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4 years ago

Please help in this question. I WILL mark brainliest. NO LINKS

Mathematics

1 answer:

deff fn [24]4 years ago

6 0

Answer:

B, you are correct

Area of the bigger trapezoid = (6 + 2) x 1/2 x 6 = 8 x 1/2 x 6 = 4 x 6 = 24

Area of the smaller trapezoid = (4 + 2) x 1/2 x 3 = 6 x 1/2 x 3 = 3 x 3 = 9

<h2>Area of the shaded area = 24 - 9 = 15</h2>

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

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aleksandrvk [35]

Answer:

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Step-by-step explanation:

You know the distributive property tells you ...

a(b +c) = ab +ac

Here, you can let

a = (x+3),
b = x,
c = 7

and you get ...

a ( b + c ) = a·b + a·c

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Now, you can use the distributive property on each of those products:

= x·x +3·x +x·7 +3·7

= x^2 +10x + 21

_____

Alternate solution

This is perhaps more commonly done by separating the terms of the first factor first:

(x +3)(x +7) = x(x +7) +3(x +7)

Then the next round looks like ...

x^2 +7x +3x +21

In order, left to right, these terms are the products of First terms, Outer terms, Inner terms, and Last terms. The acronym FOIL is often used to help students remember these pairs of products.

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For anything else, the distributive property is relatively easy to remember and apply. Each term in each factor is multiplied by the remaining factors. The process is repeated until there are no parentheses left. Then like terms can be collected.

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3 years ago

Polygons are a subcategory of parallograms

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Answer:

Step-by-step explanation:

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We know many quadrilaterals by their special shapes and properties, like squares. Remember, if you see the word quadrilateral, it does not necessarily mean a figure with special properties like a square or rectangle! In word problems, be careful not to assume that a quadrilateral has parallel sides or equal sides unless that is stated.

Special Quadrilaterals

A parallelogram has two parallel pairs of opposite sides.

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram.

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Kites have two pairs of adjacent sides that are equal.

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We can put squares in the intersection of the two circles.

From this diagram, you can see that a square is a quadrilateral, a parallelogram, a rectangle, and a rhombus!

Is a trapezoid a parallelogram? No, because a trapezoid has only one pair of parallel sides. That is why we must show the set of trapezoids in a separate circle on the Venn diagram.

What about kites? Kites are quadrilaterals that can be parallelograms. If their two pairs of sides are equal, it becomes a rhombus, and if their angles are equal, it becomes a square.