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s2008m [1.1K]
3 years ago
11

after two tests carol has a total score of 170. the score on her first test was 8 points higher than the score on her second tes

t.what was carol's score on each test

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0
X stands for the score of her first test
Y stands for the score of her second test

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Answer:

\overline {PM} \cong \overline {ON} because they are opposite sides of a parallelogram.

Step-by-step explanation:

First of all, let us have a look at the definition of a parallelogram.

<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>

<em></em>

For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.

The two pair of lines are:

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For ABCD to be a parallelogram, the lines

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AND

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------------------------------

In the given question, we are given that the quadrilateral MNOP is a parallelogram.

The two pairs opposite lines are OP, NM and PM, ON.

As per the definition of a parallelogram,

OP and NM must be <em>parallel and equal </em>to each other.

AND

PM and ON must be <em>parallel and equal </em>to each other.

\therefore \overline {PM} \cong \overline {ON}.

Hence proved.

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