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Maru [420]
2 years ago
11

Solve the proportion for x. 2/9=3/(x+2)

Mathematics
2 answers:
attashe74 [19]2 years ago
7 0

Answer:

x as a fraction: 11\frac{1}{2}

Step-by-step explanation:

Variable x cannot be equal to −2 since division by zero is not defined. Multiply both sides of the equation by 9(x+2), the least common multiple of 9,x+2.

2 ( x+ 2) = 9 x 3

Use the distributive property to multiply 2 by x + 2.

2x + 4 = 9 x 3

Multiply 9 and 3 to get 27.

2x + 4 = 27

Subtract 4 from both sides.

2x = 27 - 4

Subtract 4 from 27 to get 23.

2x = 23

Divide both sides by 2.

x = \frac{23}{2}

Simplify

11\frac{1}{2}

Hope it helps and have a great day! =D

~sunshine~

barxatty [35]2 years ago
4 0

Answer:

x=\frac{23}{2}

Step-by-step explanation:

Hi there!
We are given the following proportion:

\frac{2}{9} =\frac{3}{x+2}, and we want to solve it for x

To solve proportions, we can cross-multiply; in other words, we can multiply the terms in the numerator of one proportion with the terms in the denominator of the second proportion.

This is a property that where if you have the proportion \frac{a}{b} =\frac{c}{d}, it can also be represented as ad=bc
So let's cross multiply; multiply 2 by x+2, and multiply 9 by 3. Then, set them equal to each other.

2(x+2)=9*3

Multiply

2x+4=27
Subtract 4 from both sides

2x=23

Divide both sides by 2

x=\frac{23}{2}
The answer can be left as that.
Hope this helps!

If you wish to solve a similar problem for practice, take a look here: brainly.com/question/24355081

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Which set of ratios could be used to determine if one triangle is a dilation of the other
Lisa [10]

Answer:

See explanation

\frac{3.6}{3}  =  \frac{5.4}{4.5}  =  \frac{6}{5}

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

\frac{3.6}{3}  = 1.2

\frac{5.4}{4.5}  = 1.2

\frac{6}{5}  = 1.2

The set of ratios which could be used to determine if one triangle is a dilation of the other is

\frac{3.6}{3}  =  \frac{5.4}{4.5}  =  \frac{6}{5}

If there are multiple correct options then check this one too.

\frac{3}{3.6}  =  \frac{4.5}{5.4} =  \frac{5}{6}

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3 years ago
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A Triangle has angles which measure 65 degrees and 32 degrees, What is the measure of the 3rd angle?
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Step-by-step explanation:

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A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer
Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

L_A \to length of play area A

W_A \to width of play area A

L_B \to length of play area B

W_B \to width of play area B

x \to Area of A

y \to Area of B

From the question, we have the following:

L_A = 1 + 4W_A

W_B = 2 + W_A

L_B = 2 + 3W_B

x = y

The area of A is:

x = L_A * W_A

This gives:

x = (1 + 4W_A) * W_A

Open bracket

x = W_A + 4W_A^2

The area of B is:

y = L_B * W_B

y = (2 + 3W_B) * ( 2 + W_A)

Substitute: W_B = 2 + W_A

y = (2 + 3(2 + W_A)) * ( 2 + W_A)

Open brackets

y = (2 + 6 + 3W_A) * ( 2 + W_A)

y = (8 + 3W_A) * ( 2 + W_A)

Expand

y = 16 + 8W_A + 6W_A + 3W_A^2

y = 16 + 14W_A + 3W_A^2

We have that:

x = y

This gives:

W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2

Collect like terms

4W_A^2 - 3W_A^2 + W_A  -14W_A  - 16 =0

W_A^2  -13W_A  - 16 =0

Using quadratic calculator, we have:

W_A = -14.1 or W = 1.13 --- approximated

But the width can not be negative; So:

W = 1.19

7 0
3 years ago
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