I need helpp!! match the building block of geometry to the statement that defines it.

1)DIAGRAM

A)a formal statement declaring the meaning of
a word

2)DEFINITION

B)a visual tool representing mathematical
ideas to be interpreted

3)THEOREM

C)a mathematical statement proven using
postulates and definitions

4)POSTULATE

D)a mathematical statement taken as a fact

Answers

Answer 1

Answer:

1) [tex]DIAGRAM \mapsto B[/tex]  

2) DEFINITION [tex]\mapsto A[/tex]

3) THEOREM [tex]\mapsto C[/tex]

4) POSTULATE [tex]\mapsto D[/tex]

Step-by-step explanation:

1) DIAGRAM  B) A visual tool representing mathematical ideas to be interpreted

A diagram is the depiction or representation of information using symbols

2) DEFINITION A) A formal statement declaring the meaning of a word

A definition is a statement that outlines the meaning of a word or a group of words or a diagram, or a symbol or sign

3) THEOREM C) A mathematical statement proven using postulates and definitions

A general statement of a proposition that is by itself not evident, but given proof by a combination of postulates

4) POSTULATE D) A mathematical statement taken as a fact

An assumed truth taken as the foundation for further reasoning


Related Questions

Change y = – 2/3 x + 7 into standard form

Answers

Answer:

2x + 3y = 42

Step-by-step explanation:

Standard form should be like:

=> ax + by = c

To make an equation like the above one, we need to do the point-slope form first.

=> y - y1 = slope (x - x1)

Slope = -2/3

Y-intercept -> to find the y-intercept, we need to make the 'x' as 0.

=> y = -2/3 * 0 + 7

=> y = 7

X-intercept -> to find the x-intercept, we need to make 'y' as 0.

=> 0 = -2/3x + 7

=> -7 = -2/3x

=> -21/2 = -x

=> -10.5 = -x

=> 10.5 = x

So, x and y intercepts are 10.5 and 7.

We can now write the point-slope form:

=> y - 7 = -2/3 (x - 10.5)

=> y - 7 = -2/3x + 21/3

=> y = -2/3x + 7 + 7

=> y = -2/3x + 14

=> 2/3x + y = 14

=> Multiply all numbers by 3

=> 2x + 3y = 42

Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28

Answers

x2 – 3x – 28 = (x-7)(x+4)

Answer:

On the top:-28

On the bottom: -3

On the sides: -7 and 4

X2-3x-28=(x-7)(x+4)

Step-by-step explanation: I got it correct on Edge

How many of the positive integer factors of 15552 are perfect squares?

Answers

There are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

What is factors?

Factors can be define splitting the value in multipliable values.

Factorization of 15552
= 1 * 4 * 4 * 4* 9 * 9 * 3


Perfect squares can be formed by above factors are
= 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Thus, there are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

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Help me please sssssssssssssssssssssssssssss

Answers

I don’t understand the language where the problem is.

Answer:

0[tex]-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin \left(30^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \sin \left(30^{\circ \:}\right)=\frac{1}{2}\\\\\mathrm{Use\:the\:following\:trivial\:\\identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\\=\frac{1}{2}+\frac{1}{2}-1\\\\=0[/tex]

[tex]\\\cos \left(60^{\circ \:}\right)+\tan \left(30^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\\\\=\frac{1}{2}+\frac{\sqrt{3}}{3}-1\\\\=-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]

Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Answer:

[tex]y = 8x -67[/tex]

Step-by-step explanation:

Given

(9,5) and (8,-3)

Required

Determine the line equation

First, we need to determine the slope  of the line: using

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where

[tex](x_1,y_1) = (9,5)[/tex]

[tex](x_2,y_2) = (8,-3)[/tex]

So;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes

[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]

[tex]m = \frac{5 +3}{9 - 8}[/tex]

[tex]m = \frac{8}{1}[/tex]

[tex]m = 8[/tex]

The line equation using point slope form is calculated as thus:

[tex](y- y_1) = m(x - x_1)[/tex]

Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have

[tex]y - 5 = 8(x - 9)[/tex]

Open the bracket

[tex]y - 5 = 8x - 72[/tex]

Make y the subject of formula

[tex]y = 8x - 72 + 5[/tex]

[tex]y = 8x -67[/tex]

The graph of y=3x^2-3x-1 is shown. Use the graph to find estimates for the solutions of i)3x^2-3x+2=2 ii) 3x^2-3x-1=x+1

Answers

Intersection point of graph of function is known as solution of the function.

Graph is attached below, in which solution is shown.

1. Here, given that  [tex]3x^2-3x+2=2[/tex]

It can be written as,   [tex]y=3x^2-3x+2\\\\y=2[/tex]

Intersection point of graph of above two equation will be the solution of given function,

Solutions are (1, 2) and (0, 2)

2. Given that , [tex]3x^2-3x-1=x+1[/tex]

It can be written as

                [tex]y=3x^2-3x-1\\\\y=x+1[/tex]

Intersection of graph of above two equation will be the solution of given equation.

