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

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

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

Answer:

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

Step-by-step explanation:

Answer:

11/60

Step-by-step explanation:

hope this helped:)

Answer:I would say 12 I think

Step-by-step explanation:

Answer: 21.5 inches is the correct answer.

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.

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!

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

Step-by-step 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

Answer:

500kg

Step-by-step explanation:

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

FIRST WAY:

SECOND WAY:

i hope its clear

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.

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.

To know more about exponential function, here:

https://brainly.com/question/17246770

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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

Answer:

Future Value, using...

 Simple Interest: $  

14,418.13

 Annually Compounded Interest: $  

14,692.25

Step-by-step explanation:

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

4  +  2 0  −  2 0 =  6 0  −  2 0

4  =  6 0  −  2 0

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

4x/4 = 40/4

x = 40/4

x = 40/4

x = 10

*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

Step-by-step explanation:

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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°

Answer:

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.

Answer:

42

Step-by-step explanation:

khanacademy

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

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.

More about the Algebra link is given below.

brainly.com/question/953809

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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

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.

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

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

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.

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

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

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

Answer:

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

Step-by-step explanation:

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Hope this helps!!

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Answer:

234t - 12

Step-by-step explanation:

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

12× 18t + 2t × 9 - 12

216t + 18t - 12

234t - 12

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