Match the terms to their definition.
1. corresponding parts
having the same exact size and
shape
2. congruent
3. Similar figures
figures that have the same shape
but not necessarily the same size
the ratio between the lengths of
corresponding sides in similar figures
angles or sides in the same position
on similar figures
figures that have the same size and
4. congruent figures
5. scale factor
shape
NEXT QUESTION
READ NEXT SECTION
O ASK FOR HELP
TURN IT IN

Answer:

You will only be able to buy two at the original price the following day.

Step-by-step explanation:

You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price.

If x = original cost of one CD

80% of one CD = 0.8x

0.8x = the price you pay for one discounted CD

You buy 4 of the discounted CDs for $30.40

4(0.8x) = 30.40

solve for x, the original cost of one CD

3.2x = 30.40

x = 9.50

The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs?

25$ / $9.50 = 2.63 CDs

Answer:

he is talented

Step-by-step explanation:

Answer:

f(g(x)) = 2x - 5

Step-by-step explanation:

If f(x) = 2x + 1 and g(x) = x - 3

Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)

f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5

Answer:

[tex]\huge \boxed{f(g(x))=2x+-5}[/tex]

Step-by-step explanation:

The functions are given,

[tex]f(x)=2x+1[/tex]

[tex]g(x)=x-3[/tex]

To find [tex]f(g(x))[/tex], the input for the function f of x will be g of x.

[tex]f(g(x))=2(x-3)+1[/tex]

Expand brackets.

[tex]f(g(x))=2x-6+1[/tex]

Combine like terms.

[tex]f(g(x))=2x-5[/tex]

Subtract original amount from new amount:

84 - 39 = 45

He bought 45 books.

Answer:

She bought 5 pounds

Step-by-step explanation:

Original worth of gift card = $80

Balance on card after purchase = $39.55

Amount used for purchase = 80 - 39.55 = $40.45

Next let us determine how many pounds of coffee she bought as follows:

Price of coffee = $8.09 per pound

amount spent on coffee = $40.45

Lett the number of pounds of coffee she bought be x

$ 8.09 = 1 pound

$40.45 = x pounds

since $8.09 = 1 pound

[tex]\$\ 1 = \frac{1}{8.09}\ pounds[/tex]

[tex]\$\ 40.45 = 40.45 \times\ \frac{1}{8.09} \\= \frac{40.45}{8.09}\\ = 5\ pounds[/tex]

Hello There!!~

The units of per hours is = 4.5

Explanation:

Unit rate in miles per hour is the ratio of total distance covered in miles to total time taken in hour to cover that distance.

L = 3/4

Time taken to cover the loop on monday:-

T = 1/6 hours.

Unit rate in miles per hour :-

V = L/T

=> 3/4 ,1/6 =18/4

18/4 = 4 5

Hope This Helps!! :)

By °~Itsbrazts°~

Answer:

The answer is below

Step-by-step explanation:

a) T=2.25h+1.75d

To rewrite the equation to find d, we have to make d the subject of the formula.

T=2.25h+1.75d

Subtract 2.25h from both sides:

T - 2.25h = 2.25h + 1.75d - 2.25h

1.75d = T - 2.25h

Divide both sides by 1.75

1.75d/1.75 = (T - 2.25h) / 1.75

d = (T - 2.25h) / 1.75

b) Additive property and law of division

c) The money spent (T) = $18.25 and the number of hot dogs (h) = 5. To get the number of drinks, substitute the value of h and T in the equation d = (T - 2.25h) / 1.75. Hence:

d = (T - 2.25h) / 1.75

d = (18.25 - 2.25(5)) / 1.75

d = (18.25 - 11.25) / 1.75 = 7 / 1.75

d = 4

The number of drinks that can be bought is 4

Answer:

512.4274 miles

Step-by-step explanation:

500m + 20k = distance

1 kilometer = 0.621371 miles

20k = 12.4274

500 + 12.4274 = 512.4274 miles

Answer:

No

Step-by-step explanation:

Because of the y^2, each value of x will be represented twice on the y-axis. Henceforth, the vertical line will pass through this line twice. THIS IS NOT A FUNCTION. ... It passes the vertical test for function.

Answer:

1st use distance formula for each side of the triangle

then use PT for checking if they are equal then u will get it as equal

then use area of triangle formula u will get the ans explanation:

Using inspiration from the hexagon example, we can cut out a side of the parallelogram and move that portion to the opposite side. The cut can be a curve of any kind or it could be a jagged edge like I have done below. The figure tessellates the plane as shown in the last section of the diagram. We can place the figures side by side to fill up a 2D space. Think of it like putting a jigsaw puzzle together in a way.

