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.
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The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
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Answer:
a function, it passes the vertical line test
Step-by-step explanation:
Answer:
So i say C
Step-by-step explanation:
240 = area
The total change in the amount of water in the pool is 288 gallons.
<h3>What is Volume?</h3>
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Here, Rate of water pumped into her pool = 6 gallons / minute.
Total Duration = 48 minutes
Total amount of water = Rate X Time
= 6 X 48
= 288 gallons
Thus, the total change in the amount of water in the pool is 288 gallons.
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