Rectangle ABCD is similar to Rectangle WXYZ . The area of ABCD is 30 square inches. Explain how to find the area, x , of WXYZ. AD/WZ = 1/2 AB/WX = 1/2 Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (__/__) to the second power. To find the area, solve the proportion 30/x = __/__ to get x = ___.

Answers

Answer 1

Answer:

120 square inches

Step-by-step explanation:

From the above question, we are told that:

Rectangle ABCD is similar to Rectangle WXYZ .

The area of ABCD is 30 square inches.

We are also given the ratio of their side length = 1/2

To the find the area of the second rectangle, the scale factor = k² is required where:

k = ratio of the side lengths

Let us represent the area of the.secind Rectangle as = x

Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.

Hence

30/x = k²

30/x = (1/2)²

30/x = 1/4

We cross Multiply

= 30 × 4 = x

x = 120 square inches.

Therefore, the area of Rectangle WXYZ is 120 square inches.


Related Questions

theirs 2 questions please help?

Answers

Answer:

"past" is one

Step-by-step explanation:

Answer:

past is one okkkk kkkkjjjjj

Given the graph what is a,h,k

Answers

We can answer this without knowing witch plots are witch

Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22

Answers

Answer:

22

Step-by-step explanation:

Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.

Hope This Helps!

* + 86
* + 106
Can you please help

Answers

Answer:x=20

Step-by-step explanation:

Answer:

I think is x=-20

I might have calculated wrong

answer with explanation pls​

Answers

Answer:

8.69>8.6

Step-by-step explanation:

Because 8.69 has .09 more than 8.6

Answer:

8.69 > 8.60

Step-by-step explanation:

You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6

hope this helped! :)

Select the correct answer.
What is the value of
log,
OA.
1
B.
2
O c.
3
OD. 27
Plz I need help I'm doing my test right now!!!!

Answers

The correct answer is b) 2

what expression can be used to 80% of 120

Answers

Answer:

59%

Step-by-step explanation:

Answer:

96=80% of 120

Step-by-step explanation:

Brad sells each cup of lemonade for $0.50 he wrote.

Answers

Answer:

What are we supposed to solve??? its incomplete

Step-by-step explanation:

From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.



What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?

Answers

Answer: help plz

Step-by-step explanation:

Answer: 16

Step-by-step explanation:



One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.

Answers

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = [tex]\frac{1}{5}x[/tex]

Their difference = 328

[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]

x = 410

Positive number = [tex]\frac{1}{5}*410=82[/tex]

The numbers are 410 , 82

Plz help do questions 9 and 10 I will give brainlest

Answers

Answer:

9. B.) c=28h

10. C.) 5x=45y

Step-by-step explanation:

1. 84 cards in three hours 84/3 = 28 cards per hour

2. 2x=18y which means x=9y, x 5 = 5x = 45y

Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of
3/2.

Answers

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

Two less than seven times a number c is written as

Answers

Answer :

7c - 2

That's your answer .

Choole a line m that passes through point, P, and is parallel to linel.

Answers

Answer:

c

Step-by-step explanation:

Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables?

Answers

Multiple both the numbers so 1.48*245
And 1.48*3110 and then add the numbers you got together 4,965.40 make sure those are the numbers for pounds

The total cost of 245 pounds of squash and 3110 pounds of zucchini is  $4965.4.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The unit rate for squash and zucchini is $1.48 per pound.

In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,

The cost for 245 pounds of squash is 245 × 1.48 = $362.6

And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.

Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.

Hence, the total cost of vegetables at the given rate is $4965.4.

To know more about unitary method click on,

https://brainly.com/question/28276953

#SPJ2

Find the product.
(t - ys)(8t - ys)

Answers

8t^2-9sty+s^2y^2 it’s answer

PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.

Write a recursive formula for the sequence.
6, 17, 28, 39, 50, ...

A. f(1)-6; f(n)=f(n-1)+11
B: f(1)=6; f(n)=6*f(n-1)+11
C. f(1)=6; f(n)=f(n-1)+6
D. f(1)=6; f(n)=11*f(n-1)

Answers

Answer:

C. f(1)=6; f(n)=f(n-1)+6

Step-by-step explanation:

just help and explain. tryna bring up my grade lol and no it’s not a test.

Answers

Answer:

0

Step-by-step explanation:

Answer: WE create 0

Step-by-step explanation: SINCE 5 and -5 are opposites they cancel out to 0.

SOMEONE HELP ME WITH THIS PLSSS ITS REALLY IMPORTANT IDK WHAT TO DO ​

Answers

A) 13
B) 23
C) -5
D) 5
E) 16
F) 7
G)8
H)4

Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?

Answers

Answer

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

PLZ HELP DUE IN 20 MINS

The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals? (4 points)

a
D and E are similar but not congruent.

b
E and F are similar and congruent.

c
D and E are similar and congruent.

d
F and D are similar but not congruent.

Answers

Answer:

B.

