Consider the original parallelogram and the reduction.

A parallelogram with side lengths 18 centimeters and 45 centimeters. A second parallelogram with side lengths A and 5 centimeters.
Figures not drawn to scale.

What is the length of side A in the new parallelogram?
2 cm
9 cm
90 cm
162 cm

i believe it is a but someone pls confirm thx

Answers

Answer 1

I can confirm that it is A as I took the test and got 100%.

Answer 2

The length of side A in the new parallelogram will be [tex]2[/tex] cm.

What is Scale Factor ?

Scale Factor is defined as the ratio of size of new image formed to the size of old image.

We have,

A parallelogram with side lengths [tex]18[/tex] centimeters and [tex]45[/tex] centimeters.

And,

A second parallelogram with side lengths [tex]A[/tex] and [tex]5[/tex] centimeters.

Now,

Scale Factor [tex]=\frac{size\ of\ new\ image}{size\ of\ old\ image}[/tex]

So,

Now, Comparing sides ,

We get,

Scale Factor [tex]=\frac{45}{5}=9[/tex]

i.e. the second parallelogram have Scale Factor of [tex]9[/tex].

So,

Other sides of both parallelograms will be of same Scale Factor.

i.e.

[tex]=\frac{18}{A} =9[/tex]

[tex]A=2[/tex] cm

Hence, we can say that the length of side A in the new parallelogram will be [tex]2[/tex] cm.

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Related Questions

Two people are swinging a jump rope. The height of the middle of the rope, in inches, can be modeled by a cosine function with an amplitude of 36 inches. If the minimum point that the middle of the rope reaches is 3 inches above the ground, what is the maximum point that the middle of the rope reaches?

A.
75 inches
B.
39 inches
C.
36 inches
D.
72 inches

Answers

Answer:

B. 39 inches

Step-by-step explanation:

The amplitude is the difference between the function's maximum and minimum values.

3 in. + 36 in. = 39 in.

Answer: B. 39 inches

Answer:75 inches

Step-by-step explanation: I got it right on edmentum

suppose you have a bag of 25 marbles and 3 of the marbles are white.If you choose one without looking, what is the probability you choose a white marble? Write this probability as a percent . Use a word or phrase to describe this probability.​

Answers

Answer:

3/25

THERE IS AN 11% CHANCE

can i get brainliest

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

3 is 12% of 25. So you would have a 12 percent chance of getting a white marble.

3 ÷ 25 = 0.12 = 12%

Percent formula

P × V1 = V2


Mrs. Kemp began the school year with 20 students in her kindergarten class. She had 23 students at the end of the year. What was the
percent of increase in the number of students from the beginning of the year to the end of the year?

Answers

First, we’re going to use this formula:

2nd number - 1st number
————————————— x 100%
1st number


If we plug in the numbers to this equation:

23-20
———- x 100%
20

And subtract 23 to 20, the answer to this equation is:

3
—- x 100% = 15%
20

In this case, the percent of increase is 15%.

Octers on product box
Usplay
and front-firing
speakers

Answers

Answer:

Step-by-step explanation:

A trust me and c

If triangle PQR is similar to SQT, find the value of
PQ.
X-9
S
T
8
Y +5
P
R
21
X = 15
PQ = 26

Answers

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

[tex]\frac{x-9}{x-9+x+5} = \frac{8}{21}[/tex]

[tex]\frac{x - 9}{2x - 4} = \frac{8}{21}[/tex]

[tex]21x - 189 = 16x - 32\\5x = 157\\x = 31.4[/tex]

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

Answer:

x = 15, PQ = 26

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

PQ= x+13

15+13=26

Which measurements is equivalent to 4,000 centimeters? (100 centimeters = 1 meter)

Answers

Answer:

400 meters = 4000 centimeters

Step-by-step explanation:

Sorry if this didn't help

The solution is , 4,000 centimeters are equivalent to 40 meters. Hence, the answer is A) 4,000 cm.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), connected by an equal sign (=). The LHS and RHS can contain numbers, variables, operators, and functions, and the equal sign indicates that the value of the expression on the LHS is equal to the value of the expression on the RHS.

Here,

we know,

100 centimeters = 1 meter

Since there are 100 centimeters in one meter, we can convert meters to centimeters by multiplying the length in meters by 100.

