in geometry, you can use deductive rules to
A. find patterns
B. define terms
C. make conjectures
D. prove conjectures

Answer:

d. x = 5

Step-by-step explanation:

Solve for x:

x - 3 = 7 - x

Hint: | Move terms with x to the left hand side.

Add x to both sides:

x + x - 3 = (x - x) + 7

Hint: | Look for the difference of two identical terms.

x - x = 0:

x + x - 3 = 7

Hint: | Add like terms in x + x - 3.

x + x = 2 x:

2 x - 3 = 7

Hint: | Isolate terms with x to the left hand side.

Add 3 to both sides:

2 x + (3 - 3) = 3 + 7

Hint: | Look for the difference of two identical terms.

3 - 3 = 0:

2 x = 7 + 3

Hint: | Evaluate 7 + 3.

7 + 3 = 10:

2 x = 10

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 10 by 2:

(2 x)/2 = 10/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = 10/2

Hint: | Reduce 10/2 to lowest terms. Start by finding the GCD of 10 and 2.

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

Answer: x = 5

Answer:

24

Step-by-step explanation:

3^3+4-7

27+4-7

24

The value after simplifying the expression 3² + 8 ÷ 2 - (4 + 3) is 6 by using PEMDAS rule.

To simplify the expression 3² + 8 ÷ 2 - (4 + 3), follow the order of operations (PEMDAS/BODMAS):

P - Parentheses first

E - Exponents (i.e., powers and square roots, etc.)

MD - Multiplication and Division (left to right)

AS - Addition and Subtraction (left to right)

Start with the exponent:

3² = 3 × 3 = 9.

Next, perform the division:

8 ÷ 2 = 4.

Now, deal with the parentheses:

(4 + 3) = 7.

Finally, perform the addition and subtraction from left to right:

9 + 4 - 7

= 6.

So, the simplified expression is 6.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ4

Answer:

63

Step-by-step explanation:

15 dolls-

15 x 3 = 45 stuffed animals

45+18 = 63

Answer:

  13.7

Step-by-step explanation:

x is the side of the triangle opposite the given angle. 47 is the hypotenuse of that triangle. The trig function that relates the opposite side and the hypotenuse is ...

  Sin = Opposite/Hypotenuse

  sin(17°) = x/47

  x = 47·sin(17°) ≈ 13.7

The value of x is 13.7.

Answer:

They are using public relations advertising

Answer:

Public relations.

Step-by-step explanation:

Because charity events can provide a company with publicity, which is part of public relations.

Answer:

The slope is 3.

Step-by-step explanation:

So we have the equation:

[tex]y=3x-2[/tex]

This is in the slope-intercept form, where:

[tex]y=mx+b[/tex]

Here, m is the slope and b is the y-intercept.

From the original equation, m is 3 and b is -2.

In other words, our slope is 3.

So, the slope of the equation is 3.

And we're done!

Answer:

3.75 Or 15/4

Answer:

15/4 or 3.75

Step-by-step explanation:

[tex]\frac{5}{4} : \frac{1}{3} = \frac{5}{4} . 3 = \frac{5 . 3}{4} = \frac{15}{4}[/tex]

Answer : The correct option is, (B) 1500 cubic yards.

Step-by-step explanation :

Formula used to calculate the volume of square pyramid is:

[tex]V=\frac{a^2\times h}{3}[/tex]

where,

V = volume of pyramid

a = base edge of pyramid

h = height of pyramid

Given:

Base edge of pyramid = 15 yards

Height of pyramid = 20 yards

Now putting all the given values in the above formula, we get:

[tex]V=\frac{a^2\times h}{3}[/tex]

[tex]V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}[/tex]

[tex]V=1500\text{ yards}^3[/tex]

Therefore, the volume of pyramid is 1500 cubic yards.

Answer:

(B) 1500 cubic yards.

Step-by-step explanation:

took usatestprep

Answer:

[tex]f(-3)=24[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=|4x-2|+10[/tex]

To find f(-3), substitute -3 for x:

[tex]f(-3)=|4(-3)-2|+10[/tex]

Multiply within the absolute value:

[tex]f(-3)=|-12-2|+10[/tex]

Subtract:

[tex]f(-3)=|-14|+10[/tex]

The absolute value of -14 is 14. Thus:

[tex]f(-3)=14+10[/tex]

Add:

[tex]f(-3)=24[/tex]

And we're done!

Answer:

[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C

Step-by-step explanation:

Required:

indefinite integral of  ∫ 9x √13 dx

To solve this, follow these steps:

(i) Place the constant values 9 and √13, at the front of the integral

9√13 ∫x dx

(ii) Now find the integral of x with respect to x by applying the power rule

9√13 [[tex]\frac{x^2}{2}[/tex]] + C

[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C           [Where C is any constant]

Therefore the indefinite integral of the given expression is [tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C

Distance = speed x time

Let the time to the appointment = x

The time home would be x + 1/4 hour

set up an equation you have 90x = 80(x + 1/4)

Simplify:

90x = 80x + 20

Subtract 80x from both sides:

10x = 20

Divide both sides by 10:

x = 2 hours

Distance = 90 x 2 = 180 miles

Answer:

A: They are congruent and complementary.

Step-by-step explanation:

Just took the test hope this helps :D

Answer:

A

Step-by-step explanation:

it was correct on edge2020 so

(shrug)

Answer:

Sure what class (algebra, triginometry etc...) and do you have discord

Step-by-step explanation:

Answer:

4/5 and 3/4 are not the same, so maybe you should write Not Defined or something?

