Answer:
x = 9
Step-by-step explanation:
Corresponding sides are in proportion. That means that
12x - 12 = 96
12x = 108
x = 9
By the way, the scale factor is 16/12 = 4/3
60/360*pi*6^2=6pi. (Area of a sector)
1/2*6*6*sin(60)=9root3. (Area of a triangle)
So it must be the top one
Answer:
Step-by-step explanation:
The shaded area is the difference of areas of the rectangle and the square.
<u>Rectangle:</u>
- A₁ = (x + 10)(2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50
<u>Square:</u>
- A₂ = (x + 1)² = x² + 2x + 1
<u>Shaded region:</u>
- A₁ - A₂ =
- 2x² + 25x + 50 - (x² + 2x + 1) =
- 2x² + 25x + 50 - x² - 2x - 1 =
- x² + 23x + 49
Substitute -12 for x to get |-12 + 10| and -12 + 10 is -2, the absolute value of -2 is just 2.
|x + 10| if x = -12 is 2
Answer:
B
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