Select the correct answer.
Select the simplification that accurately explains the following statement.
3/7 = 73
O A.
100
B.
3
(71)² = 73.71.7371-1-1 = 78 = 7² = 7
(71)² = 78.73.7} = 7.73 = 3-1-7=1-7=7
3
C.
(7³)³ = 7³. 7³. 73 = 73 + } + ³ = 7³ = 7¹ = 7
D. (73)³ = 7³. 73. 73 = 7 · (++) = 7 ⋅ = 7 · 1 = 7

Answer:

x^2 + 4x -4

Step-by-step explanation:

Simply combine all the like terms by adding:

x^2 + 0x - 5

0x^2 + 4x +1

_____________

x^2 + 4x - 4

The point of concurrency of the perpendicular bisectors represents the point P with regard to the triangle. so option D is correct.

An altitude is a line that is perpendicular to a side and passes through the opposite vertex.

Point P is the center of the circle that is circumscribed around the triangle.

Triangle is inscribed within a circle. Point P is at the center of the circle.

The point P is the circumcenter of the triangle and the point is also equidistant from all the vertices of the triangle.

The one that represents the point P with regard to the triangle.

The point of concurrency of the perpendicular bisectors

Option (D) is correct.

Learn more about the circle ;

brainly.com/question/1506955.

#SPJ1

The point of concurrency of the perpendicular bisectors represents the point P with regard to the triangle. so option D is correct.

What is altitude?

An altitude is a line that is perpendicular to a side and passes through the opposite vertex.

Point P is the center of the circle that is circumscribed around the triangle.

Triangle is inscribed within a circle. Point P is at the center of the circle.

The point P is the circumcenter of the triangle and the point is also equidistant from all the vertices of the triangle.

The one that represents the point P with regard to the triangle.

The point of concurrency of the perpendicular bisectors

Option (D) is correct.

Learn more about the circle ;

brainly.com/question/1506955.

Answer:

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

Step-by-step explanation:

note that [tex]\frac{x}{2}[/tex] represents [tex]\frac{1}{2}[/tex] x

so the coefficient of the x- term is [tex]\frac{1}{2}[/tex]

Hence, the variable y can be entirely eliminated using by applying the identity property of elimination

the numerator of the rational expression in the simplest form is z

the denominator of the rational expression in the simplest form is x

expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

we have,

             [tex](\frac{xy^3}{yz^2} )(\frac{z^3}{y^2x^2} )[/tex]

on simplifying,

we get.  [tex]\frac{z}{x}[/tex]

Hence, the variable y can be entirely eliminated using by applying the identity property of elimination

the numerator of the rational expression in the simplest form is z

the denominator of the rational expression in the simplest form is x

to learn more about expressions: brainly.com/question/1859113

#SPJ4

Answer:

475.2

Step-by-step explanation:

682 is 1.55 of the original amount so 1.55x=682

682/1.55=440

440*1.08=475.2

Answer:

22

Step-by-step explanation:

The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B

area of recntangle = bh

Rect A:

b = 5

h = 4 - 2

h = 2

bh = 5 x 2

bh = 10

Rect B:

b = 3

h = 4

bh = 4 X 3

bh = 12

Total = 10 + 12

Total = 22

The linear function x = -2.5 is plotted on the graph attached with an x intercept at (-2.5, 0)

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

A linear equation is in the form:

y = mx + b

Where m is the slope and b is the y intercept.

The linear function x = -2.5 is plotted on the graph attached with an x intercept at (-2.5, 0)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

proof given below

Step-by-step explanation:

Combine the fractions by making the denominators the same:

   [tex]\dfrac{\sin \theta}{1+ \cos \theta}+\dfrac{1+ \cos \theta}{ \sin \theta}[/tex]

[tex]=\dfrac{\sin \theta}{1+ \cos \theta} \cdot \dfrac{\sin \theta}{\sin \theta}+\dfrac{1+ \cos \theta}{ \sin \theta} \cdot \dfrac{1+ \cos \theta}{1+ \cos \theta}[/tex]

[tex]=\dfrac{\sin \theta(\sin \theta)}{\sin \theta(1+ \cos \theta)}+\dfrac{(1+ \cos \theta)(1+ \cos \theta)}{\sin \theta(1+ \cos \theta)}[/tex]

[tex]= \dfrac{\sin^2 \theta}{\sin \theta(1+ \cos \theta)} +\dfrac{1+2 \cos \theta + \cos^2 \theta}{\sin \theta(1+ \cos \theta)}[/tex]

