Finding Side Lengths
2 in.
xin.
These two figures are the image and pre-image of a
dilation
Find the lengths of the missing sides.
4 in.
5 in.

Finding Side Lengths2 In.xin.These Two Figures Are The Image And Pre-image Of AdilationFind The Lengths

Answers

Answer 1

Answer:

x = 2.5y = 5

Step-by-step explanation:

As the two figure are the image and pre-image of a dilation.

Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.

As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.

It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in

Lets determine the missing side of the right side triangle by the same rule.

As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5

So, the value of x will be 2.5

Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.

so

y + 1 = 2(3)         ∵ 3 in (image side) is multiplied by 2

y + 1 = 6

y = 6 - 1

y = 5

So, the value of y = 5

Therefore,

x = 2.5y = 5
Answer 2

Answer:5.5

6

Step-by-step explanation:


Related Questions

Use the drop-down menus to complete each statement to describe the relationship between the number of yards and the number of feet.

Answers

Explanation:

The yard, whose symbol is yd, is standardized as 0.9144 meters since 1959.  The unit system that use it is both the imperial and the US units. On the other hand, the foot, whose symbol is ft, is standardized as 0.3048 meter. It is also used by the imperial and US units. The relationship between these two units is:

[tex]1yd=3ft \\ \\ 1ft=1/3yd[/tex]

Can you help me please?

Answers

Answer:

true

Step-by-step explanation:

hopes it helps‍♂️

Luis knows that there are 16 cups in one gallon. How many cups will it take Luis to fill a 6 1/2 gallon bucket?

Answers

Answer:

104 CUPS

HOPE IT HELPS :0

A number is doubled and then increased by nine. The result is seventy-five. What is the original number?

Please help. I’ll mark you as brainliest if correct!!!!

Answers

Answer:

33

Step-by-step explanation:

2x+9=75

2x=66

x=33

Therefore, 33

75-9=66
66/2=33
33 is the original number

7/6 = ?/48 I just need the answer to this ASAP

Answers

Answer:

56

Step-by-step explanation:

6 X 8 = 48

7 X 8 = 56

Answer:

56/48

Step-by-step explanation:

you multiply both sides by 8.

what is 5% on $600 in sales

Answers

Answer:

Percentages can be reversed. For example:

600% of 5 is 30. Therefore $30 would be 5% of $600.

Step-by-step explanation:

The answer you are looking for is $30.

To find this answer, you must first make 5% a decimal. To do so, simply divide 5 by 100 to get 0.05. Lastly, multiply 0.05 by $600 to get $30. Thus making $30 your answer.

I hope this helps!

What is the quotient of -10 and -5?

Answers

Answer:

2.

Step-by-step explanation:

-10 divided by -5 is 2.  The two negatives cancel each other out.

Answer:

two is the correct answer

Step-by-step explanation:

write each number from the box and the correct category shown in the table

Answers

Answer:

Rational:

0.75 (as a recurring number)

3.8

-12/7

Irrational:

sqrt. (3/8)

sqrt. (1/16)

sqrt. (10)

pi/2

Step-by-step explanation:

Rational numbers are parts of a whole, expressed as fractions, decimals, or percentages. They are finite, recurring, and real.

Irrational numbers have no end to their numbers, and there is no pattern to the numbers. Besides perfect square roots (like 4, 9, 16, 25, etc.), all square roots are likely irrational. Anything with pi is irrational.

Hope this helps!

