Why is the converse of the Pythagorean Theorem equally as important as the Pythagorean Theorem?

Answer:

The number is 34.

Step-by-step explanation:

Let the number be x.

As per the statement: if 5.5% of it is 17% of 11.

⇒ 5.5% of x is 17% of 11.

"5.5%of x" means [tex]\frac{5.5}{100} \times x[/tex]

"17% of 11" means [tex]\frac{17}{100} \times 11[/tex]

then;

[tex]\frac{5.5x}{100} = \frac{17 \times 11}{100}[/tex]

Multiply by 100 on both sides, we get;

[tex]\frac{5.5x}{100} \times 100 = \frac{17 \times 11}{100} \times 100[/tex]

Simplify:

[tex]5.5x = 187[/tex]

Divide both sides by 5.5 , we get;

[tex]\frac{5.5x}{5.5} = \frac{187}{5.5}[/tex]

Simplify:

x = 34

Therefore, the number is 34.

Answer:

Step-by-step explanation:

First we must find 17% of 11.

0.17 x 11 = 1.87

So we know 5.5% of "a number" or "x" is equal to 1.87

0.055x = 1.87

x = 1.87/0.055

x = 34

Answer:

[tex]y=35\cdot (1.6)^x.[/tex]

Step-by-step explanation:

Find the exponential function in a form [tex]y=a\cdot b^x.[/tex]

1. At x=0,

[tex]35=a\cdot b^0=a.[/tex]

2. At x=1,

[tex]56=35\cdot b^1\Rightarrow b=\dfrac{56}{35}=\dfrac{8}{5}=1.6.[/tex]

Therefore, the expression for the exponential function is

[tex]y=35\cdot (1.6)^x.[/tex]

Note that

[tex]y(-1)=35\cdot (1.6)^{-1}=\dfrac{35}{1.6}=21.875[/tex]

and

[tex]y(2)=35\cdot (1.6)^2=35\cdot 2.56=89.6.[/tex]

The exponential growth function represented by the provided set of ordered pairs is[tex]y = 35 \times 1.6^x,[/tex] where 'a' is the initial value and 'b' is the growth factor derived from the given points.

To begin determining the underline equation of this exponential growth function, we first need to recognize that the general form of an exponential function is[tex]y = ab^x[/tex] , where a is the initial value (the output when x=0) and b is the growth factor.

In the provided set of ordered pairs, when x = 0, y = 35.  Therefore, a = 35. Now, to calculate b, we could apply the function to the point (1,56). We know that[tex]56 = 35\times b^1,[/tex]which simplifies to 56 = 35b.  Solving for b gives us b ≈ 1.6 (approximation).

So, the exponential growth function that corresponds to these ordered pairs is[tex]y = 35\times 1.6^x.[/tex]

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The equation of proportional situation is y = ax.

Therefore your answer is y = 14x

Good morning Sir/Ma'am!

Answer:

A plane is a flat surface made up of points that extends infinitely in all directions.

Hope this helps! Have a great day!

~Sky

Answer: the price of shares is never mentioned  

the number of shares bought for each customer (what customers? does customer = client?) .... bought for each client is what you're solving for  

so C. number of shares remaining to be sold  

if 95,000 shares available before sale, 75,000 after, 20,000 were sold.  

20,000 shared among 250 people is 80 shares each.

Answer:

C. the number of shares remaining after the stockbroker buys shares for her customers

Step-by-step explanation:

Here Most important variable is asked, So Option (C) is the best choice. It is the most important variable for finding the number of shares the company has left.

Option (A) can't be chosen because it is comparatively less important than option (C).

Option (B) never can be an important variable since the price of shares is not given.

Also, The number of shares the company has left after stockbroker's purchase = 95000 - 150×250 = 57500.

Answer:

option-B

Step-by-step explanation:

we are given

<H and <X are supplementary angles

so,

<H+<X=180

we know that

<H and <E are vertically opposite angles

so, they must be equal

<H=<E

we can plug it

<E+<X=180

It means that angle(E) and angle(X) are supplementary angles

and these two angles are same side interior angles

By using same side interior angles converse

so, line(l) and line(n) must be parallel

so, option-B

Answer:

Option (B) is correct

Step-by-step explanation:

∠H and ∠X are supplementary as given, ∠H + ∠X = 180

And, ∠H = ∠E ( Vertical opposite angles are equal )

So, by substitution ∠E + ∠X = 180  

So, the sum of same side interior angles ∠E and ∠X is 180 therefore, by using converse of same-side Interior angles theorem we get  l║m.

