Answer:
x = 
Step-by-step explanation:
Applying altitude- on - hypotenuse theorem.
(leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )
x² = 3 × (3 + 7) = 3 × 10 = 30 ( take square root of both sides )
x = 
Answer:
Perimeter of rectangle:
Step-by-step explanation:
We are given the following in the question:
Length of rectangle:

Width of rectangle:

Perimeter of rectangle:

Expressions to calculate perimeter

The attached image shows the image of the rectangle.
9514 1404 393
Answer:
14.01, 493, 87
Step-by-step explanation:
Subtracting 28 from both sides tells you the range of values you need to be looking at.
28 + x > 42
x > 14
Any values more than 14 will make the inequality true. Three of them are ...
14.01, 493, 87
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 />
<em>Dividing both sides by 3 we get:</em>
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<em />
<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.