So, to convert 40 meters to centimeters, we can multiply 40 by 100:

40 meters = 40 x 100

= 4,000 centimeters

Therefore, 4,000 centimeters are equivalent to 40 meters. Hence, the answer is A) 4,000 cm.

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1. Expand to write an equivalent expression: −14(8x+12y)

2. Factor to write an equivalent expression: 36a−6
Pls answer (No links)

Answers

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

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

36a-6

6(6a-1)

mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width

Answers

Answer:

Width of the fence = 8.5 ft

Length of the fence = 16.5 ft

Step-by-step explanation:

Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?

Perimeter of the fence = 2(length + width)

Perimeter of the fence = 50 ft

Width of the fence = x ft

Length of the fence = x + 8 ft

Perimeter of the fence = 2(length + width)

50 = 2{(x+8) + (x)}

50 = 2(x + 8 + x)

50 = 2(2x + 8)

50 = 4x + 16

50 - 16 = 4x

34 = 4x

x = 34/4

x = 8.5

Width of the fence = x ft

= 8.5 ft

Length of the fence = x + 8 ft

= 8.5 + 8

= 16.5 ft

Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

Perimeter of a rectangle

A quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.

Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.

So,

Length of a rectangle [tex](l)=x+8[/tex]

Perimeter of a rectangle [tex]=50[/tex] feet

[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]

[tex]x=8.5[/tex] feet

So,

width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

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Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?

Answers

Answer: 78

Step-by-step explanation:

Given

Mrs. Lee has [tex]132[/tex] students

On a particular day, one-fourth of her students are sick i.e.

[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]

and 24 were on a field trip.

The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.

[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]

A bag contains 36 red balloons, 40 blue balloons, and 24 purple balloons. Find the probability of NOT choosing a purple balloon.
Group of answer choices

A 3/4

B 76%

C 0.25

D 24%

Answers

add the numbers up
36+40+24=100
36+40=76
76/100 simplified is 19/25
19 divided by 25 is 76%
It’s B. All that equals to 100 so divide and it is equal to 76%


find the lateral surface area of the prism below PLS ANWSER QUIC

Answers

Answer:

give me sec waitttttttt give me sec I think 16

Answer: 24

Step-by-step explanation:

Surface area of cube = 6 x side length x side length

Plug in 2 for side length

6 x 2 x 2 = 24

Needs help fast please

Answers

3 because 7-4=3
Okie.

Solve for a,w,x, and y

Answers

Can you make the picture clearer?

A swimming pool measures 10 feet by 8.5 feet by 5 feet. How many cubic feet of water will the swimming pool hold?

Answers

Answer:

425 Cubic Feet

Step-by-step explanation:

Cubic feet is volume meaning that in order to find the volume you must multiply the length, width and the height. The answer is 425

The swimming pool will hold 425 cubic feet of water.

What is the volume of a rectangular prism?

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

To find the volume of the swimming pool in cubic feet, we need to multiply the length, width, and height of the pool:

The volume is calculated as,

Volume = length x width x height

Volume = 10 ft x 8.5 ft x 5 ft

Volume = 425 cubic feet

Therefore, the swimming pool will hold 425 cubic feet of water.

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The semicircle below has diameter $20$. Find the area of the blue region.

Answers

We subtract the area of the triangle from the area of the semicircle

Area of the blue region is 61 units²

Area of semi circlearea = π / 2 r²

Therefore,

r = radius

Area of the blue region  = area of semi circle - area of triangle

Therefore,

area of triangle = 1/bh

where

b = base

h = height

Therefore,

area of triangle = 1 / 2 × 12 × 16 = 96 units²

area of semi circle = 3.14 × 10² /  2 = 157 units²

Area of the blue region  = 157 - 96 = 61 unit²

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f(x)= 3x and g(x)= -x+4, so f(g(2))=?

Answers

Answer: 6

Step-by-step explanation: first, you plug in 2 into the g(x) function. So, replace x with 2 in the second function g(x). -2 + 4 = 2. Then take that answer (2), and plug that into the x for f(x). 3 x 2 = 6

Answer:

[tex]f(g(2))=6.[/tex]

Step-by-step explanation:

We have [tex]g(x)=-x+4 \Rightarrow g(2)=-2+4=2[/tex]

Since [tex]f(x)=3x[/tex] then [tex]f(g(2))=f(2)=3.2=6.[/tex]

6m+27=8.25m
m=?
HELPPP

Answers

Answer:

12

Step-by-step explanation:

This is correct. Trust me.

