Answer:
Step-by-step explanation:
Area of Square = (x+5)²= x² + 10x + 25
Area of rectangle = 2x * x = 2x²
area of rectangle + 1 = Area of square
2x² + 1 = x² + 10x +25
2x² + 1 - x² - 10x - 25 = 0
x² - 10x - 24 = 0
(x - 12) (x + 2) = 0
x - 12 = 0 ; Ignore x + 2 because length wont come in negative
x = 12
Answer:
632
Step-by-step explanation:
So we can define decreasing x% in two ways: we can define 20% off as 80% of the original value, or we can define subtracting 20% from the original value, and both representations are useful.
In this case it's more useful to define 20% as subtracting 20%, from the original value. The reason for this, is because since we're subtracting 20% of the original value, we then know that 126.40 is 20% the original value.
So to find x% of some value, you generally use the following equation:
where A=original amount, and x is the percent. This equation is simply converting the x% to a decimal value. Since 126.40 is 20%, we can derive the following equation.

We can solve for A, by dividing by 0.20

It's also important to note, you didn't really have to set up this entire equation, since you know that the 126.40 is 20%, you simply could've multiplied by 5, since 20% is really just 1/5 of the entire value, so get the entire value, or original value you multiply by 5
Answer:
Option C: X=1
Step-by-step explanation:
2(X + 8) - 4x = 10x + 4
2X + 16- 4X= 10X + 4
-2X +16 =10X + 4
16 - 4 = 10X+2X
12 =12X
X=1
Answer:
Angle A = Angle T
Angle B = Angle U
Angle C = Angle V
Step-by-step explanation:
The order that the angles are listed above shows you which angle in the first triangle corresponds to which angle in the other triangle. It tells you triangle ABC = triangle TUV. Since A and T are both listed first, they are equivalent. Angles B and U are both listed second, so they correspond to each other. And angles C and V are listed last, so they correspond to each other.
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