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kirill115 [55]
3 years ago
15

ACDF is a trapezoid and

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

See the attached figure.

As shown: A C D F is a trapezoid and BE is a mid-segment.

The mid-segment of the trapezoid is the average of its bases.

BE = 0.5 ( A F + C D)

Given: CD = 18 , BE = 2x + 10   and   A F = 6x - 12

So,

2x + 10 = 0.5 ( 18 + 6x - 12)

Solve for x

2x + 10 = 0.5 (6 + 6x)

2x + 10 = 3 + 3x

10 - 3 = 3x - 2x

∴ x = 7

<u>So, the value of x is 7</u>

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PLEASE HELP! WILL MARK BRAINLIEST
Veseljchak [2.6K]

The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

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

The given parameters are:

Base = 5(x+3)

Height = 2(x+9)

Perimeter = 108

The perimeter of a rectangle is

P = 2 *(Base + Height)

So, we have:

2 *(5(x + 3) + 2(x + 9)) = 108

Divide both sides by 2

5(x + 3) + 2(x + 9) = 54

Open the brackets

5x + 15 + 2x + 18 = 54

Evaluate the like terms

7x = 21

Divide by 7

x = 3

Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)

Base = 5(3+3) = 30

Height = 2(3+9) = 24

Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

Read more about perimeter at:

brainly.com/question/24571594

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2 years ago
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Step-by-step explanation:

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Help please it says choose all answers that apply
Anestetic [448]

Answer:

x = 1

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Step-by-step explanation:

x = 1

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<em>Hope that helps!</em>

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