Describe the method you would use to divide mixed numbers. 2 1/3 divided by 1 1/6 = 2
1 answer:
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Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
Answer:
The percentage increase in Area of rectangle is 200%
Step-by-step explanation:
Given as :
The ratio of the width to the length of a rectangle is 2:3
Let The length of rectangle = 2 x
Let The width of rectangle = 3 x
∵ Area of rectangle = length × width
So, = 2 x × 3 x
Or, = 6 x²
<u>Again</u>
The increased length of rectangle = 2 x + 2 x = 4 x
The increase width of rectangle = 3 x + 50% of 3 x
I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x
∵ Increased Area of rectangle = increased length × increased width
Or, = 4 x × 4.5 x = 18 x²
So, The percentage increase in area = × 100
Or, The percentage increase in area = × 100
Or , The percentage increase in area = × 100
∴ The percentage increase in area = 200
Hence, The percentage increase in Area of rectangle is 200% Answer