I'm glad I could help:)

6m+27=8.25m

You have to subtract 6m on both sides first.

6m+27=8.25m

-6m       -6m

27=2.25m

Now we divide 2.25 from both sides.

27=2.25m

/2.25 /2.25

12=m

---

hope it helps

Susan read 130 pages of a book in 2.5 days. If she read the same amount each day, how many pages did she read each day ?

A 5.2
B 5.6
C 52
D 56

Answers

Answer:

c.52

Step-by-step explanation:

if susan reads 130 pages in 2.5 days then we have to divide 130 and 2.5 which gives us 52 which kinda means she reads 52 pages per day i hope that clear

The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field

Answers

Answer: 88.8 m , 59.2 m

Step-by-step explanation:

Given

Breadth is [tex]\frac{2}{3}[/tex] of length

Suppose length is x m

So, breadth is   [tex]\dfrac{2}{3}x[/tex]

Perimeter is given by [tex]P=2(L+W)[/tex]

Putting values

[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]

Length L is [tex]88.8\ m[/tex]

width W is [tex]\frac{2}{3}x=59.2\ m[/tex]

What was the main purpose of the Declaration of Independence?

Answers

Answer:

The main purpose of America's Declaration of Independence was to explain to foreign nations why the colonies had chosen to separate themselves from Great Britain. The Revolutionary War had already begun, and several major battles had already taken place.

Step-by-step explanation:

Solve v^2=81 where v is a real number
simplify your answer as much as possible

Answers

Answer:

v = 9 , − 9

Step-by-step explanation:

Take the root of both sides and solve.

Answer:

if you're solving by the square root I think the answer would be 9 or -9 it's either one of those

OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)

Answers

Answer:

answer is c have a great day :)

Step-by-step explanation:

A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?

Answers

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31

Simplify The following Expression:

45 + (x - 12)​

Answers

Answer:

The answer is x + 33

Step-by-step explanation:

1) Remove parentheses.

[tex]45 + x - 12[/tex]

2) Collect like terms.

[tex]x + (45 - 12)[/tex]

3) Simplify.

[tex]x + 33[/tex]

Therefor, the answer is x + 33.

Answer:

x+33 is your answer

Step-by-step explanation:

45 + (x - 12)

45+x-12

x+45-12

x+33

Definition of radius

Answers

Answer:

Step-by-step explanation:

A straight line from the center to the circumference of a circle or sphere.

Subtract right answers please

Answers

Answer: 11 - (-12) = 23

              -22 - 49 = -71

Answer:

23

-71

Step-by-step explanation:

11 - (-12) = ?

-22 - 49 = ?

11 - ( -12) = 11 + 12 = 23

-22 - 49

subtracting a negative from a negative is like adding a positive to a positive it has the same affect just a different sign

-22 - 49 = -(22 + 49)

22 + 49 = 71

-(71) = -71

Reed has a die and a fair coin. What is the P(3 and Heads)? *
PLEASE HELPPPP

Answers

He has the brown hair dye is the answer

Ava is in a hot air balloon that has just taken off and is floating above its launching point. Mary is standing on the ground 4 meter away from the launching point. If ava and mary are 5 meters apart, how high up is ava ?

Answers

Answer:

Ava's altitude is 3 meters.

Step-by-step explanation:

The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.

So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]5^{2}[/tex] = [tex]4^{2}[/tex] + [tex]x^{2}[/tex]

25 = 16 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 25 - 16

   = 9

x = [tex]\sqrt{9}[/tex]

   = 3

x = 3 meters

Thus, Ava's altitude is 3 meters.

What is the equation for the line of symmetry in this figure?

Answers

Answer:

Step-by-step explanation:

Y-axis is the line of symmetry as it divides the figure into two equal parts

What is the constant of proportionality, y/x

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

k = 0.5

Step-by-step explanation:

Proportional relationship:

y = kx, where k- constant of proportionality

Using point on the graph (1, 0.5) to find the value of k:

0.5 = k*10.5 = kk = 0.5
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