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2 years ago

Find the value of x.(Image)Find the value of x so that f || g(Image)

Mathematics

1 answer:

Helga [31]2 years ago

7 0

Answer:

x = 13 , x = 9

Step-by-step explanation:

for the lines to be parallel then 9x + 2 and 119 are alternate angles and are congruent , so

9x + 2 = 119 ( subtract 2 from both sides )

9x = 117 ( divide both sides by 9 )

x = 13

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

For f and g to be parallel then 18x - 44 and 8x - 10 are same- side interior angles and sum to 180° , then

18x - 44 + 8x - 10 = 180 , that is

26x - 54 = 180 ( add 54 to both sides )

26x = 234 ( divide both sides by 26 )

x = 9

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A 15% dextrous solution ( 15 mg per 100 ml of solution is given intravenously. Suppose a total of 4.086 L of the solution is gi

Softa [21]

Answer:

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Step-by-step explanation:

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3 years ago

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

1/2 of the people in the clinic are men, 1/3 are elderly, how many people are not elderly or men?

Nostrana [21]

1/6 of the people are not elderly or men

<h3>How to determine the proportion?</h3>

The given parameters are:

Men = 1/2

Elderly = 1/3

The number of people that are not elderly or men are:

People = 1 - Men - Elderly

So, we have:

People = 1 - 1/2 - 1/3

Evaluate

People = 1/6

Hence, 1/6 of the people are not elderly or men

Read more about proportion at:

brainly.com/question/1781657

#SPJ1

7 0

2 years ago

Jessica's Furniture Store manager is trying to figure out how much to charge for an armchair that just arrived. The chair was pu

VARVARA [1.3K]

Answer: The manager should sell the chair for $1740.

Step-by-step explanation:

45% of 1200 Solve this to find the amount increase

0.45 * 1200 = 540 Now add this amount to find the price.

$1200 + $540 = $1740

or you could do it this way

100% + 45% = 145%

145% of 1200 =?

1.45 * 1200 = 1740

3 0

3 years ago

Describe the transformations from the parent y=|x-2|+1 urgent pls answer.

Zanzabum

Answer:

find he domain by finding where the equation is defined. the range is the set of values that correspond with the domain.

8 0

2 years ago