The shapes below are mathematically similar.
8 cm
20 cm
12 cm
х
Calculate the length of side x.​

The Shapes Below Are Mathematically Similar.8 Cm20 Cm12 CmCalculate The Length Of Side X.

Answers

Answer 1

Answer:

30cm

Step-by-step explanation:

Because of the polygon similarity postulate (PSP) 8/12=20/x

8/12=20/x

20/(8/12)=x

20*12/8=x

x=30 cm

Answer 2

The length of side x is 30 cm when the shapes below are mathematically similar.

To calculate the length of side x, we can use the concept of similarity between the shapes. When two shapes are mathematically similar, their corresponding sides are proportional.

8 cm corresponds to 20 cm

12 cm corresponds to x (unknown)

Using the concept of proportionality, we can set up the following equation:

(8 cm) / (20 cm) = (12 cm) / (x)

To find x, we can solve this equation:

Cross-multiplying:

8 cm * x = 20 cm * 12 cm

Simplifying:

8x = 240 cm²

Dividing both sides by 8 to isolate x:

x = 240 cm²/ 8

x = 30 cm

Therefore, the length of side x is 30 cm.

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Related Questions

You start at (-1,5). You move down 7 units. Where do you end? ​

Answers

Answer:

(-1,-2)

Step-by-step explanation:

(x,y)

Left to right = Change in x value

Left = Negative x Movement

Right = Positive x Movement

Up and Down = Change in y value

Up = Positive y Movement

Down = Negative y Movement

if x = -1, y = 5

5 - 7 = -2.

Simplify 1/2 (8x + 6) + (3x -2)

Answers

Answer:

Simplified

Step-by-step explanation:

    1

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

19x +10

Answer:

7x+1

Step-by-step explanation:

1/2 (8x+6) + (3x-2)

distribute the 1/2 into (8x+6)   --- ( just means to divide by 2)

4x+3 + (3x-2)

then put common terms together

4x + 3x = 7x

+3 -2 = 1

= 7x + 1

There are 24 cans of soda arranged in 4 rows of 6 cans each. Each can is a

cylinder with a radius of 4 cm and a height of 15 cm. These cans are to be packed

snuggly into a rectangular prism case with no extra space on the top, bottom, or

sides. Determine the volume, in cubic centimeters, of the case (rectangular prism).

Answers

Answer:

23,040 cm^3.

Step-by-step explanation:

The case will be 6 * diameter of a can in length,

= 6* 8= 48 cm.

The width will be 4 * 8 = 32 cm.

The height = height of each can

= 15 cm.

So the volume of the case = 15*32*48

= 23,040 cm^3.

Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary

Answers

*see attachement for the triangles given

Answer:

PQ = 6.8

Step-by-step explanation:

Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:

LN/OQ = MN/PQ

LN = 5

OQ = 17

MN = 2

PQ = ?

Plug in the values

5/17 = 2/PQ

Cross multiply

5*PQ = 2*17

5*PQ = 34

PQ = 34/5

PQ = 6.8

Given
\qquad m \angle ABD = 70^\circm∠ABD=70

m, angle, A, B, D, equals, 70, degrees
\qquad m \angle CBD = 5x + 13^\circm∠CBD=5x+13

m, angle, C, B, D, equals, 5, x, plus, 13, degrees
\qquad m \angle ABC = 3x + 33^\circm∠ABC=3x+33

m, angle, A, B, C, equals, 3, x, plus, 33, degrees
Find m\angle ABCm∠ABCm, angle, A, B, C:

Answers

Answer:

42

Step-by-step explanation:

khanacademy

The measure of angle ABC by the given data is 57 degrees.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

∠ABD=70∘

Now,

To find the measure of angle ABC, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can write an equation using this fact and the given information:

m∠ABD + m∠CBD + m∠ABC = 180 70 + (5x + 13) + (3x + 33) = 180

To solve for x, we need to simplify and isolate it by performing the inverse operations on both sides. We can do this by following these steps:

Step 1: Combine like terms on both sides of the equation.

70 + 5x + 13 + 3x + 33 = 180 8x + 116 = 180

Step 2: Subtract 116 from both sides of the equation.

8x + 116 - 116 = 180 - 116 8x = 64

Step 3: Divide both sides by 8 to get x by itself.

8x / 8 = 64 / 8 x = 8

Now that we have the value of x, we can plug it into the expression for m∠ABC and simplify:

m∠ABC = 3x + 33 m∠ABC

= 3(8) + 33 m∠ABC

= 24 + 33 m∠ABC = 57

Therefore, by algebra the answer will be 57 degrees.

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Simplify the following expression: 1 2 ( 18 t ) + 2 t ( 9 ) − 12 .