Solutions are  (1.721, 2.721) and (- 0.387, 0.613)

Both graph attached below,

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PLEASE HELP, WILL GIVE BRAINLIEST The number of views on an interesting video after it's uploaded is represented by the following table: Time (days) Views 000 101010 444 452452452 888 889889889 121212 133013301330 161616 177017701770 202020 221122112211 Which model for V(t)V(t)V, left parenthesis, t, right parenthesis, the number of views ttt days after it's uploaded, best fits the data?

Answers

Answer:

Option C

Step-by-step explanation:

Options A, B, C, and D all satisfy the base case of V(0) = 10; however, they also all fail the next step case of V(4) = 452.

A at t = 4, results in 163047.361

B at t = 4, results in 1770

C at t = 4, results in 450 (close but not 452)

D at t = 4, results in 41740124.42

Note that at option C, we had the closet value 450 which is only 2 from 452 whereas the next closet was 1218 away.

Choose option C as the curve of best fit.

Cheers.

Answer:

c

Step-by-step explanation:

HELP NOW LOOK AT SCREENSHOT

Answers

Answer:

They are similar because corresponding sides are not proportional

n/6=9/3? i dont what this is can someone please help me!!!!

Answers

Answer:

[tex]\boxed{n=18}[/tex]

Step-by-step explanation:

[tex]\frac{n}{6} =\frac{9}{3}[/tex]

[tex]\sf Divide \ 9 \ by \ 3.[/tex]

[tex]\frac{n}{6} =3[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 6.[/tex]

[tex]\frac{n}{6} \times 6 =3 \times 6[/tex]

[tex]n=18[/tex]

Answer:

n = 18

Step-by-step explanation:

n/6 = 9/3

Simplify the right side

n/6 = 3

Multiply each side by 6

n/6 *6 = 3*6

n = 18

What is the inverse of the function g(x)=-3(x+6)? g^-1(x)=

Answers

Answer:

[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]

Step-by-step explanation:

First assign a letter "y" to g(x) and get rid of parenthesis on the right:

[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]

Now, solve for "x":

[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]

now replace y with x, and call x : [tex]g^{-1}(x)[/tex]

[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]

Answer:

-6 - [tex]\frac{x}{3}[/tex]

Step-by-step explanation:

Sketch the graphs y=1/3x+2

Answers

Answer:

mark a dot 2 on the y axis and from there go up one right 3 until you can anymore then go back to the two and go down one left 2

Step-by-step explanation:

Who’s salary represents the median of the data in the table?

Answers

Answer:

Rajesh salary is the median

Step-by-step explanation:

Am not good in explanation

Answer:

1: Ram

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values

if we put these salaries in order we can find out what the median salary is.

32,701 , 45,600 , 52,000 , 67,250 , 71860.

The number in the centre or the middle is 52,000. That is Ram's salary.

The answer is 1. Ram

I hope you find this useful, rate me the brainliest if you did ;)

How much did it cost Mark to drive 775 miles? If his car makes 31 mpg and fuel cost $2.00 per gallon.

Answers

Answer:

$50.00

Step-by-step explanation:

775/31=25

25x2=50

Please help quickly!!
A truck is driving up a hill with a 24% grade, so it climbs 24 feet vertically for every 100 feet horizontally.
What is the slope of the hill?

Answers

Answer:

6/25

Step-by-step explanation:

rise / run

24/100 = 6/25

Answer:

[tex]\frac{6}{25}[/tex]

Step-by-step explanation:

The slope of any relationship is always rise over run. This means the vertical distance traveled over the horizontal distance traveled will get us our slope.

We travels 24 feet vertically for every 100 feet horizontally, so:

[tex]\frac{24}{100}[/tex].

We can simplify this fraction to find the slope in fraction form.

[tex]\frac{24\div4}{100\div4} = \frac{6}{25}[/tex]

So the slope of this equation is [tex]\frac{6}{25}[/tex].

Hope this helped!

E
What is the value of x in the equation 3x.. by y 18, when y27

Answers

Answer:

x = 15

Step-by-step explanation:

We need to find the value of x in the equation 3x – y = 18 when y = 27.

To find the value of x, put y = 27 in the above equation.

So,

3x - 27 = 18

3x = 45

x = 15

So, the value of x is 15.

HELP ASAP
Points $A(-1, -2)$ and $B(3, 2)$ are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of $\pi$.

Answers

Answer:

8π units²

Step-by-step explanation:

center=((-1+3)/2,(-2+2)/2)=(1,0)

[tex]radius~r=\sqrt{(3-1)^2+(2-0)^2} =\sqrt{4+4} =\sqrt{8} \\area~of~circle=\pi r^2=\pi \times (\sqrt{8} )^2=8\pi ~square~units.[/tex]

the area of a square is given by s2 and the perimeter is given by 4s, where s is the side length of the square if the side length of a square is 4 inches its area is ... square inches and its perimeter is ... inches

Answers

Answer:

Area = s² = 4² = 16 sq. In.

