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kumpel [21]
3 years ago
15

What percent of 88 is 72.6? ...?

Mathematics
1 answer:
Feliz [49]3 years ago
8 0
<span>Percentage problems are simple division problems. Here, what percentage of x is y means the answer is y divided by x (times 100). Let's apply it to this question.
Divide 72.6 by 88, 72.6/88. So the answer would be 0.825 then multiply it to 100 to make it a whole. The answer would 82.5%. I hope this helps you with your problem</span>
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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
Please answer I need help to pass
Goryan [66]

Answer:

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Answer:

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Step-by-step explanation:

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Answer: 2x^3 + 3x^2 - 11x - 6

Step-by-step explanation: simplified

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How can you use the quotient of a power property to explain the definition of x^-n?
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X^-n duals: 1/x^n. You cannot have negative exponents so do its inverse to get rid of the negative exponent
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