[tex]= \dfrac{\sin^2 \theta+ \cos^2 \theta+1+2 \cos \theta }{\sin \theta(1+ \cos \theta)}[/tex]

Use the trigonometric identity [tex]\sin^2 \theta + \cos^2 \theta=1[/tex] :

[tex]= \dfrac{1+1+2 \cos \theta}{\sin \theta(1+ \cos \theta)}[/tex]

[tex]= \dfrac{2+2 \cos \theta}{\sin \theta(1+ \cos \theta)}[/tex]

Factor out 2 from the numerator:

[tex]= \dfrac{2(1+ \cos \theta)}{\sin \theta(1+ \cos \theta)}[/tex]

Cancel the common factor:

[tex]= \dfrac{2}{\sin \theta}[/tex]

[tex]\textsf{Use the identity} \quad\csc \theta=\dfrac{1}{\sin \theta}:[/tex]

[tex]=2 \csc \theta[/tex]

Hence proved.

Learn more about trigonometric identities here:

https://brainly.com/question/27938536

Step-by-step explanation:

please mark me as brainlest

The value of the relative frequency distribution of the first interval, having a frequency of 14, and the total frequency given is 40, is 0.35.

In a Relative Frequency Distribution, we list how often a data value appears and scale it using the total frequency.

The sum of Relative Frequencies adds to 1.

In the question, we are informed that the first interval has a frequency of 14.

This implies that the data appears 14 times in the first interval.

Also, we are told that the total frequency is 40.

Thus, the relative frequency can be calculated as the ratio of the frequency of the interval to the total frequency.

Therefore, Relative frequency = 14/40 = 0.35.

Thus, the value of the relative frequency distribution of the first interval, having a frequency of 14, and the total frequency given is 40, is 0.35.

Learn more about relative frequency distributions at

https://brainly.com/question/3857836

#SPJ4

The Angle that would correspond to Angle N after the transformation is; Angle N'

A polygon is defined as a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

In the transformation of  LMNOP to create polygon L'M'N'O'P', we have that;

L corresponds to L'

M corresponds to M'

N corresponds to N'

O corresponds to O'

P corresponds to P'

Thus, we can conclude that Angle N would correspond to Angle N'

Read more about Transformations at; https://brainly.com/question/4289712

#SPJ1

A (n) Shaded background Appears behind selected text so option. 4) Is  correct.

What is shading background?

Shading background is process, When  selecting a particular  text there behind the text a shad will form which shows the number of texts selected

Thus,  shaded background appears behind selected text

Learn more about related Commands here:
https://brainly.com/question/13519182

#SPJ1

Let's see

In ∆ABE and ∆CBE

So by

SAS congruence the triangles are congruent

AB=BC

Fact:-

It's already given AC is perpendicular to BD

According to general property of rhombus this parallelogram is also a rhombus.

So sides are equal hence AB =BC

Answer:

v = 130

w = 30

x = 100

y = 25

z = 30

Step-by-step explanation:

Answer:

[tex]y=5^x[/tex]

Step-by-step explanation:

[tex]y=a*b^x\\(1,5)=5=a*b^1 \implies(1)\\(2,25)=25=a*b^2\implies(2)\\(2)\div(1)=\frac{25}{5} =\frac{a*b^2}{a*b^1} \\5=b[/tex]

[tex](1)=5=a*5\implies a=1 y=5^x\implies y=5^x[/tex]

Answer:

315 chairs

Step-by-step explanation:

This question can instill your quick calculation skills which can be very useful when it comes to event planning.

1 row of chairs = 15 chairs

21 rows of chairs = 15 x 21

= 315 chairs.

Answer:

D. 62.5

Step-by-step explanation:

2 ways

1.

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

2.

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

The actual distance for a length on a map is 62.5. so correct option is D.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given The scale on a map reads 3 inches = 25 miles.

If two cities are 7.5 inches apart on the map,

Find the actual distance for a length on a map.

Let x be the actual distance

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

Thus,

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

Therefore, the actual distance for a length on a map is 62.5.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

Answer:

if boo ygdv

Step-by-step explanation:

f bi igfcnkyf f jurf

The measures of GX = 13

The measures of [tex]\angle ABX=22^0[/tex]

EX = 4z + 1  and XF = 2z + 7

Take EX and XF equal time each other and then solve for z and then you will get GX because EX = XF = GX are congruent.