Answer:

x + 2y = 20

Step-by-step explanation:

We require the slope and the midpoint of AB

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(2, 4) and (x₂, y₂ ) = B(6, 12)

m = [tex]\frac{12-4}{6-2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

-----------------------------------

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

Thus midpoint of AB = ( [tex]\frac{2+6}{2}[/tex], [tex]\frac{4+12}{2}[/tex] ) = (4, 8 )

--------------------------------------------

y = - [tex]\frac{1}{2}[/tex] x + c ← partial equation of perpendicular bisector

To find c substitute (4, 8) into the partial equation

8 = - 2 + c ⇒ c = 8 + 2 = 10

y = - [tex]\frac{1}{2}[/tex] x + 10 ← in slope- intercept form

Multiply through by 2

2y = - x + 20 ( add x to both sides )

x + 2y = 20 ← in the form ax + by = c

Answer:

Patricia's account balance after thirteen years is $867.15.

Step-by-step explanation:

It is given that,

Principal on deposited amount is $612.40

Rate is 3.2%

We need to find Patricia's account balance after thirteen years, t = 13 years

This problem is based on the concept of simple interest. Interest is given by :

[tex]I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75[/tex]

Net amount = $612.40 + $254.75=$867.15

Step-by-step explanation:

Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2

Area of a trapezoid is found with the formula, A=(a+b)/2 x h.

Answer:

To find the surface area, the amount of space on the outside of a solid, of a trapezoidal prism, you'll need to find the area of the trapezoid base and multiply it by two. You'll then add the area of the four rectangles to the area of the two bases. Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2.

Answer:

See explanation below

Step-by-step explanation:

(a) The spread of the data is represented by their range,

Adam's Range : 106 - 91 = 15

Miguel's Range : 105 - 86 = 19

As Miguel's Range is greater, his data has the greater spread

(b) The middle 50 percent of both data sets would be the following,

Adam | 103 | 105 | 104 | 106 | 100

Miguel | 88 | 86 | 89 | 93 | 105

And their 50% range would be ...

Adam's 50% Range : 106 - 100 = 6,

Miguel's 50% Range : 105 - 86 = 19

Adam still has the least spread, even in the middle 50%

(c) This proves that their is a small variance in Adam's training times, but a large variance in Miguel's training times (Miguel's data is more likely skewed).

Answer:

Domain: All Real numbers

CoDomain : All Real numbers

Range: [tex]\left\{y|y\geq 0 \right\}[/tex]; that is: Real numbers larger than or equal to zero

Step-by-step explanation:

Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output.  Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.

The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity

But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.

Answer:

Diagram 5: Not adjacent angles

Diagram 6: Not adjacent angles

Diagram 7: Are adjacent angles

Diagram 8: Are adjacent angles

Step-by-step explanation:

In order for angles to be adjacent, they need to have all of three things:

1. Have a common vertex

2. Have a common side

3. Must not overlap

Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.

Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.

Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.

Answer:

Read Exp:

Step-by-step explanation:

9.) (-6)^2

10.) 10^3

11.) (2/3)^6

Answer:

see below

Step-by-step explanation:

( -6) * (-6)

The base is -6.  It is multiplied 2 times so the exponent is 2

(-6)^2

10*10*10

The base is 10 It is multiplied 3 times so the exponent is 3

10 ^3

2/3 * 2/3 * 2/3 * 2/3 *2/3 *2/3

The base is 2/3.  It is multiplied 6 times so the exponent is 6

(2/3) ^6

Answer:

A-B= (a,b,c,d)-(p,q,r,s)

=( )

B-A =(p,q,r,s)-(a,b,c,d)

( )

Answer:

Step-by-step explanation:

Given,

A = { a , b , c , d }

B = { p , q , r , s }

Let's find the difference of two set A and B :

A - B = { a , b , c , d } - { p , q , r , s }

The difference of two sets A and B is denoted by A - B and defined as the set of all the elements of A only which are not in B.

⇒A - B = { a , b , c , d }

Now, let's find the difference of two sets B and A

B - A = { p , q , r , s } - { a , b , c , d }

Similarly, The difference of two sets B and A is denoted by B - A and defined as the set of the all elements of set B only which are not in A.

