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Hello!
The standard equation of a circle is x² + y² = r², when the center is at the origin.
So therefore, we just need to substitute the radius into the equation to find the appropriate equation.
x² + y² = (3)²
x² + y² = 9
Therefore, the equation of the circle is C, x² + y² = 9.
Answer:
the rectangle's width is approximately 3.39 inches
and the length is approximately 13.56 inches.
Step-by-step explanation:
Recall that the area of a rectangle is Length times Width
If we name the length "L" and the width "W", we have:
L * W = 46
Also: "the length is 4 times the width" can be written in math form as:
L = 4 * W
and now we can replace the length L by 4 * W in the formula for the area:

and now we find the value of L:

Therefore, the rectangle's width is approximately 3.39 inches
and the length is approximately 13.56 inches.
It's a bisector angle construction.
BD is the Angle Bisector.
Angle bisector - A line which cuts an angle into two equal halves.
Therefore statement C is true.
<h3>C. m∠ABD = m∠CBD</h3>
Answer:
13 books
Step-by-step explanation:
Total cost without the discount = $58 + $7 = $65
Cost of one book = $5
Let the number of books be n
5n = 65
n = 65/5
n = 13