EX = XF

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

4z + 1 = 2z + 7

2z = 6

z = 3

As,    EX = XF = GX

EX = 4(3) + 1

EX = 13

Therefore, GX = 13      ------      ( EX = XF = GX )

To find the angle ABX, divide the angle ABC by 2 you will get

[tex]\angle ABX=22^0[/tex]

For more information, refer to the link given below

brainly.com/question/16548605

#SPJ1

Answer:  13,  22°

Step-by-step explanation:   Trust Me!  

Answer is correct on Edge. Good Luck!  :)

GX =  13

mABX = 22 °  

Answer:

  (c)  -3.8, 3

Step-by-step explanation:

The solutions to the equation f(x) = g(x) are the values of x where the function values are equal. These are the x-coordinates of the points where the graphs of y=f(x) and y=g(x) intersect each other.

The points where the graphs cross can be estimated to be ...

  (-3.8, 6.5) and (3, -6)

The x-coordinates of these points are the solutions to the equation:

  x = -3.8, 3

The complete transformation is Rk, where k is the line with equation x = 2

The complete question is added as an attachment

From the attached graph, we can see that the triangle and its image have a common vertex at C.

This means that the triangle is reflected across a vertical line that passes through point C.

The coordinate of C is:

C = (2, -2)

The vertical line passes through the x-coordinate.

So, we have:

x = 2

Hence, the complete statement is:

The complete transformation is Rk, where k is the line with equation x = 2

Read more about transformation at:

https://brainly.com/question/11709244

#SPJ1

Answer:

187 Points

Step-by-step explanation:

Total ratio units = 17 + 14 = 31 units

Total they scored = 341 points

Therefore total units = 31 = 341 points

31 units = 341 points

1 unit = (341/31) points

1 unit = 11 points

Nina scored 17 units of the total points

17 units = (17 x 11) points

= 187 points

Answer:

72 miles/day

Step-by-step explanation:

12 m/hr  *  6 hr / day  = 72 mi/day

The best buy is from dealership B because dealership B has a lesser base price

For the purpose of this exercise, the add-on options to select are:

The total amount of the add-on options is:

Total = $500 + $1500

Total = $2000

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 17248.44

Divide both sides by (1 + 6.75%)

x  ≤ 16157.79

The solution means that the base price of the car cannot exceed $16157.78 for dealership A

The graph of the possible base price

See attachment

The total amount of the add-on options is:

Total = $750 + $1000

Total = $1750

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 16725.28

Divide both sides by (1 + 6.75%)

x  ≤ 15667.71

The solution means that the base price of the car cannot exceed $15667.71 for dealership B

The graph of the possible base price

See attachment

Buy from dealership B because dealership B has a lesser base price

Read more about inequality at:

https://brainly.com/question/25275758

#SPJ1

Graph (b) represents the data provided that option (b) would be the correct choice.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have the data shown in the table.

The equation of the line M = 3n represents the data provided,

After plotting all the points on the coordinate plane.

We will get a graph that represents the data.

Thus, graph (b) represents the data provided the option (b) would be the correct choice.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

The expected value of y when x is equals to 45 in the equation is 35.06

The equation is given as follows;

y = -2.61x + 152.51

where

Therefore,

when

x = 45

y = -2.61x + 152.51

y = -2.61(45) + 152.51

y = - 117.45 + 152.51

y = 35.06

learn more on equation here: https://brainly.com/question/14279419

#SPJ1

An expression is defined as a set of numbers, variables, and mathematical operations. The sum of three and the square root of a number is expressed as 3 + √x.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

1.) The sum of three and the square root of a number.

3 + √x

2.) Nine less than a number cubed.

x³ - 9

3.) The quotient of a number and 7.

x ÷ 7

4.) Four times a quantity plus five.

4x + 5

Hence, The sum of three and the square root of a number is expressed as 3 + √x.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral is 90° counterclockwise rotation about point A followed by the reflection across y axis and a translation 20 units down.

It should be noted that a transformation simply illustrates the change in shape.

In this case, the sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral is 90° counterclockwise rotation about point A.

This will then be followed by the reflection across y axis and a translation 20 units down.

Learn more about transformation on:

brainly.com/question/4289712

#SPJ1

Answer:

$283.07

Step-by-step explanation:

Monthly Payment Formula

[tex]\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}[/tex]

where:

Given:

Substitute the given values into the formula and solve for PMT:

[tex]\implies \sf PMT=\dfrac{15000\left(\frac{0.05}{12}\right)\left(1+\frac{0.05}{12}\right)^{60}}{\left(1+\frac{0.05}{12}\right)^{60}-1}[/tex]

[tex]\implies \sf PMT=283.0685047...[/tex]

Therefore, the monthly payments will be $283.07.