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3 years ago

MATHEMATICAL CONNECTIONS What value of x makes the quadrilateral a parallelogram?

Mathematics

1 answer:

Virty [35]3 years ago

6 0

Answer:

x = 5 (check the diagram included)

Step-by-step explanation:

The question is incomplete, I have included a diagram to aid the understanding of the question

Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal

From the attached figure, we have:

|FG| = 3x + 10, |HE| = 7x - 30

To calculate for the value of x that makes the quadrilateral a parallelogram, we have:

Remember the opposite sides of a parallelogram are equal

3x + 10 = 7x - 30

3x - 7x = 10 - 30

-4x = -20

x = 20 ÷ 4

x = 5

x = 5 makes the quadrilateral a parallelogram

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the length of a rectangle is 4 times its width. The rectangles perimeter is 68 feet what is the rectangles length and width ??

kodGreya [7K]

Answer:

Length = 27.2

Width = 6.8

Step-by-step explanation:

P = L+L+W+W

68 = 4(L+L)+W+W

68 = 4(x+x)+x+x

68 = 4x+4x+x+x

68 = 10x

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L = 27.2

W = x

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Answer:

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Step-by-step explanation:

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13.

Artist 52 [7]

Answer:

5 units

Step-by-step explanation:

An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:

2L + B = 14 units

Where:

L is the measure of one leg

B is the measure of the base

Since two legs are the same and the base is 1 less, this means the measure of each leg would be:

B = L -1

Now we have two equations:

2L + B = 14 units

B = L- 1

We plug one equation into the other and make 1 equation:

2L + (L-1) = 14 units

Get rid of the parentheses:

2L + L - 1 = 14

Combine like terms:

3L - 1 = 14

Add 1 to both sides of the equation:

3L - 1 + 1 = 14 + 1

3L = 15

Divide both sides by 3:

3L/3 = 15/3

L = 5

So the length of a leg is 5 units

Let's check!

B = L - 1

B = 5 - 1

B = 4

Then we use that to solve for the perimeter:

2L + B

2(5) + 4

10 + 4 = 14

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3 years ago