0n Monday the school library started the day with 12,765 books. During the day students checked out 398 books, and a certain number of books were returned. If the library ended the day with 12,479 books, how many books were returned?

A rectangle as the only parallelogram that can be inscribed in a circle.

A rhombus's opposite angles are congruent. If a rhombus has an angle, it has one pair of opposite angles that are and another pair of opposite angles that are. Because opposite angles are not supplementary, this rhombus cannot be encircled.

Because not all quadrilaterals can be inscribed in circles, they are not all cyclic quadrilaterals. If and only if the opposite angles of a quadrilateral are supplementary, it is cyclic.

A rectangle is the only parallelogram that can be inscribed in a circle. The important point is that the radius of the circle is R, because every rectangle can be inscribed in a (unique circle). (I believe.) One of the properties of a rectangle is that the diagonals bisect in the 'center,' which is also the circumscribing circle's center.

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The graph of f(x) is shifted 5 units to the left to create g(x).

A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.

The most basic parent function is called a constant function.

Types of Parent Functions

There are multiple forms of parent functions. Some types of parent functions are:

Constant function: A horizontal line that intersects the y-axis.

Square root function: The inverse function of a quadratic function following the form f(x)= [tex]\sqrt{x}[/tex]

Cube root function: The inverse function of a cubic function in the form f(x)= 3     [tex]\sqrt{x}[/tex]

A parent function is the simplest form that a function can be. Its basic shape is not in any way altered.

For instance, when you see a u-shaped graph that is inverted and vertically stretched, you should still recognize that it is a parabola which has undergone different transformations

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Answer:

The graph of f(x) is shifted 5 units to the left to create g(x).

Step-by-step explanation:

Answer:

multiply 4 times x and 3

Step-by-step explanation:

this is because the first step needed to solve is to expand it into 4x+12=12, so that u can solve it from here:

4x+12 =12

4x=12-12

4x=0

x=0/4

x=0

hope this helps :)

Answer: c. subtract three from both sides of the equation

Step-by-step explanation: you want to get the variable by itself. To do this reverse the subtraction or addition. In your case change the addition to subtraction.

We can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.

So,

Given: BA ≅ DC, ∠ B A C ≅ ∠ D C A

To Prove: BC ≅ DA

First, we'll prove the △BAC ≅ △DAC

So, △BAC ≅ △DAC under SAS conditions.

Therefore, we can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.

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The amount that Jared needs before taxes for his new computer is $606.19

What does before-tax price mean?

The before-tax price means the amount that Nick needs to acquire the laptop before considering the sales  tax of 7.25%, but after having factored in the layway fee of 1.2%

before-tax price=cost of computer*(1+layway fee %)

cost of computer=$599

layway fee=1.20%

before-tax price=$599*(1+1.2%)

before-tax price=$ 606.19

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The equation of the line 2x - y = 9 expressed in slope-intercept form is y = 2x - 9 with a slope equal to 2.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

Given the equation of the line 2x - y = 9, which is in standard form, transform it into slope-intercept form by isolating the variable y in one side.

2x - y = 9

y = 2x - 9

Hence, the equation of the line in slope-intercept form is y = 2x - 9 where the slope is equal to m = 2.

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The approximate rate of change in attendance from 2001 to 2005 is 1657.  

Rate of Change of value is defined as the change in value over an interval of time.

Denoted by [tex]rate.of.change=\frac{change.in.value}{time}[/tex]

In the given question

Attendance in the year 2001 = 450746

Attendance in the year 2005=457373

Time = 2005-2001= 4 years .

[tex]rate.of.change=\frac{value.in.2005-value.in.2001}{2005-2001}[/tex]

rate of change = [tex]\frac{457373-450746}{4}[/tex]=[tex]\frac{6627}{4}[/tex]=1656.75≅1657

this  means that attendance increases about 1657 per year.

Therefore , the approximate rate of change in attendance from 2001 to 2005 is 1657 .