The correct option is B

Problem 1)

This question is incomplete. It asks us to find something, but doesn't say what to find. It's literally blank after the word "find" which suggests your teacher made a typo. Please get back to me on this. Thanks.

===================================

Problem 2)

Angles GAR and GAT are supplementary because they are a linear pair. They form a straight angle. So we add up the expressions of x for each of these angles, solve for x, and use this to find angle GAR.

(angle GAR) + (angle GAT) = 180

(5x) + (3x+4) = 180

8x+4 = 180

8x+4-4 = 180-4

8x = 176

8x/8 = 176/8

x = 22

Note: now that I reached this point I realize that this might be the answer to problem 1; however, I'm not 100% sure because of the incomplete problem.

Use this x value to find angle GAR

angle GAR = 5*x

angle GAR = 5*22

angle GAR = 110

Unfortunately this answer isn't listed. I'm thinking your teacher made another typo.

===================================

Problem 3)

Answer: angle GAR and angle ABQ are corresponding angles.

Thankfully this answer is listed. Corresponding angles are angles that are on the same side of the transversal line and they are either both above or below the parallel lines they are next to. In this case, they are both above the parallel line counerparts.

===================================

Problem 4)

Corresponding angles are congruent as long as we have a set of parallel lines. So that means angle ABQ is equal to angle GAR. So angle ABQ is also 110 degrees

===================================

Problem 5)

angle BAT = angle GAR,  because they are vertical angles

angle BAT = 110

angle BAT = (angle BAD) + (angle DAT)

(angle BAD) + (angle DAT) = angle BAT

(100) + (angle DAT) = 110

angle DAT = 110-100

angle DAT = 10

angle ADB = angle DAT,  because they are alternate interior angles

angle ADB = 10

--------

Final Answer: 10 degrees

Answer:

x = [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

distribute parenthesis on both sides of the equation

6x - 9 = 4x + 4 ( subtract 4x from both sides )

2x - 9 = 4 ( add 9 to both sides )

2x = 13 ( divide both sides by 2 )

x = [tex]\frac{13}{2}[/tex]

Question

3/5 of students at a school are boys. If there are 2420 students at the school, how many are girls?

Answer:

Step-by-step explanation:

if 3/5 are boys 2/5 are girls (5 - 3/5 = 2/5)

so 2420 * 2/5 = 968 girls

Answer: 968 girls in the school.

Step-by-step explanation:

you just multiply 3/5 by 2420 and you get how many boys are in  the school, 1452. then subtract 2420- 1452 and get 968. Hope this helped :)

Answer:

$16

Step-by-step explanation:

$10 is the original price when it is out of the factory. If they are marking it up, they are raising the price by 60%. 160% of 10 is 16, so your answer is $16. Please mark my answer as brainliest

Final answer:

To multiply 273 by 346 using the standard algorithm, follow these steps and the result is 94,608.

Explanation:

To multiply 273 by 346 using the standard algorithm, follow these steps:

Multiply the units' digits: 3 * 6 = 18. Write down the 8 and carry over the 1.

Multiply the tens' digits: 7 * 4 = 28. Add the carried-over 1: 28 + 1 = 29. Write down the 9 and carry over the 2.

Multiply the hundreds' digits: 2 * 3 = 6. Add the carried-over 2: 6 + 2 = 8.

Write down the result in the correct place value: 8 (hundreds), 9 (tens), 8 (units).

So, 273 multiplied by 346 gives us 94,608.

Answer:

Step-by-step explanation:

2÷20= 10 × 300= 3,000 miles

The distance between her house and her cousin's house is 3000 miles.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 seconds

1 minute = 60 seconds

1 km = 1000 m

We have,

2 cm = 300 miles

The distance between her house and her cousin's house.

= 20 cm

= 10 x 2 cm

= 10 x 300

= 3000 miles

Thus,

3000 miles is the distance between her and her cousin's house.

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Answer:

7/32 square meters

Step-by-step explanation:

Multiply the fractions. The numerators multiply to 7*1 = 7. The denominators multiply to 4*8 = 32. This is why (7/8)*(1/4) = 7/32. The units are "square meters" to indicate we're dealing with area instead of a linear measurement.

note: 7/32 = 0.21875

Answer:

7/32 square meters

Step-by-step explanation:

The area of a rectangle is A = L * W.

Here, that area is A = (7/8)(meter)(1/4)(meter) = 7/32 meter^2.

Answer:

The total interest is £460.

Step-by-step explanation:

Formula

[tex]Simple\ interest = \frac{Principle\times Rate\times Time}{100}[/tex]

As given

£2300 is invested for 4 years at 5% per year simple interest.

