Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
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Answer:
Step-by-step explanation:
Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.
So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b
These four angles sum up to 360, so we have
And since a and b were the same, a is also 45 degrees.
The equation to model the above scenario is +22x - 23 = 0
The perimeter of the expanded rectangle is 48 units
<h3>What is a rectangle?</h3>A rectangle is a quadrilateral with its 4 angles 90°
Analysis:
First rectangle:
length = 10 + x
width = x
Second rectangle:
length = x + 14
width = x + 8
Area of expanded rectangle = 135 square unit
(x+8)(x+14) = 135
+ 8x + 14x + 112 = 135
+ 8x + 14x -23 = 0
+ 22x -23 = 0
+ 23x - x - 23 = 0
(x-1)(x+23) = 0
Therefore x = 1
Expanded length = 1+14 = 15
Expanded width = 1+8 = 9
Perimeter = 2(9+15) = 48 units
Learn more about Rectangles: brainly.com/question/25292087
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