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Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

8 0

Answer:

Step-by-step explanation:

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What is the circumference of quadrilateral ABED in cm?

Natasha2012 [34]

the perimeter of quadrilateral ABED is 36.

<h3 /><h3>What is circumference?</h3>

A circumference is the total distance around a plane shape. Another name for circumference is called perimeter

To calculate the circumference of the quadrilateral, we use the formula below.

Formula:

Peri. of ABED = /AB/+/BE/+/ED/+/DA/............. Equation 1

From the Diagram,

Given:

/AB/ = /DC/ = 8 cm,
/BE/ = 2×/DA/ = 2×6 = 12 cm
/ED/ = √(6²+8²) = √(36+64) = √100 = 10 cm
/DA/ = 6 cm

Substitute these values into equation 1

Peri. of quadrilateral ABED = 8+12+10+6
Peri. of quadrilateral ABED = 36 cm

Hence, the perimeter of quadrilateral ABED is 36.

Learn more about circumference here: brainly.com/question/20489969

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4 0

2 years ago

I am extremely confused about the length of line segment AB. Could I get some help? (I have attached an image to this post)

Evgen [1.6K]

Answer:

The length of line segment AB is 9 units.

Step-by-step explanation:

To find this, you count how many squares there are between the two points. Hope I helped.

7 0

3 years ago

What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

$\rm y^2 + x^2 = 53 \\\\y -x = 5$

From equation 1

$\rm y -x=5\\\\y = 5+x$

Substitute the value of y in equation 1

$\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0 \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2$