A student brought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to determine the cost of a bag of Chips,c

Answers

Answer:

x = 0.85

2 (1.25) + 3x = 5.05

Step-by-step explanation:

2 (1.25) + 3x = 5.05

2.5 + 3x = 5.05

3x = 2.55

Which pair of expressions are equivalent? 3 v + 5 minus 9 v + 2 and negative 6 v + 6 Negative 6 n + 3 minus 2 n + 2 and negative 8 n + 6 Negative 4 n + 8 + 9 n minus 2 and 5 n + 6 10 n minus 5 minus 2 n + 3 and 5 n minus 2

Answers

Answer:

Negative 4 n + 8 + 9 n minus 2 and 5 n + 6

Step-by-step explanation:

3v + 5 - (9v + 2)

3v + 5 - 9v -2 = -6v + 3

-6v + 6

(NO)

-6n + 3 - (2n + 2)

-6n + 3 - 2n - 4 = -8n - 1

-8n + 6

(NO)

-4n + 8 + 9n - 2 = 5n + 6

5n + 6

(YES)

Answer:

The answer is c

What is an equation of the line that passes through the points
(

7
,

7
)
(−7,−7) and
(

5
,

3
)
(−5,−3)?

Answers

Answer:

y=x+0

Step-by-step explanation:

CHECK:

-7=-7+0

-7=-7

Yep

Answer:

y=2x+7

Step-by-step explanation:

I just did it

What is the slope of a line that passes through (2,-5) and (6,-2)? *

Answers

Answer:

Step-by-step explanation:

Answer:4/3

Step-by-step explanation:

y=x+2
-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?

Answers

The system of equations has infinitely many solutions

Solution:

Given system of equations are:

y = x + 2 ------ eqn 1

-3x + 3y =  6 -------- eqn 2

Solve the system of equations by substitution method

Substitute eqn 1 in eqn 2

-3x + 3(x + 2) = 6

-3x + 3x + 6 = 6

-3x + 3x = 6 - 6

0 = 0

If we end up with the same term on both sides of the equal sign, then we have infinite solutions

Thus the system of equations has infinitely many solutions

How many 1/5-cup servings are in. 3/4 of a up of icecream

Answers

Answer:

3.75 or 3 3/4

Step-by-step explanation:

first put them on a common denominator of 20

1/5=4/20

3/4=15/20

then do 15 divided by 4

15/4= 3.75 or 3 3/4

An element with mass 590 grams decays by 19.5% per minute. How much of the
element is remaining after 15 minutes, to the nearest 10th of a gram?

Answers

22.8 gms

Step-by-step explanation:

Step 1:

Given,

Mass of the element = 590 gms

Percentage decay per minute = 19.5%

Step 2 :

Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805

Hence the fraction of element remaining after 15 minutes  = [tex]0.805^{15}[/tex] = 0.03863

So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram

mass of the element remaining after 15 minutes = 22.8 gms

Answer:

22.8

Step-by-step explanation:

answered on delta math and got it correct

Please help and explain how you answered it

Answers

Answer:

y =  -5/7x -32/7

Step-by-step explanation:

To find the perpendicular line, it is the opposite opposite slope. this means that you change if it was positive or negative, and you flip the numerator and the denominator. so, because this slope is positive, you turn it to be negative. then you would switch the numerator and denominator, making the slope of the other line -5/7 (m). then you use y=mx + b to find the equation of the other line. you use (2,-6) and fill in the values to find be, so you would do

-6 = (-5/7)(2) + b so then you solve

-6 = (-10/7) + b  

-32/7 = b

and then you fill in the y=mx +b to get y =  -5/7x -32/7

Convert 8% into a fraction

Answers

Answer:

8% = 8/100 = 2/25

Step-by-step explanation:

^^^^^^^^^

Answer:2/25

Step-by-step explanation:

8%=8/100=2/25

how do u find the value for y 6/8=y/16

Answers

Answer:

12 = y

Step-by-step explanation:

To make figuring this equation out easier, you will want to make all the fractions have the same denominator but stay equivalent to their original state. By this I mean, to get 6/8 to have the same denominator as y/16 but still be equivalent o 6/8, you will have to multiply it 2. That leaves you with 12/16 = y/16. Now that the equation has been modified, we can now solve it. You want to get the variable, y, isolated on one side of the equation. To do this, you want to multiply both sides of the equation by 16 since both sides of the equation are being divided by 16. This equation will look like this: 12/16 = y/16  -->  12 = y