Principle = £2300

Rate = 5%

Time = 4 years

Put in the formula

[tex]Simple\ interest = \frac{2300\times 5\times 4}{100}[/tex]

[tex]Simple\ interest = \frac{46000}{100}[/tex]

Simple interest = £460

Therefore the total interest is £460.

Answer: £460

Step-by-step explanation:

Use this formula to find the total interest [tex]I=\frac{P*R*T}{100}[/tex]

I stands for interest, P is principal, R is rate, and T is time.

Principle = £2300

Rate = 5%

Time = 4 years

[tex]\frac{2,300*5*4}{100} =\frac{46,000}{100} =460[/tex]

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤

Answer:

There are no solutions.

Step-by-step explanation:

Nothing can be done further.

The given system of equations has exactly one solution for x =1 that is y = 4.

What is the system of linear equation ?

A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation.

The system of equations given is :

y = 5x - 1        ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 1

y  = -3x + 7     ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 2

Solving the system of equation by subtracting equation 2 from equation 1.

y - y = (5x + 3x) + (-1 - 7)

0 = 8x - 8

x = 1

So , for x = 1 , we have values of y as :

y = 4

and

y = 4

So, the system of equation has one value for x = 1 that is y = 4.

Therefore , the given system of equations has exactly one solution for x =1 that is y = 4.

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Answer:

The expression = 6

Step-by-step explanation:

The expression is 30/r

30/r

Substitute r=5

30/5

6

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step 2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3:Solve for the unknown in both equations.

Step 4:Check your answer analytically or graphically.

I hope this helps!

Final answer:

In mathematics, solving absolute value problems involves finding the value of an unknown variable within the absolute value expression. Here is a step-by-step process to solve an absolute value problem: Isolate the absolute value expression, remove the absolute value bars, solve the resulting equations, and check the solution. For example, to solve the equation |2x - 3| = 5, isolate the absolute value, solve for x, and check the solutions.

Explanation:

In mathematics, solving absolute value problems involves finding the value of an unknown variable within the absolute value expression.

Here is a step-by-step process to solve an absolute value problem:

Isolate the absolute value expression on one side of the equation.

Remove the absolute value bars by considering both positive and negative cases.

Solve the resulting equations to find the values of the variable.

Check the solution to ensure it is valid by substituting it back into the original equation.

For example, to solve the absolute value equation |2x - 3| = 5, we isolate the absolute value by moving the constant term to the other side: 2x - 3 = 5 and 2x - 3 = -5. Then we solve both equations separately to find the values of x: x = 4 and x = -1. Finally, we check the solutions by substituting them back into the original equation to ensure they satisfy the equation.

Answer:

see below    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Aiden's father will be 61 in 5 years:

61 - 5 = 56

Since Aiden is 1/7 of his father's age just divide his father's age by 7:

56 ÷ 7 = 8     Aiden is currently 8 years old.

Aiden                 his father                         is he 1/5 his fathers age

9                           57                                   9 x 5 = 45  NO

10                          58                                  10 x 5 = 50  NO

11                            59                                  11 x 5 = 55   NO

12                            60                                 12 x 5 = 60  YES

Aiden is 1/7 of his father's current age, and his father is currently 56. Given that we want Aiden's age to be 1/5 of his father's, the number of years that would need to pass is 14 years.

Firstly, let's determine Aiden's current age and his father’s current age. We know that Aiden's age is 1/7 of his father’s age, and that his father will be 61 in five years, meaning that his father is currently 56. Thus, Aiden, being 1/7 of his father’s age, is 8 years old.

Let's denote the number of years that we are looking for as 'x'. In 'x' years, Aiden will be 8+x years old, and his father will be 56+x. For Aiden’s age to be 1/5 of his father’s age, the following must be true: (8+x) = 1/5*(56+x). Solving this equation gives us x = 14. Therefore, in 14 years, Aiden's age will be 1/5 of his father's age.

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Answer:

option-B

Step-by-step explanation:

we are given system of inequality as

[tex]y\leq x^2-4[/tex]

[tex]y>2x-1[/tex]

now, we can check solution

At (0,0):

we can plug x=0 and y=0

and check inequality

[tex]0\leq 0^2-4[/tex]

[tex]0\leq -4[/tex]

so, this is FALSE

now, we can check second inequality

[tex]0>2\times 0-1[/tex]

[tex]0>-1[/tex]

So, this is TRUE

so, option-B

Answer: Hello mate!

we want to know if the pair (0,0) is a solution for the system, where the usual notation for a pair is (x,y), and the system is:

y ≤ x^2 - 4

y > 2x - 1

The first step is replacing the numbers in the system by the numbers in the pair, and look if the pair is a solution or not.

the first inequality gets:

y ≤ x^2 - 4

0 ≤ 0^2 - 4

0 ≤ - 4

This is false, so (0,0) is not a solution for this inequality.

