5. In this diagram, lines AC and DE are parallel,
1 answer:
The length of side DE is 3cm
<h2 /><h3>Parallel line</h3>Since the line AC is equivalent to DE, hence AC = DE
To get the length of DE, we will need to get the length oF AC using the Pythagoras theorem:
Given the following parameters
Hypotenuse = 5
Opposite = 4
Required
Adjacent side
Substitute the given parameters into the formula of Pythagoras theorem.
AC² = 5² - 4²
AC² = 25 - 16
AC² = 9
AC = 3
Hence the length of side DE is 3cm
Learn more on Pythagoras theorem here: brainly.com/question/12306722
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Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be
And the kitten weight =
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:
<em>Multiplying both sides by 2 we get:</em>
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<em>Adding both sides by 6 we get:</em>
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<em>Dividing both sides by 3 we get:</em>
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<em>The weight of cat = 14 pounds.</em>
Substituting the value of to get the kitten's weight:
<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.