the correct option is:
<em>"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."</em>
<em />
<h3>Which of the following statements can be used to construct an algebraic proof the point A lies on circle P?</h3>
A circle is defined as the set of equidistant points to a given point which is the center of the circle.
That distance to the center is called the radius.
Here, the center is at the point (0, 0), also called the origin, so if the distance between the point A and the origin, then point A lies on top of the circle P.
From that, we conclude that the correct option is:
<em>"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."</em>
<em />
That is the only proof that we can (and should) use to prove that a point lies on a circle.
<em />
If you want to learn more about circles:
<em>brainly.com/question/1559324</em>
<em>#SPJ1</em>
The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>
The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
Read more about rotation at:
brainly.com/question/7437053
#SPJ1
Answer:
B: 24ft^2
Step-by-step explanation:
Area of triangle = (base x height)/2
Step 1: form an equation
a = (12ft x 4ft)/2
Step 2: solve equation
a = 48ft^2 / 2
a = 24ft^2
*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*
5/7 ÷ 1/3 = 5/7 × 3/1 = 15/7
