The remainder is 3 when we need to divide 
Step-by-step explanation:
We need to divide
and find the remainder
Dividing:
The division is shown in figure below:
The quotient is:
The remainder is: 3
So, The remainder is 3 when we need to divide 
Keywords: Division of Polynomials
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Whatever% of anything is just (whatever/100) * anything.
x = ounces of 14% iodine.
y = ounces of 29% iodine.
we know that in a 14% iodine solution, 14% is iodine and the rest is something else, we also know that "x" ounces of the solution have 14% of iodine, how much is that? (14/100) * x, or 0.14x.
likewise, in the 89 ounces of 47% solution there is (47/100) * 89 of iodine.
and likewise as well, in "y" ounces of 29% iodine there is (29/100) * y, or 0.29y of iodine.
bearing in mind that, whatever "x" and "y" may be, x + 89 = y, and that the sum of the iodine amounts also will equate 0.29y.
Answer:
Multiply both sides of the equation by 1/3
Step-by-step explanation:
3x^2+18x=21
The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation
This is the same as multiplying by 1/3
1/3 * (3x^2+18x)=21*1/3
x^2 +6x = 7
Answer: Tiffany can be certain the trapezoids are congruent.
Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
- <em>Rotation</em>: the figure is turned around a fixed point;
- <em>Reflection</em>: is created by fliping over the figure over a line;
- <em>Translation</em>: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
The answer would be 60 because you do based times height which equals the area