Answer:
Vertical angles are angles that are opposite to each other. Thus, they are therefore congruent angles as they have same measure and number of degrees.
Step-by-step explanation:
9514 1404 393
Answer:
100.27 ft^2
Step-by-step explanation:
The area of each square is ...
A = s^2 = (6 ft)^2 = 36 ft^2
The area of the 1/4 circle is ...
A = 1/4πr^2 = 1/4π(6 ft)^2 = 9π ft^2 ≈ 28.27 ft^2
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The area of the garden is the sum of the areas of the quarter circle and the two squares:
A = 28.27 ft^2 + 2×36 ft^2 = 100.27 ft^2
The area of the garden is about 100.27 square feet.
Answer:
The negative solution k = -1 is the desired solution.
Step-by-step explanation:
Let the given number = k
So, according to the question:

or, 
Now, solving this quadratic equation, we get

or, k ( k-9) + 1 (k-9) = 0
⇒( k-9)(k+1) = 0
or, ( k-9) = 0 , or (k+1) = 0
⇒ k = 9 or k = -1
Since we only want the negative solution , the k = -1 is the desired solution.
The answer is -7/2. In decimal it is -3.5.