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Amiraneli [1.4K]
3 years ago
11

Statement: If a polygon is a parallelogram, then it is not a trapezoid.

Mathematics
2 answers:
masya89 [10]3 years ago
7 0

Answer:

I think it is C but I'm not completely sure about the answer

Step-by-step explanation:

Viktor [21]3 years ago
3 0

Assume the following conditional statement is:

If p \to q

It means:

If p, then q

The contrapositive is gotten by negative p and q

i.e.

If \lnot p \to \lnot  q

The above means:

If not p, then not q

Using the above analysis.

The conditional statement from the question is:

If a polygon is a parallelogram, then it is not a trapezoid.

The keywords to negate, which gives the contrapositive, are:

is a parallelogram

is not a trapezoid

When negated, the keywords become:

is not a parallelogram

is a trapezoid

So, the contrapositive is:

If a polygon is not a parallelogram, then it is a trapezoid.

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getting home from trick or treat celia and emma counted their candies. half of celias candies is equal to 2/3 of emmas candies.
blagie [28]

Candies with celias and emmas is 60 and 45 respectively.

<u>Solution:</u>

Given, Getting home from trick or treat celia and emma counted their candies.  Half of celias candies is equal to 2/3 of emmas candies.  

They had a total of 105 candies altogether.  

We have to find how many candies did each of them have.

Let the number of candies with celias be n, then number of candies with emma will be 105 – n.

Now according to given condition.

\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}

Hence, candies with celias and emmas is 60 and 45 respectively.

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