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The value of both x and y are 6 degrees in the given figure of arrangement.

What is angle bisector ?

angle bisector is the line which divides the given angle into two equal parts.

a) Here, the line RQ is the angle bisector of angle ∠WRV that is RQ line divides the angle ∠WRV into two equal parts and it is given that :

angle ∠WRQ is 48 degrees

and, angle ∠QRV is 7y+6

Therefore, ∠WRQ = ∠QRV

7y+6 = 48

7y = 48-6

7y = 42

y = 6 degrees

b) It is given that CR is perpendicular to PR that is angle ∠CRP will make 90 degrees and it is given as :

∠CRP = 13x + 12 degrees

90 = 13x + 12

13x = 78

x = 6 degrees

Therefore, the value of both x and y are 6 degrees.

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Answer:  i got it

Step-by-step explanation:

i hope this helped

Answer:

a. -10

b. -2

c. 10

d. 2

e. -2

f.  2

Answer:

a. = -10 b.=-2 c.=-2 d.=+2 e.=+2 f.=+10

Answer:

48 dollars

Step-by-step explanation:

its $48 dollars

Answer:

-12+60 = 48 Result :$48

Step-by-step explanation:

-12+60 = 48 Result :$48

assuming 4x+21=6x-23

then you can get x by doing

4x+21=6x-23

21=2x-23

44=2x

x=22

4x+21= 109

6x-23= 109

The slope-intercept equation of the line with a slope of -13 that goes

through (5, 7)

y = -13x + 72

point slope form:  y = MX + b

m = slope, b = y-intercept

y = -13x + b  through (5,7)

Use the given point as (x,y) to find b

7 = -13(5) + b

7 = -65 + b

b = 72

y = -13x + 72

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.  the web change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx. Where “m”  is the slope of a line. So, tan θ to be the slope of a line. Pick two points on the road and determine their coordinates.

Determine the difference in y-coordinates of those two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope). Whenever the equation of a line is written within the form y = MX + b,  

it's called the slope-intercept form of the equation. The m  is the slope of the line. And b  is that the b in the point that is the y-intercept (0, b).  for instance, for the equation y = 3x – 7, the slope is 3,  and therefore the y-intercept is (0, −7).

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Answer:

Step-by-step explanation:

x = number of math problems left to do

x + 8 = 17

    x = 17 -8

    x = 9

Kamyle needs to do 9 more math problems

Answer:

[tex]x = 1 + \frac23c[/tex]

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The solution for x is [tex]x = 1 + \frac23c[/tex].

Step-by-step explanation:

when x increases by 1. y decreases by 7.

e.g. from (-4, 7) to (-3, 0).

the slope is therefore -7/1 = -7.

the slope is always the factor of x in the equation.

y = -7x + b

b is the y-intercept (the y value when x = 0).

let's use e.g. (-3, 0) to get b :

0 = -7×-3 + b = 21 + b

b = - 21

so, the full equation is

y = -7x - 21

The fraction equivalent to 24 /56 is  6/14.

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

Scale the numerator and the denominator down by a factor of 4.

According to given question we have

Down by a factor of 4 means divide  by 4.

when you scale the numerator and denominator down by 4, you just divide both of them by 4.

So since 24 divided by 4 is 6 and 56 divided by 4 is 14,

The answer is 6/14.

Therefore, the fraction equivalent to 24 /56 is  6/14.

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Answer:

true

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

= 24/6+2^3*4

= 24/6+8*4

= 4+8*4

= 4+32

= 36

Answer:

Length is 26.25 and width is 21.25

Step-by-step explanation:

the length is gonna be the width but plus 15, so W+15, and we know that there's 2 widths and 2 lengths in a perimeter so were gonna start off our algebraic expression like this:

2(15+W)+2W=115

distribute the 2

30+2W+2W=115

combine like terms

30+4W=115

subtract 30 from both sides

4W=85

divide 4 from both sides

W=21.25

now plug in our width value into W+15 to find length

W+15

21.25+15=L

36.25=L

Answer:

-18.6

Step-by-step explanation:

I simply just did multiplication

 I multiplied the whole numbers alone and did the same with the fraction

then you add the two products and get your answer

Answer:

Mean:  76

Median:  69

Mode:  63

Range: 46

Standard deviation: 15.5

Step-by-step explanation:

Given:

If each value in the data set is increased by a constant k, the mean, median, and mode will be increased by k.  