Perimeter = 4s = 4(4) = 16 in.

88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour?

Answers

Answer:

1.46666666667 feet per second

Step-by-step explanation:

60 miles per hour = 88 feet per second

=> 60/60 miles per hour = 88/60 feet per second

=> 1 mile per hour = 1.46666666667 feet per second

Anyone know the answer to this... Thanks

Answers

Answer:

coefficients are the number attached to the variables :75d+8w+25

75 , 8 and the constant is 25. the variables are d and w

if he works for 5 days(d) and installed 48 windows(w)

75 d + 8 w+25

75(5)+8(48)+25= 784 dollars

if Javier get increase of 40 dollars for snack, only the constant  change, because the coefficient depends on work days and the number of windows installed, and since only the increase in his stipend, therefor the increase will be the constant value only.

Help plz ASAP!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = lbh ( l is length, b breadth and h is height )

Here l = 7, b = 2 and h = 4 , thus

V = 7 × 2 × 4 = 56 in² → D

the formula for the volume of a rectangular prism is length x width x height. substitute 4, 7, and 2, in for l x w x h and you get 56. so your answer is D. 56 in^3

como resuelvo esto y=1+2(4/5)

Answers

Answer:

Es 2.6

Step-by-step explanation:

Answer: translate

Step-by-step explanation:

what is 32 – 21 + 10x – 12x

Answers

Answer:

11 - 2x

Step-by-step explanation:

Given

32 - 21 + 10x - 12x ← collect like terms

= 11 - 2x

Find the product (4x-3y)(2x+5)

Answers

Answer:

8x²−6xy+20x−15y

Step-by-step explanation:

(4x−3y)(2x+5)

=(4x+−3y)(2x+5)

=(4x)(2x)+(4x)(5)+(−3y)(2x)+(−3y)(5)

=8x²+20x−6xy−15y

=8x²−6xy+20x−15y

Which statement about the relationship shown in the graph is true?

Answers

Answer:

third option

Step-by-step explanation:

In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.

Given f(x) = 2x - 7, complete parts (a) through (c).
A. Solve f(x)=0.
B. What do the answers to parts (a) and (b) tell you about the graph of y=f(x)

Answers

Answer:

a) x=7/2

Step-by-step explanation:

a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.

Then value of [tex]x[/tex] is 7/2

What is function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

given function:

[tex]f(x)[/tex]= 2[tex]x[/tex] -7

So,[tex]f(x)[/tex]= 0

2[tex]x[/tex] -7=0

2[tex]x[/tex]= 7

[tex]x[/tex]= 7/2

The graph is attached below.

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how many are 4 raised to 4 ???​

Answers

Answer:

256

Step-by-step explanation:

The expression 4 raised to 4 can be written in mathematical term as [tex]4^4[/tex] and this means the value of 4 in four places as shown;

[tex]4^4\\\\= 4 * 4* 4* 4\\\\= (4 * 4)* (4* 4)\\\\= 16*16\\\\= 256\\\\[/tex]

Hence the expression 4 raised to 4 is equivalent to 256

Pls answer this question as soon as possible​

Answers

Answer:

The answer is -½.

✌ yeah it is ✌

The length of country & western songs has mean 151 seconds and standard deviation 30 seconds. Determine the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds.

Answers

Answer:

48.514%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x -μ)/σ,

where x is the raw score = 149.75

μ is the sample mean = population mean = 151 seconds

σ is the sample standard deviation

= Population standard deviation/√n

Where n = 20 songs

Population standard deviation = 30

Hence, sample standard deviation

30/√20

= 6.7082039325

z = (x -μ)/σ

z = 149.75 - 150/6.7082039325

z = -0.03727

Using the z score table to find the probability, we have :

P(x<149.75) = 0.48514

In percent = 0.48514 × 100

= 48.514%

Therefore, the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds is 48.514%

According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?

Answers

Answer:

Graphing Calculator

Step-by-step explanation:

A 2-column table with 8 rows. The first column is labeled x with entries negative 6, negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 34, 3, negative 10, negative 11, negative 6, negative 1, negative 2, negative 15. Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing? (–6, –3) (–3, –1) (–3, 0) (–6, –5)

Answers

Answer:

Step-by-step explanation:

The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.

Based on the values given in the table for f(x), the interval of x-values that show the function increasing is (-3, -1).

Which interval shows the function increasing?

The value of f(x) was decreasing from 34 until it got to -11 where it then started to rise again. The relevant value of x here is -3.

The value then began to rise until it reached -1 where it then fell to -2. The x value here is -1.

The interval of x-values where the function is increasing is therefore (-3, -1).

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