Answers

Answer:

Hi! The answer to your question is 234t-12

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

234t - 12

Step-by-step explanation:

12(18t) + 2t (9) - 12

12× 18t + 2t × 9 - 12

216t + 18t - 12

234t - 12

2) What x value makes the exponential function greater than the
quadratic function?
A)X = -2
B)x = 0
X = 2
D) =4

Answers

Answer:

The answer is b

Step-by-step explanation:

X= 0 makes the exponential function greater than the quadratic function. Therefore, the correct option is option B.

What is exponential function?

The mathematical symbol for the exponent is [tex]e^{X}[/tex]. The word, unless specifically stated differently, generally relates to the positive-valued functional of something like a real variable, though it can be extended towards the complex numbers or adapted to other mathematical like matrices or Lie algebras.

The idea of exponentiation is where the exponential function got its start, although recent definitions allow for a rigorous extension to all real arguments, especially irrational values. X= 0 makes the exponential function greater than the quadratic function.

Therefore, the correct option is option B.

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Find the quotient and simplify 2 1/5 divided by 12

Answers

Answer:

11/60

Step-by-step explanation:

hope this helped:)

write 6 ratinol numbers between - 3 and - 4

Answers

Answer:

-3.1, -3.2, -3.3, -3.4, -3.5, -3.6

Step-by-step explanation:

4, 2, 4, 1, 1, 2, 2, 3, 0, 2, 1, 1, 4, 2, 5, 2, 1, 1, 0, 2, 2 Given the data points above, find the mean

Answers

Answer:

The mean of the data points is 2.

Step-by-step explanation:

The mean of data is all data point values added together and divided by the number of data points, or the average of all data points. All the numbers above added together is 42, and there are 21 data points, which means the mean of the data is [tex]\frac{42}{21}[/tex] or 2.

Answer:

2

Step-by-step explanation:

Add all the numbers up then divide by how many number there are to find the mean

4 + 2 + 4 +1+ 1+2+2+3+ 0+ 2+ 1+1+4 +2+5+2+1+1+0+ 2+2 =42

42 divided by 21= 2

Cash Orcheck had a balance of $867 in his checking account on
January 1. During January, Cash wrote checks for the following
amounts: $98. $456, $29, and $381. What was his balance at the
end of January?

Answers

Answer:

Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.

98+456+29+381= 964

867-964= -97

His final balance would be -97

Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.

So here are the two options

1) At least one or at most 2 checks must’ve bounced

2) He got more money in his checking account

im struggling on this problem i need help if you know (-x+3)-(x-5) PLEASE show THE WORK

Answers

Oh ok I just woke I just got off work I’m going on my homework

(15 points!) What is the m

Answers

EG is parallel to FH and AD is the transversal.

We know that the interior angles on the same side of the transversal are supplementary.

Angle EBC and Angle FCB are interior angles on the same side of the transversal.

So, Angle EBC + Angle FCB = 180°

=> Angle EBC + 76° = 180°

=> Angle EBC = 180° - 76°

=> Angle EBC = 104°.

Answer 104°

HELP WILL MARK BRAINLIEST

Answers

Answer:

Volume = 12

Step-by-step explanation:

Answer:

12cm³

Step-by-step explanation:

L=3cm

W=2cm

H=2cm

Volume=L*W*H

Volume =3*2*2

=12 cm³

What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1?

Answers

Answer:

y = x + 6

Step-by-step explanation:

Given:

Passes through (-4, 2)

m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = 1(x + 4)

y - 2 = x + 4

y = x + 6

Look out for links that say b i t.l y. Also please answer my question

Answers

Answer:I would say 12 I think

Step-by-step explanation:

Answer: 21.5 inches is the correct answer.

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A square is drawn on a coordinate plane with two vertices at (0,1) and (4,1)

Answers

Answer:

C. (0, -3) and (4, -3)

Step-by-step explanation:

Since (0, 1) and (4, 1) are 4 spaces apart, and the shape to be drawn is a square, each point has to be 4 spaces apart as well.

Hope this helps.