The range and standard deviation will remain unchanged.

Therefore, if each value in the data set is increased by 14:

For the given inequality 6 x+9<7 x, x is greater than 9

Inequality is the relation between two expressions linked by the arithmetic expression other than equal sign. Such as less than (<), greater than (>), less than equal to (<=) and greater than equal to (>=).

Let's solve the inequality

6 x+9<7 x

Separate the variables and constants by moving them on the same side. Such as

9<7x-6x

9<x

We want to keep the variable on the left side. Then, just interchange the positions.

x>9

Therefore, it is clear that x is greater than 9.

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Answer:

B

Step-by-step explanation:

9x is the variable in the question

Answer:

Hope this helps :)

24.263 = 24.3

341.276 = 341.28

299.61 = 300

4,123.499 = 4,123

5.246 = 5.25

Step-by-step explanation:

When rounding first look at the number next to the place that is told to rounded to (for example, they tell you to round to nearest tenth, then look at the place value next to it). If that number is 1, 2, 3, or 4 then round down, and if that number is 5, 6, 7, 8, or 9 then round up.

The explicit formula can be found in three easy steps. Find the first term and the common difference of the arithmetic sequence first. Replace the values in the explicit formula's nth term.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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The likelihood that Zoe would then strike out in her further at bat this season is calculated.

The various findings or components in a pie chart are depicted by the sectors of a circle, and the entire circle symbolizes the total of the value of each of the components. Obviously, the overall angle of 360° at the central point of the circle is divided by the component values.

Now, for the stated question; It is mentioned that-

Step 1: Last season, Zoe struck out in 10% of her at-bats.

Thus, the probability that the Zoe struck out in her at-bats is 10%.

Then, the probability that the Zoe does not struck out in her at-bats is 90%.

Step 2: The simulation will have 40 trials.

Step 3: We can employ a spinner split into two sectors, one that included 10% of the spinner's area while the other 90%. Determine the central angle of the each sector.

Zoe got thrown out =10% of 360° = 36° Sector yellow

Zoe does not strike out (90 percent of 360° = 324°).

Consider the blue sector in the graph.

Step 4: A trial consists of one spin of the spinner and one strike on the bat by Zoe.

A successful trial means Zoe did not strike out, while a failed trial implies Zoe did strike out. The simulation will include 40 trials.

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Answer:

40, 28

Step-by-step explanation:

Let the numbers be x and y. The sum of two numbers is 68 and the difference is 12.

[Assuming x > y]

Now add these equations,

[tex]\Rightarrow[/tex] x + y + x - y = 68 + 12

[tex]\Rightarrow[/tex] 2x = 80

[tex]\Rightarrow[/tex] x = 40

Then, y = 68 - 40 = 28

Hence,

The required numbers are:

Some tips:

Using the converse of same-side interior angle theorem, the complete proof that shows why lines l and m are parallel is explained below.

According to the converse of same-side interior angle theorem, if two same-side interior angles that are formed on two lines that are intersected by a transversal are supplementary, then the two lines are parallel to each other.

To prove that lines l and m are parallel to each other, the following proof with statements and reasons that justify each are given below:

Statement                                                 Reasons                                        

1. <2 and <5 are supplementary             1. Given

2. <3 ≅ <2                                                 2. Vertical angles theorem

3. <3 and <5 are supplementary            3. Transitive property

4. l║m                                                        4. converse of same-side interior        

                                                                     angle theorem

Thus, using the converse of same-side interior angle theorem, the complete proof that shows why lines l and m are parallel is given above.

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