6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0):
k = 1/5

6. Trapezoid DEFG With Vertices D(-5, 15), E(10, 10), F(10,5), And G(-5,0): K = 1/5

Answers

Answer 1

Answer:

D (-1,3)

E (2,2)

F (2,1)

G (-1,0)

Step-by-step explanation:

Multiply each point by 1/5.

Or think of it as dividing each point by 5

D (-5,15) divide -5 by 5 get -1, divide 15 by 5 get 3

so, (-1,3)

Answer 2

The coordinate of the new trapezoid will be D'(-1, 3), E'(2, 2), F'(2, 1), and G'(-1, 0).

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0).

The scale factor will be 1/5. Then the coordinate of the new trapezoid will be given as,

D' = (-5/5, 15/5) = (-1, 3)

E' = (10/5, 10/5) = (2, 2)

F' = (10/5, 5/5) = (2, 1)

G' = (-5/5, 0/5) = (-1, 0)

The direction of the new trapezoid will be D'(- 1, 3), E'(2, 2), F'(2, 1), and G'(- 1, 0).

The diagram is given below.

More about the dilation link is given below.

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6. Trapezoid DEFG With Vertices D(-5, 15), E(10, 10), F(10,5), And G(-5,0): K = 1/5

Related Questions

Round the following number to 2 decimal places
a) 58.9871​

Answers

Answer:

what you need to be more specific  like forward  or backward if forward it`s   60.0000     if backwards its  5898.00

Step-by-step explanation:

What is the answer to this? I will give 30 points and brainllest to the first person to answer correctly.

Answers

Answer:

15. 60% of 25 is 15.

You place $325 in a savings account. You earn $19. 50 in interest at a rate of 3%. How long did this take?

Answers

Answer:

397

Step-by-step explanation: you placed 325 already and earned 19  you add 325  19 50 3 you get your final product which is 397 which is what you will earn or get out of your savings

i did the math and i got 397 hope it’s right

What is the factorization of 216x12 – 64? (6x3 – 4)(36x6 24x3 16) (6x3 – 4)(36x9 24x3 16) (6x4 – 4)(36x8 24x4 16) (6x4 – 4)(36x12 24x4 16)

Answers

The solution to the given expression is (6x^4-40)(36x^8+48x^4+16)

What will be the equation?

We have the following expression

[tex]=216x^{12}-64[/tex]

we can also write it as

[tex]=(6x^4)^3-(4)^3[/tex]

Now from the formula

[tex]a^3-b^3=(a-b)(a^2+b^2+2ab)[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)((6x^4)^2+(4)^2+(2\times 6x^4\times 4)[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)((6x^8+16+(48x^4))[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)(6x^8+48x^4+16)[/tex]

Thus the solution to the given expression will be

[tex](6x^4-40)(36x^8+48x^4+16)[/tex]

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Which expression is equivalent to −10.75(20x+15.2)?

Answers

Answer:

See below.

Step-by-step explanation:

-10.75(20x+15.2)

-215x-163.4

-hope it helps

The equivalent expression is,

⇒ - 215x - 163.4

What is an expression?

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

Given that;

The expression is,

⇒ - 10.75 (20x + 15.2)

Now, We can simplify as;

⇒ - 10.75 (20x + 15.2)

⇒ - 10.75 × 20x - 10.75 × 15.2

⇒ - 215x - 163.4

Thus, The expression is equivalent to - 215x - 163.4.

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What is log subscript 6 baseline e superscript f rewritten using the power property? e log subscript 6 baseline f f log subscript 6 baseline e log subscript 6 baseline (e times f) log subscript 6 baseline (e f)

Answers

The value of the given expression will be  [tex]\rm (f\ Log_6\ e)[/tex]

What will be the value of the given expression in the question?

It is given in the question that

log subscript 6 baseline e superscript f

When we convert it into the mathematical form we get

[tex]\rm=Log_6\ e^f[/tex]

Now from logarithmic property

[tex]\rm Log_a\ u^n=n\ Log_a\ u[/tex]

By using this property the expression will become

[tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

Thus the value of the given expression will be [tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

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Answer:

flog6e

Step-by-step explanation:

promise it's correct

100 POINTS!!!

If you have a line parallel to the line given by the equation


what would be the slope of the parallel line?


EXPLAIN

Answers

Answer:

A.

Step-by-step explanation:

The slope of the line parallel to the original line is the same. And you don't add x after the slope.

What is the greatest common factor of 96 and 72

Answers

First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

The greatest common factor of the given numbers 96 and 72 will be equal to 24.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given number for GCF in the question,

Firstly, factorize the given numbers,

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The result of their shared factors is the GCF.

2 x 2 x 2 x 3 = 24.

Therefore, the GCF is 24.

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i need the answer asap lol..

Answers

Answer:

144

Step-by-step explanation:

sense you have the line in the triangle you would add that to the 16 (length) and multiply that by the 6 (hight) and that would be the area (144)

At a movie theater, the size of popcorn bags decreased by 20%. Id the old bags held 15 cups of popcorn , How much do the new bags hold?