I hope this helps

The measure of BAC is 240. What is the ratio of the
measure of the major arc to the measure of the minor arc?
3:1
1:3
2:1
1:2

Answers

Answer:

C

Step-by-step explanation:

arc BOC=360-240=120

arc BAC: arc BOC::240:120 or 2:1

Answer:

the answer is C

Step-by-step explanation:

took the answer on the edge 2020

Ivan got a job working at Carl's Jr. He makes $16 per hour. On Monday he worked 4hrs, on Wednesday he worked
3hrs and on Saturday he worked 8hrs. On Sunday he picked up his paycheck. His mom told him that he owed her for
the video game she bought him that cost $53.50. How much money did he have left after paying back his mom?

Answers

Answer:

186.50

Step-by-step explanation:

TUVW is a rectangle. Find the value of x and the length of each diagonal if

TV = 2x -4 and UW = x + 10.

--


*show your work please & giving brainliest to correct answer*

Answers

Answer:

The value of x is 14

The length of each diagonal is 24 units

Step-by-step explanation:

Let us revise the properties of the rectangle

Each two opposite sides are parallel and equalIts four vertices are right anglesIts diagonals equal each other and bisect each other

In rectangle TUVW

∵ TV and UW are its diagonals

TV = UW

∵ TV = 2x - 4

∵ UW = x + 10

- Equate them to find x

2x - 4 = x + 10

- Subtract x from both sides

∴ x - 4 = 10

- Add 4 to both sides

∴ x = 14

The value of x is 14

Substitute the value of x in the expression of TV OR UW to find the length of each diagonal

∵ TV = 2(14) - 4

∴ TV = 28 - 4

∴ TV = 24 units

The length of each diagonal is 24 units

Final answer:

To solve for x, we equate the lengths of TV and UW, since they are opposite sides of a rectangle. Solving the equation yields x = 14. We then find the lengths of TV and UW (both 24 units), and use the Pythagorean theorem to calculate the length of the diagonal, which is approximately 33.94 units.

Explanation:

We are given that TUVW is a rectangle with sides TV and UW. We are also given that the lengths of these sides can be expressed as TV = 2x - 4 and UW = x + 10. Since TUVW is a rectangle, opposite sides are equal in length, so TV equals UW.

Setting the expressions for TV and UW equal to each other gives us:

2x - 4 = x + 10

Solving for x:

2x - x = 10 + 4x = 14

Now we can find the lengths of TV and UW:

TV = 2(14) - 4 = 24UW = 14 + 10 = 24

Therefore, each diagonal of the rectangle is of the same length because diagonals of a rectangle are congruent. We can use the Pythagorean theorem to find the length of the diagonal:

Let d be the length of the diagonal:

d² = TV² + UW²d² = 24² + 24²d² = 576 + 576d² = 1152d = √1152d ≈ 33.94

The length of each diagonal of the rectangle is approximately 33.94 units.

20 points! Identify the solids that form the compos
s that form the composite solid. Then find the surface area.
Round your answer to the nearest tenth.

Answers

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length ([tex]a^2[/tex]).

The cube's surface area = [tex]6a^2[/tex] = [tex]6(5^{2} )[/tex] = [tex]150[/tex] square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = [tex]2 \pi r h+2 \pi r^{2}[/tex] = [tex]2 \pi (2) (4)+2 \pi (2)^{2}[/tex] = [tex]75.398[/tex] square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.


A newspaper survey says that 424 people, or 53% of the people surveyed,
enjoy walking through the park. How many people were surveyed?

Answers

To find the total number of people surveyed when 424 people represent 53% of respondents, divide 424 by 0.53, which equals 800. Thus, 800 people were surveyed.

The question asks to determine the total number of people surveyed given that 53% of respondents enjoy walking through the park, and this represents 424 people. To find the total number of people surveyed, we set up a proportion where 53% (or 0.53) corresponds to the 424 people who enjoy walking in the park.