Step-by-step explanation:

It was just angled in a different way

16+4|5x-4(x+2)|=7-2x

Answers

there are no solutions

There are no solutions like kathy0315 said

this is My Home work and i don't know this one ​

Answers

Answer:

C

Step-by-step explanation:

Cuz the they are scared in the negative direction and theyre grouped around 4. Sry im bad at explaining things

Answer:

c. y = -x + 4

Step-by-step explanation:

Looking at the graph, the trend is decreasing as you move to the right, so you know that the slope has to be negative. Therefore (a) and (d) cannot be the answer since they both have positive slope.

You're only choice left is (b) and (c). (b) can't be the asnwer because averaging out the value at x=0 will give you a value greater than 3, therefore your y-intercept must be some number greater than 3. The only answer choice left is (c).

Jane and Jillian are hiking around a hill and one complete circle is 8 miles long. They start together but hike in opposite directions. Both start to hike at 8:00 AM. Jane's hiking speed is 3 mph and Jillian's hiking speed is 5 mph. How long will it take before they meet? At what time will they meet? In how many hours? What time will they meet at?

Answers

Answer:

It will tale 1 hour before they meet and they will meet agin at 9 :00 AM.

Step-by-step explanation:

Speed of Jane, [tex]v_1=3[/tex] mph

and the speed of Jillian, [tex]v_2= 5[/tex] mph.

Length of one complete circle = 8 miles.

Both are moving in the opposite direction, let the starting point is at O, and met at the point P after time, t, as shown in the figure.

Let the length covered by Jane via path OAP= x miles.

[tex]\Rightarrow x= 3t[/tex] [as distance= speed x time]

[tex]\Rightarrow t=x/3 \cdots(i)[/tex]

The length covered by Jillian via path OBP [tex]= 8-x[/tex] miles

[tex]\Rightarrow 8-x= 5t[/tex] [as distance = speed x time]

[tex]\Rightarrow t=(8-x)/5 \cdots(i)[/tex]

Now from equation (i) and (ii),

[tex]\frac{x}{3} = \frac{8-x}{3}[/tex]

[tex]\Rightarrow 5x=3(8-x)[/tex]

[tex]\Rightarrow 5x+3x=24[/tex]

[tex]\Rightarrow x=3[/tex]

So, the distanc covered by Jane = 3 miles and

the distanc covered by Jillian = 8-3=5 miles

From equation (i), time taken, t = 3/3= 1 hour.

So, it will tale 1 hour before they meet.

As the startion time was 8:00 AM, so the will agin meet at 9 :00 AM.

-2x + 7 = x-2
What is this ? In the most simplest steps possible

Answers

Answer:

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

−2x+7=x−2

Step 1: Subtract x from both sides.

−2x+7−x=x−2−x

−3x+7=−2

Step 2: Subtract 7 from both sides.

−3x+7−7=−2−7

−3x=−9

Step 3: Divide both sides by -3.

−3x /−3      −9 /−3

Answer:

x=3

                                            Hope this helps

                                                     (>'-'<)    

Find the x- and y-intercepts of the graph of the linear equation −4x+8y=−16.

The x-intercept is
.

The y-intercept is

Answers

Answer:

x-intercepts is (4,0)

y -intercepts is (0,-2)

Step-by-step explanation:

Using slope intercept form, x- intercept is (4,0) and y - intercept is (0,-2)

What is slope intercept form and how it can be used to find y and x intercept of the line?

The slope intercept of a line is given by the equation y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

y- intercept can also be found if a point on the line is given say (a, b) and slope is given .We put this point  in the given slope intercept form and find c.

For finding x - intercept, put y = 0 in the equation and find value of x.

Given line -4x +8y = -16

Then add 4x both sides , we get

⇒4x+4x +8y = -16+4x

⇒ 8 y = 4x -16

Divide both sides by 8

⇒ y = (4/8) x - (16/8)

y = (1/2)x -2

Comparing this equation with y =mx+c

c =-2

Put y = 0 in the equation y = (1/2)x -2

⇒ 0 = x/2 -2

⇒2 = x/2

4 =x

Therefore x- intercept is (4,0) and y - intercept is (0,-2)

Also, learn more about the slope intercept form from the link below:

brainly.com/question/9682526

#SPJ2

drag each item to its correct place es de monomios​

Answers

Answer:

Step-by-step explanation:

-2x

Grado : 1

Coefficiente  : -2

Parte literal :   x

x²y⁴:

Grado : 2+4 = 6

Coefficiente  : 1

Parte literal :   x²y⁴

Which statement about the number 49 is true

Answers

Answer:

F.

Step-by-step explanation:

Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.

I need help with is plz asap

Answers

Answer:

30

Step-by-step explanation:

What is the domain of the function below?

Answers

Answer:

[-4, 4]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

From the graph we see that our x-values span from -4 to 4. Since both are closed dots, they are included in the domain (use brackets):

[-4, 4] or -4 ≤ x ≤ 4

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