Answers

Answer:

25

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

What is the measure of an exterior angle of an equilateral triangle?

Answers

Answer:

120

Step-by-step explanation:

An equilateral triangle has 3 sides. The exterior angle = 360 / 3 = 120

A square has 4 sides. Each exterior angle = 360 / 4 = 90

A regular n gon has n sides. The exterior angles will be 360/n

What decimal goes in the empty box on the grid? Enter your answer in the box.

Answers

Answer:nAvsghahsgdg

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:

x = 2√58

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:

   a² + b² = c²

⇒ a² + 6² = (6√2)²

⇒ a² = (6√2)² - 6²

⇒ a² = 36

⇒ a = 6

Now we have the base and height of the larger interior triangle, we can calculate x:

    a² + b² = c²

⇒ 6² + 14² = x²

⇒ x² = 232

⇒ x = √232

⇒ x = 2√58

[tex]\\ \rm\Rrightarrow \dfrac{6\sqrt{2}}{6}=\dfrac{x}{14}[/tex]

[tex]\\ \rm\Rrightarrow 6x=84\sqrt{2}[/tex]

[tex]\\ \rm\Rrightarrow x=14\sqrt{2}[/tex]

Done

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form.

Answers

Answer:

There are 6 sides to this cube.

There are two sides to this coin.

To roll a number less than two, you can only roll a 1.

So there is a 1/6 chance of getting a 1.

To get heads on a coin, there is only a 1/2 chance.

If you wanted to get both these desired outcomes, the chance of getting these are;

1/6 x 1/2

= 1/12 is the probability.

Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left. What was the weight of each bag cant figur it out 5th grade math

Answers

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

So, after mixing, the total amount of mixture is

6.83 lb + 3.57 lb = 10.40 lb.

After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.

The weight of one bag =\frac {10.05}{6} lb

=1.675 lb

As all the bags are of the same size, so the weight of all the bags are same,

Hence, the weight of each bag is 1.675 lb.

Please answer and I Will give you Brainliest

Answers

Answers:

x = 10

y = 61

===================================================

Explanation:

The two angles at the bottom add to 180, since they form a straight angle.

y+119 = 180

y = 180-119

y = 61

The angle (5x+11) and angle y = 61 are corresponding angles. They are congruent because of the parallel lines

5x+11 = y

5x+11 = 61

5x = 61-11

5x = 50

x = 50/5

x = 10

Note that

5x+11 = 5*10+11 = 50+11 = 61

which matches with y = 61, so that helps confirm the right x value.

Answer:

Y=61

X=10

Step-by-step explanation:

180-119=61=y

61=5x+11

50=5x

x=10

Question 6 of 10
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and width of the TV?
A. 13/2 inches by 13/2 inches
B. 52 inches by 5213 inches
C. 13 inches by 13/5
D. 5212 inches by 52/2 inches
SUBMIT

Answers

The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are t... https://brainly.com/question/3616890

Solve the equations

1. 1/2(6t-4)=3t-2

2. 1/3(2b+9=2/3(b+9/2)




HELP PLEASE

Answers

Answer:

#1 - All real numbers are solutions.

#2 - All real numbers are solutions.

Step-by-step explanation:

#1 -

Let's solve your equation step-by-step.

12(6t−4)=3t−2

Step 1: Simplify both sides of the equation.

12(6t−4)=3t−2

(12)(6t)+(12)(−4)=3t+−2(Distribute)

3t+−2=3t+−2

3t−2=3t−2

Step 2: Subtract 3t from both sides.

3t−2−3t=3t−2−3t

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

Same for #2

− 4, −1, 0, 4

Which pair of numbers has a sum of 0? (5 points)

Question 1 options:

1)

4, −1

2)

−4, 0

3)

−1, 0

4)

−4, 4
Please I need to know soon thank you! god bless

Answers

Answer:

-4 and 4.

Step-by-step explanation:

they are both the same distance away from zero on a number line so they cancel out to equal 0

Answer:

4

Step-by-step explanation:

4-4=0 we know that for the number to be zero it has to subtract the opiset of itself such a 4 and -4

Add three cube numbers.​

Answers

Answer:

, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x3+y3+z3 = k, where k is defined as the numbers from

9. Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the boat if the total cost was $33. Solve.

h =

Just give the answer, no h =

Answers

Answer:

9 hours

Step-by-step explanation:

Half a number plus 5 is 11.What is the number?​

Answers

Solution :

Let x be the number

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}[/tex]

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}[/tex]

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}[/tex]

[tex]\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }[/tex]

[tex]\small\bold\red{→}\small\bold{x = 12}[/tex]

Hello.

First, "half a number" means we divide that number by 2.

Let's say the number is z.