⇒ B - A = { p , q , r , s }

Hope I helped!

Best regards!!

Answer:

41

Step-by-step explanation:

5 + (-6)^2

=> 5 + 36

=> 41

Answer:2/3 or 66.666%(don't quote me if I'm wrong about this)

Answer:

[tex]14y^{2} -64y[/tex]

Step-by-step explanation:

Hello!

4y(5y - 11)

Distribute the 4y

4y * 5y = 20y^2

4y * -11 = -44y

Put it together

20y^2 - 44y

2y(3y + 10)

Distribute the -2y

-2y * 3y = -6y^2

-2y * 10 = -20y

Put it gether

-6y^2 - 20y

Put it all together

20y^2 - 44y - 6y^2 - 20y

Combine like terms

14y^2 - 64y

The answer is [tex]14y^{2} -64y[/tex]

Hope this helps!

Answer:

Total lost yards = 10 yards  

Step-by-step explanation:

Given:

First match = lost 3 yards

Second match = lost 5 yards

Third match = lost 2 yards

Find:

Total lost yards

Computation:

Total lost yards = First match + Second match + Third match

Total lost yards = 3 yards + 5 yards + 2 yards

Total lost yards = 10 yards  

The values of n which the company break even are option (c) n = 20 and n = 250

From the question, the parameters are given as

Cost function, C(n) = 8n + 500

Revenue function, R(n) = 35n - 0.1n²

At the break even point, the functions C(n) and R(n) have the same value

This is represented as

C(n) = R(n)

Substitute the known values in the above equation

So, we have the following equation

8n+ 500 = 35n - 0.1n²

Collect the like terms

-0.1n² + 35n - 8n = 500

So, we have

-0.1n² + 27n - 500 = 0

Divide both sides by -0.1

n² - 270n + 5000 = 0

Factorize

(n -20)(n - 250) = 0

Solve for n

n - 20 = 0 and n - 250 = 0

This gives

n = 20 and n = 250

Hence, the company breaks even at n = 20 and n = 250

Read more about break even at

https://brainly.com/question/15281855

#SPJ1

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

~ an aesthetics love

Answer:

First we need to find the value of 1.11 * 10^12.

We need to solve the exponent first.

10^12 = 1000000000000

Next, we will multiply this by 1.11.

1,000,000,000,000 * 1.11 = 1,110,000,000,000

The value of 1.11*10^12 is equal to 1,110,000,000,000.

We can immediately rule out a), 90,000,000,000 as an answer. We can easily tell that out solution is greater than this answer.

Now we will find the value of option b).

5.66 * 10^11.

We need to solve the exponent first.

10^11 = 100000000000

Next, we will multiply this by 5.66.

100,000,000,000 * 5.66 = 566,000,000,000

This number is not greater than our solution to 1.11 * 10^12. Therefore, option b) is not your answer.

Now we will find the value of option c).

1.01 * 10^13.

We need to solve the exponent first.

10^13 = 10,000,000,000,000

Next, we will multiply this by 1.01.

10,000,000,000,000 * 1.01 = 10,100,000,000,000

This number is greater than our solution to 1.11 * 10^12. Therefore, option c) is your answer.

Hope this helps!

Step-by-step explanation:

Option C.  1.01×10¹³ which is 1010×10¹⁰ is larger than 111×10¹⁰.

Write all the given numbers in same powers of 10 and then compare the base.larger base is the larger number.

According to the given question we have to choose the correct option for a numbers which is larger than 1.11×10¹².

We know 10¹² has 12 zeroes after 1.

In option a 90,000,000,000 it has 10 zeroes so it can be written as 9×10¹⁰

and 1.11×10¹² can be written as 111×10¹⁰ so option A is smaller.

looking at option B. which is 5.66×10¹¹ this can also be written as 56.6×10¹⁰.

Which is gain smaller than 111×10¹⁰.

Option C. which is 1.01×10¹³ which can be written as 1010×10¹⁰ which is larger than 111×10¹⁰.

learn more about scientific form here :

https://brainly.com/question/142095

#SPJ2

Answer:

Step-by-step explanation:

+ si

Answer:X∧N and Y ∧N share a variable

Step-by-step explanation: X∧N

                                             Y∧N

they have the last same variable

Step-by-step explanation:

Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.

Answer:

C) -6-(-3)=3

Step-by-step explanation:

-6-(-3)=

-6+3=

-3 (Not positive 3)

So the third one is incorrect