Now let's see the second one:

y > 2x - 1

0 > 2*0 - 1

0 > -1

This is true, then the pair (0,0) is a solution for this inequality.

then the answer is the option B, the pair (0,0) is not a solution for the system, satisfies y > 2x - 1 but does not satisfy y ≤ x^2 - 4.

Answer:

Mary's age is 16.8 years

Jane's age is 11.2 years

Step-by-step explanation:

Let's assume Jane was x years old

Mary is twice as old as Jane a long time ago

so, Marry's age =2x

difference in age =2x-x=x years

It means that Marry is x year older than Jane

now, we have

Mary was as old as Jane is now

or we can say that

Jane is as old as Mary was

we know that

Mary =2x years

so, Jane age becomes

Jane=2x years

and we have got

As Mary is x years older than Jane

so, Mary's age =2x+x=3x years old now

now, we are given

The sum of their ages is 28

So,

Mary's age + Jane's age =28

[tex]3x+2x=28[/tex]

[tex]5x=28[/tex]

[tex]x=5.6[/tex]

Mary's age is

[tex]=3\times 5.6[/tex]

[tex]=16.8[/tex]

Jane's age is

[tex]=2\times 5.6[/tex]

[tex]=11.2[/tex]

Answer:

See picture.

Step-by-step explanation:

There you go.

Answer:3600

Step-by-step explanation:

Answer:

[tex]\dfrac{5}{3}[/tex] cups

Step-by-step explanation:

Jacob mixes [tex]\dfrac{1}{3}[/tex] cup of yellow paint for every [tex]\dfrac{1}{5}[/tex] cup of blue paint to make green paint.

The ratio of yellow paint to blue paint = [tex]\dfrac{1}{3}:\dfrac{1}{5}[/tex]

                                                               = 5:3

[tex]\dfrac{1}{5}[/tex] cup of blue paint = [tex]\dfrac{1}{3}[/tex] cup of yellow paint

  1 cup of blue paint = [tex]\dfrac{1}{3}\div\dfrac{1}{5}[/tex] cup of yellow paint

[tex]\Rightarrow \dfrac{1}{3}\div\dfrac{1}{5}[/tex]

[tex]\Rightarrow \dfrac{5}{3}[/tex]

Hence, For 1 cup of blue paint needed [tex]\dfrac{5}{3}[/tex] cups of yellow paint.

Answer: B

Step-by-step explanation:

Plz provide a 'Table'

Answer:

the answer is A.(4-g)1.5

Step-by-step explanation:

Answer:

n/3 ≤ 15

Step-by-step explanation:

Quotient = n/3

The quotient cannot be greater than 15, but it can equal 15.

n/3 ≤ 15

The quotient of a number and 3 is no more than 15 represented by x/3 ≤ 15.

Problem-solving is defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. For example, a trainer may need to figure out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

Solution:

let the number be X

x/3 ≤ 15

Quotient = x/3

Since the quotient cannot be greater than 15, it can equal 15.

                ∴ x/3 ≤ 15

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Answer: $0.58

Step-by-step explanation:

Let x represent pencil and y represent eraser

10x + 7y = 4.23   →   1(10x + 7y = 4.23)   →   10x + 7y =  4.23

3x  + y  = 0.95   →  -3(3x  + y  = 0.95)   →   -21x - 7y = -6.65

                                                                    -11x         = -2.42

                                                                  ÷-11             ÷-11      

                                                                         x        = 0.22  

      3x + y = 0.95

3(0.22) + y = 0.95

   0.66 + y = 0.95

               y = 0.29

2y = 2(0.29)  = 0.58

Answer:

p=2

Step-by-step explanation:

3(p+1)=9

3 x ? = 9

3x3=9

p+1 = 3

P=2

3(2+1)=9

3(3)=9

9=9

BRAINLIEST?

Answer:

Step-by-step explanation:

divide by three on both sides of the equal sign.

Then subtract one from from both sides of the equal sign.

the answer is    p=2

3(p+1)=9

(p+1)=3

p=2

Hello.

Y= 2/7

Step 1: Simplify both sides of the equation.

5y+2−3(4y)=0

5y+2+−12y=0

(5y+−12y)+(2)=0(Combine Like Terms)

−7y+2=0

Step 2: Subtract 2 from both sides.

−7y+2−2=0−2

−7y=−2

Step 3: Divide both sides by -7.

−7y/−7=−2/−7

y=2/7

Have a nice day.