Divide z by 2:

[tex]\displaystyle\frac{z}{2}[/tex]

Add 5 to it:

[tex]\displaystyle\frac{z}{2} +5[/tex]

Now, this expression equals 11:

[tex]\displaystyle\frac{z}{2} +5=11[/tex]

Subtract 5 from both sides:

[tex]\displaystyle\frac{z}{2} =11-5[/tex]

[tex]\displaystyle\frac{z}{2} =6[/tex]

Now, in order to get rid of the fraction, we should multiply the entire equation by 2:

[tex]\displaystyle\frac{z}{2} *2=6*2[/tex]

[tex]z=6*2[/tex]

[tex]\Large\boxed{z=12}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

1.A rectangular prism has a volume of 1080 cubic cm. Its dimensions are 5 cm, (x + 12) cm, and (x + 6) cm. What is the value of x?

Answers

Answer:

x = 6 cm

Step-by-step explanation:

Volume of a rectangular prism = length × width × height

Length = 5 cm

Width = (x + 12) cm

Height = (x + 6) cm

Volume of a rectangular prism = 1,080 cubic centimeter

Volume of a rectangular prism = length × width × height

1080 = 5 * (x+12) * (x+6)

1080 = 5 (x^2 + 6x + 12x + 72

1080 = 5 (x^2 + 18x + 72)

1080 = 5x^2 + 90x + 360

Divide through by 5

216 = x^2 + 18x + 72

Subtract 216 from both sides

x^2 + 18x + 72 - 216= 0

x^2 + 18x - 144 = 0

Using factorization method to solve the quadratic equation

x^2 + 24x - 6x - 144 = 0

x( x+ 24) - 6 ( x + 24) = 0

(x + 24) (x - 6) = 0

x + 24 = 0

x = -24

x - 6 = 0

x = 6

x = -24 or 6

x can not be a negative value , so, x = 6 cm

help me please? can you please?

Answers

Answer:

C, $40

Step-by-step explanation:

Based on the pattern shown here, the employee is gaining $10 for every hour they spend working. This means that if the employee works for 4 hours, they get 4*10=$40.

As the worker gets $10 per hour

Step-by-step explanation:

For 4 hours

$10 x 4 = $40

so for working four hours the worker will get $40

what is2(12-w)=-2(w-17)-10

Answers

Answer:

17=w

Step-by-step explanation:

decompose the brackets

24-2w=2w-34-10

collect like terms

24+34+10=2w+2w

68=4w

divide by 4

17=w

Please help!!! I need this ASAP

Answers

the decomposition process is an important process in an ecosystem

Smallest to largest: 15/25 16/30 9/27

Answers

Answer:

Smallest: 9/27
Second: 16/30
Largest: 15/25

Step-by-step explanation:

15/25= 0.6

16/30= 0.53

9/27= 0.33

Easiest way to do this is to do this is to make them have the same digits.

0.60 or 0.6

0.53 or 0.5

0.33 or 0.3

now, you just find the order of these smallest to largest...

3, 5, 6

0.33, 0.53, 0.60

0.3, 0.5, 0.6

9/27, 16/30, 15/25

Hope this helps, Brainliest is appreciated :)

Have a Great day! cx

~Mitsuna

What is the following sum?

RootIndex 3 StartRoot 125 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot + RootIndex 3 StartRoot 27 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot
8 x cubed y Superscript 4 Baseline (RootIndex 3 StartRoot x y EndRoot)
15 x Superscript 6 Baseline y Superscript 8 Baseline (RootIndex 3 StartRoot x y EndRoot)
15 x cubed y Superscript 4 Baseline (RootIndex 3 StartRoot x y EndRoot)
8 x Superscript 6 Baseline y Superscript 8 Baseline (RootIndex 3 StartRoot x y EndRoot)

Answers

Answer:

If this is from edge the answer is B.

Step-by-step explanation:

I just had this question on edge 2022

Lmk if u got it right :)

Answer:

a

Step-by-step explanation:

on edge

Find f(4) when f(x) = 3x + 7

Answers

Answer:

I made a mistake I was trying to say something else

Explanation:

Wilma works at a bird sanctuary and stores bird seed in plastic containers. She has 5 small containers that holds 8 pounds of bird seed each and 6 large containers that hold 12 pounds of bird seed each. Each container was full until she used 4 pounds of bird seed. She wants to put some of the remaining bordered into 26 bird feeders that can hold 2 pounds each. How much birdseed does she have left over? Show the expression you used to find your answer.

Answers

Answer: 56lb

Step-by-step explanation:

Wilma has:

5 small containers that hold 8 lb each: Here we have a total of 5*8lb = 40 lb

6 large containers that hold 12 lb each: Here we have a total of 6*12lb = 72 lb

There is a total of 40lb + 72lb = 112 lb.

Now we know that she uses 4 lb, so now she has:

112lb - 4lb = 108lb.

Now she wants to fill 26 bird feeders, that can hold 2 lb each.

So she needs 26*2lb = 52lb

The amount of bird seeds that she has left is:

108lb - 52lb = 56lb

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