Using the formula for calculating percentages, we have:

Total people surveyed = 424 / 0.53

We perform the division to find the total number surveyed:
Total people surveyed = 800

Therefore, 800 people were surveyed.

The area of a rectangle is 4x+32. The length is 4. Find the width.

Answers

[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=4x+32\\ L=4 \end{cases}\implies 4x+32=4w \\\\\\ \cfrac{4x+32}{4}=w\implies \cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ (x+8)}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=w\implies \boxed{x+8=w}[/tex]

Can someone help me with this? Thank you :)

Answers

Answer: The area of the shaded region is 150.72 km^2

Step-by-step explanation: The first bit of information we have is that both the inner circle and the outer circle have the same center. The radius of the inner circle can be calculated since we have been given the circumference (25.12) and the value of pi (3.14). The circumference of a circle is given as

Circumference = 2 x Pi x radius

With the values available, we now have

25.12 = 2 x 3.14 x radius

25.12 = 6.28 x radius

Divide both sides of the equation by 6.28

radius = 4

Having calculated the radius of the inner circle, the area now becomes;

Area = Pi x radius^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 km^2

The radius of the outer circle is the addition of 4 (on the shaded region) to the radius of the inner circle and that gives us 8.

Next we calculate the area of the outer circle which is

Area = Pi x radius^2

Area = 3.14 x 8^2

Area = 3.14 x 64

Area = 200.96 km^2

Now that we have determined the area of both the inner circle and the outer circle, the area of the shaded region is simply the difference between both of them, that is

Area of shaded region = 200.96 - 50.24

= 150.72 km^2

Hello This is pretty Easy But i forgot the basics

Answers

Answer:

-3, -2 1/2, -2 2/5, -2 3/10, -2

Step-by-step explanation:

Answer: from least to greatest =

-2 ; -2 3/10; -2 2/5; - 2 1/2, -3

Step-by-step explanation:

Step 1: Convert fraction to decimal

Step 2: arrange in the order

Step 3: be mindful of the sign (-)

Determine the center and radius of the following circle equation:
x2 + y2 - 6x + 6y - 82 = 0

Center:
Radius:

Pls help :)

Answers

Center: (3,-3)

Radius: 10

The center of the given circle is at (3, -3), and the radius of the circle is 10. This can be determined by rearranging the equation into the standard form and then completing the square for the x and y terms.

To determine the center and radius of the circle given by the equation x2 + y2 - 6x + 6y - 82 = 0, we need to rearrange it into the standard form of a circle equation, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius of the circle.

First, group the x terms and the y terms: (x2 - 6x) + (y2 + 6y) = 82.

Then, complete the square for both x and y terms: (x2 - 6x + 9) - 9 + (y2 + 6y + 9) - 9 = 82. This factors to (x - 3)2 + (y + 3)2 = 82 + 9 + 9.

Finally, calculate the right side to find the radius squared: (x - 3)2 + (y + 3)2 = 100, so the circle's radius squared is 100 and the radius is 10.

Therefore, the circle's center is at (3, -3), and its radius is 10.

Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes No

Answers

Answer:

i  believe that it is a function.

Step-by-step explanation:

you do not have any of the exact same numbers with arrows ot one another.

Answer:

It is a function

Step-by-step explanation:

Have a great day :) Dont forget to smile because you are AWESOME

Jack made 5 and 1/4 dozen cookies for the bake sale and his sister made 3 and 3/4 dozen cookies how many more cookies did jack make then his sister

Answers

Jake made 1 and 1/4 more cookies

Answer:

3 / 2 dozen

Step-by-step explanation:

5 + 1/4   -    3 + 3/4

21/4    -    15/4

6 / 4

3 / 2

Please answer this correctly I have to finish this today as soon as possible

Answers

Answer:

Sheng

Step-by-step explanation:

Answer: Sheng

Step-by-step explanation:

First, you list the fraction of each of them. I then used the butterfly method to figure out whose fraction was smaller

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