Step-by-step explanation:

Answer:

31/20

Step-by-step explanation:

Get a common denominator for the numbers:

4/5 = 16/20

3/4 = 15/20

4/5+3/4 = 16/20+15/20 = 31/20

There will be 4 times the number of M&M's to the number of sunflower seeds according to the ratio.

Using this, we can create a proportion.

[tex]\frac{4}{1}=\frac{2}{x}[/tex]

[tex]x=\frac{1}{2}[/tex]

There will be [tex]\frac{1}{2}[/tex] pounds of sunflower seeds needed, or 8 ounces.

Hope this helps.

頑張って!

Step-by-step explanation:

3x - 2x = 2

x = 2

2. 3x + 5 = 4x + 1

4x - 3x = 5 - 1

x = 4

3. 6x + 3 = 3x + 12

6x - 3x = 12 - 3

3x = 9

x = 3

Answer: 324

Step-by-step explanation: Firstly,  multiply 9x12. And that is 108. Since in the problem it says "Three times the sum" you would multiply 108 by three and get 324.

Answer:

The square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers...

Answer:

Yes, unless X is a perfect square, sqrt(X) is irrational

Step-by-step explanation:

The proof where X= 2 is an example of the general proof: Supposesqrt(X) is rational, then there exists integers p and q such that (p/q)^2 = 2, we can cancel any common factors out of p and q so these are the simplest integers which satisfy the equation.

Answer:

Step-by-step explanation:

The problem statements needs to be properly formatted

3.5, -2.1, √ 9, -7/2, and√5.

let us find all square roots given in the list

√ 9= 3

√5= 2.23

hence we have 3.5, -2.1, 3, -7/2, and 2.23.

Also let us convert all fractions to decimal numbers

-7/2= -3.5

3.5, -2.1, 3, -3.5 and 2.23.

from least to greatest we have

-3.5,-2.1,2,2.23,3,3.5

or

3.5, -2.1, √ 9, -7/2, and√5.

-7/2,-2.1,√5, √9, 3.5

Any value that makes an equation true is a 'solution of that equation'.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If any number or value satisfy the given equation or makes an equation true is called solution of the given equation.

So, The complete sentence is,

Any value that makes an equation true is a ''solution of that equation.''

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

hope it helps

comment if u have any questions

Step-by-step explanation:

The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.

Answer:

Assuming you're asking how to find the mid-point given two end-points. A really simple way is the take the two end-points, add the x coordinates and the y coordinates and divide both by 2.

Answer:

A and D

Step-by-step explanation:

Given that the area of a square = 400 units² = s²

Where s is one side length of the square.

It means that the side length (s) = √400 = 20

If the length of each side length increase by 1 units, new side length = 21 units

Area of new square = 21² = 441

The following statements would be true if the side length was increased by 1 units:

A. "The area of the square would be a rational number"

441 is a rational number, because a rational number is a quotient of two integers.

441 and 1 are two integers. Their quotient = 441. I.e. 441 ÷ 1 = 441

D. "The area of the square would be a perfect square".

A number is considered a perfect square if it can be expressed as a product of two equal integers.

441 can be expressed as 21*21

Answ

Step-by-step explanation:

Answer:

The percentage of country A population to the world population

= 3.05%

Step-by-step explanation:

Country A population as of 2016

= 226 million

= 226000000

The world population as of 2016

= 7.4 billion

= 7400000000

The percentage of country A population to the world population

= Country A population /The world population

The percentage of country A population to the world population

= 226000000/7400000000

The percentage of country A population to the world population

= 0.03054

Now multiplying by 100

= 3.05%

The percentage of country A population to the world population is  3.05%

Given that,

Based on the above information, the calculation is as follows:

[tex]= 226000000\div 7400000000[/tex]

= 0.03054

= 3.05%

Learn more: https://brainly.com/question/6269728?referrer=searchResults

Answer:

Step-by-step explanation:

In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.

here is a way to do it

given the following expression

[tex]3xy+21x+9[/tex]

From the expression above we can see that 3 is common to all the terms of the expression so that we have

[tex]3(xy+7x+3)[/tex]

hence the second option is the correct answer

Answer: C

Square the binomial

The Simplification of the given expression : [tex]10n -n ^2 - 9[/tex]

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Brayden wants to simplify the given expression;

[tex]4n - (n -3)^2[/tex]

He begins by distributing the negative to the terms inside the parentheses. This is a wrong approach to simplify the given expression.

He should have done the following steps;

First square the term, then distribute the negative sign and then combine the like terms.

[tex]4n - (n -3)^2[/tex]

Simplification of the given expression:

[tex]4n - (n ^2 - 6n + 9)\\\\4n -n ^2 + 6n - 9\\\\10n -n ^2 - 9[/tex]

Learn more about expression here;

https://brainly.com/question/14083225

#SPJ2

Answer:

look at the picture to get the solution

Hope it helps

The difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.

A financial charge that is imposed on a taxpayer in order to fund government spending and public expenditures is called tax. It is imposed by a governmental organization. It is a compulsory charge.

Given is tax credit and a tax deduction.

Tax credits and a tax deductions are same in a way that they will decrease what you pay in taxes. However, the method in which each of them work is quite different. Tax deductions lower your taxable income and will reduce what you'll pay in taxes, while tax credits reduce your tax bill dollar for dollar and may even increase your refund.

Therefore, the difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.

To solve more questions on tax credits and deductions, visit the link below-

https://brainly.com/question/16857625

#SPJ2

Answer: B

Step-by-step explanation:

trust