 0.

Hence, the correct standard form representation of the equation is;

(x + 12)² + (y + 3)² = 16

(x + 12)² + (y + 3)² = 4²

Ultimately, the standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

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1. Trouvez la différence commune

Trouvez la différence commune en soustrayant n'importe quel terme de la séquence du terme qui le suit.

La différence de la séquence est constante et est égale à la différence entre deux termes consécutifs.

2. Trouvez la somme

3. Trouver le formulaire explicite

4. Trouver la forme récursive

5. Trouvez le neuvième élément

^^ <3

Answer:(1,800 - 12g) / 30 = m

Step-by-step explanation:

Answer:

Step-by-step explanation:

325

Number of people probably wore sandals at the mall = 9 people

Let 's' denote the total number of people Amelia counted at the mall.

Let x be the number of people wearing sandals out of them.

The equation developed by Amelia according to this is,

 s = 35x + 12

This is a linear equation written with s in terms of x .

Total people counted by Amelia = 325

So we have to find the value of x when s = 325.

Substituting s = 325 to the equation,

325 = 35x + 12

⇒ 325 - 12 = 35x

⇒ x = (325 - 12)/35

⇒ x = 8.9 ≈ 9

Since x denote the number of people wearing sandals, we take x = 9

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Answer:

Step-by-step explanation:

I am assuming you mean 20% of the world's population lives in South America.

That is 1/5.

1 /35 of world's population live in Brazil so the fraction of Brazilians in South America

= 1/35 / 1/5

= 5/35

= 1/7

Where Melissa went wrong was that she should have divided it into 3 pieces that were 4 in. long.

We are given;

Length of Ribbon = 12 inches

Length of each bookmark = 4 inches

Now, since she is making bookmarks from the 12 inches length of ribbon, from online sources it is seen that she divided into 4 parts of 4 inches each.

Thus, where Melissa went wrong was that she should have divided it into 3 pieces that were 4 in. long.

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Solving a system of equations we can see that he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

Let's define the two variables:

x = number of fiberglass bathrooms repaired.

y = number of fiberglass tub enclosures repaired.

Then we can write the system of equations:

x + y = 23

x*$12 + y*$59 = $652

Isolating x on the first one, we get:

x = 23 - y

Replacing that in the other equation:

(23 - y)*$12 + y*$59 = $652

23*$12 + y*($59 - $12) = $652

23*$12 + y*$47 = $652

y = ($652 - 23*$12)/$47 = 8

Then:

x = 23 - y = 23 - 8 = 15

So, he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

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No extraneous solution.

We have to find the extraneous solution to the equation:

5 - 2[tex]\sqrt{x}[/tex] = 3

Now we have to find the value of x.

2[tex]\sqrt{x}[/tex] = 2

[tex]\sqrt{x}[/tex] = 1

x = 1

Now we have to put the value of x in the equation

5 - 2[tex]\sqrt{1}[/tex] = 3

5 - 2 = 3

3 = 3

Therefore we get no extraneous solution to the equation. x = 1 is the solution of the equation.

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The rate of falling temperature is 5 1/3 degrees per hour.

What do you mean by the rate of temperature?

This indicates the sensitivity of the reaction to change in temperature.

Given that;

The temperature fell 4 degrees in 3/4 of an hour.

So, we can set up a proportion to see how much temperature fell in an hour,

[tex]\frac{4}{3/4} = \frac{x}{1}[/tex]

4 /0.75 = x

x = 5 1/3

Hence, The rate of falling temperature is 5 1/3 degrees per hour.

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Each roommate have to pay $68.85 equally.

Given, the TV costs = $275.40 including tax.

number of roommates who wants to buy a Tv with equal pay = 4

Divide the total amount of the TV among the number of roommates.

One of the four fundamental mathematical operations—the others being addition, subtraction, and multiplication—is division. Simply said, division is the process of dividing a large group into smaller groups so that each group contains an equal number of elements. In mathematics, it is an operation that is used for equal distribution and equal grouping.

⇒ 275.40 ÷ 4

= 68.85

Hence each roommate have to pay $68.85 equally to buy a TV which costs $275.50.

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