Fred wants to put a carpet in this room. The carpet costs $15.00 a square yard, how much would it cost for a 3 ft by 6 feet by 9ft by 12 ft

Answers

Solution :

Cost of carpeting per square yard = $ 15.00

For 3 ft by 6 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 3 ft by 6 ft is = [tex]$3 \times \frac{1}{3} \times 6 \times \frac{1}{3} $[/tex]

                                                    = 1 x 2

                                                    = 2 square yard

Therefore, cost of carpeting 2 square yard = 2 x 15

                                                                       = $ 30

For 9 ft by 12 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 9 ft by 12 ft is = [tex]$9 \times \frac{1}{3} \times 12 \times \frac{1}{3} $[/tex]

                                                    = 3 x 4

                                                    = 12 square yard

Therefore, cost of carpeting 2 square yard = 12 x 15

                                                                       = $ 180

what is 2x + 20 + 2x = 60

Answers

I think you know Bc the other person already said it so give em brainlest

Answer:

 =  1 0

Step-by-step explanation:

Solve

1. Combine like terms

2  +  2 0  + 2  =  6 0

4  +  2 0  =  6 0

2. Subtract  20  from both sides of the equation

4  +  2 0  =  6 0

4  +  2 0  −  2 0  =  6 0  −  2 0

3. Simplify

Subtract the numbers

4  +  2 0  −  2 0 =  6 0  −  2 0

4  =  6 0  −  2 0

Subtract the numbers

4 =  6 0  −  2 0

4  =  4 0

4. Divide both sides of the equation by the same term

4x = 40

4x/4 = 40/4

5. Simplify

Cancel terms that are in both the numerator and denominator

4x/4 = 40/4

x = 40/4

Divide the numbers

x = 40/4

x = 10

HELP??!?????!??!?!???​

Answers

The first two are true, I’m not sure about the last but the other two are wrong.

I need help pls!!! I have 4 minutes left to answer these

Answers

Answer:

its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.

Answer:

7/6 is the answer

Step-by-step explanation:

=(1/2+2/3)

taking L.C.M

=     (3+4)/6

=7/6

PLS HELP I GIVE BRAINLEST IF U HELP

Answers

Step-by-step explanation:

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25/2 of 40kg please help​

Answers

[tex] \bf \huge 500 \: k.g[/tex]

Step-by-step explanation:

Given that:

25/2 of 40 k.g

To find:

simplify

Explanation:

⟼ 25/2 of 40 k.g

⟼ [tex]\cancel{25/2}[/tex] × 40 k.g

⟼ 12•5 × 40 k.g

⟼ 500 k.g

∴ 25/2 × 40 k.g = 500 k.g

Hence simplified ☑️

Answer:

500kg

Step-by-step explanation:

as we know "OF" in mathematics means to multiply, so you have two ways

FIRST WAY:

Simplify 25/2 x 40so it will be 25 x 20 and answer will be = 500

SECOND WAY:

25/2 x 40  = 1000/2 simplify= 500

i hope its clear

find the interest earned:

$11,500 for 3.5 years at 7.25% annual simple interest

Answers

Answer:

Future Value, using...

 Simple Interest: $  

14,418.13

 Annually Compounded Interest: $  

14,692.25

Step-by-step explanation:

please hurry. only answer if you know the answer. thank you! <3

Answers

it think it might be b because it just makes sense

Below is the graph of the equation y=|x+2|-1. Use this graph to find all values of x such that
y>0
y<0
y=0
Please Help I will award the brainiest

Answers

Answer:

y>0,        -3>x> -1

y<0,        -3<x<-1

y = 0,       x = -3 and x = -1

Step-by-step explanation:

Answer:

Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.

Have a good day!

My sister is crying because this is the only thing that can get her grade up I tried to help but it isn’t making any sense so plz help. X(x-5)(2x+1)=0

Answers

Answer:

it make sense

Step-by-step explanation:

(X is another 2)

x-5=3

2x+1=5

we're gonna barrow 5 from the first question and get the answer in the second question

so..

5-5=0

hope it helps

someone please please help me with this !

Answers

Answer:

551.8 feet

Step-by-step explanation:

We are given

Adjacent = 1300 feet

Opposite = x

Angle = 23°

We solve using the trigonometric function Tangent

tan θ = Opposite/Adjacent

tan 23 = x/1300 feet

Cross Multiply

x = tan 23 × 1300 feet

x = 551.81726107 feet

Approximately = 551.8 feet

The Length of the building = 551.8 feet

Find the measure of missing angles

Answers

B is 20 degrees, c is 160 degrees.

A straight line is 180 degrees, but because there are 2 lines, they cut into each-other causing there to be 4 angles, 2 pairs of the same amount, let the known angle be angle A.

Angle A and angle B are the same, Angle A is 20 degrees meaning that angle B is 20 degrees, leaving 160 degrees to be what c equals

Angle B= 20 degrees

Angle C= 160 degrees

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Answers

Answer:

a.

Step-by-step explanation:

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Answer:

A. (7, -6)

Step-by-step explanation:

While I am sure there is some kind of formula to use, I don't know it. I drew A and C on graph paper, then plotted the points here to see what would connect to form an isosceles triangle.

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