6x−4=2(3x−2)

Which equation correctly shows the multiplication of the means and extremes in the proportion 7.2∕9.6 = 21.6∕28.8?

vampirchik [111]

Which equation correctly shows the multiplication of the means and extremes in the proportion 7.2 ∕ 9.6 = 21.6 ∕ 28.8?

a. 7.2 ⋅ 9.6 = 21.6 ⋅ 28.8

b. 9.6 ⋅ 21.6 = 28.8 ⋅ 7.2

c. 7.2 ⋅ 21.6 = 28.8 ⋅ 9.6

d. 7.2 ⋅ 28.8 = 21.6 ⋅ 28.8

Answer:

b. 9.6 ⋅ 21.6 = 28.8 ⋅ 7.2

Step-by-step explanation:

When a proportion say a/b = c/d is given, the outer terms are called the extremes while the inner/middle terms are called the means.

In the case of a / b = c / d,

the outer terms are a and d

the inner terms are b and c

Often times, we find the cross products of the proportion to test whether the two ratios in the proportion are equal. To do that, we find the product of the extremes and equate it to the product of the means.

In the case of a / b = c / d,

the cross products are a x d and b x c

So if a x d = b x c, then a/b = c/d is a true proportion.

Now to the question;

Given proportion: 7.2 / 9.6 = 21.6 / 28.8

Extremes = 7.2 and 28.8

Means = 9.6 and 21.6

The correct multiplication of the means and extremes is therefore

9.6 x 21.6 = 7.2 x 28.8

or

9.6 · 21.6 = 7.2 · 28.8

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Stable electron configurations are likely to contain ____.

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A- Stable electron configurations are likely to contain - filled energy sub-levels.

B- How many unpaired electrons are in a sulfur atom (atomic number 16)? Answer is 2

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What is the measure of RMN?

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The Answer is: 63°

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Similar triangles are congruent.

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Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

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A rectangle has perimeter 28cm. Its area is 42sq.cm. Determine the dimensions of the rectangle. Include a diagram in your soluti

yawa3891 [41]

The dimensions of the rectangle are: b=9.65 cm and h=4.35 cm or b=4.35 cm and h= 9.65 cm.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle is equal to base x height (A=bh). The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2b+2h.

<h3>System of Linear Equations</h3>

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

Perimeter=28cm

Area= 42 cm²

If the perimeter is the sum of all sides of the rectangle, you have:

Perimeter= 2b+2h=28

If the area of the rectangle is 42cm², you have:

Area=bh=42 cm²

You can write a system of linear equations.

2b+2h=28 (1)

bh=42 (2)

From equation 2, you have $b=\frac{42}{h}$ . Then, you can replace it in equation 1.