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Anuta_ua [19.1K]
2 years ago
15

Complete the proof to show that ABCD is a parallelogram.

Mathematics
1 answer:
LuckyWell [14K]2 years ago
6 0

In the proof given, BC║AD and CD║BA because: B. slopes of opposite sides are equal.

<h3>What is the Slope of Parallel Lines?</h3>

If two lines are parallel, they will have the same slope value,.

Slope = rise/run.

Slope of BC = rise/run = -2/5

Slope of AD = -2/5

Slope of BA = rise/run = -6/1 = -6

Slope of BA = rise/run = -6/1 = -6

Therefore, we can conclude that BC║AD and CD║BA because: B. slopes of opposite sides are equal.

Learn more about the slope of parallel lines on:

brainly.com/question/10790818

#SPJ1

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Assume the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons.
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<em><u>Solution:</u></em>

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

<em><u>The average rate of change is given by formula:</u></em>

\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}

Value in 1950 = 12 million tons

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Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

<em><u>Substitute the given values in formula,</u></em>

<em><u></u></em>\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}<em><u></u></em>

Thus rate of change is 16.8 million tons per year

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