E<span>xactly one plane contains a given line and a point not on the line.</span>The statement that best describes the relationship between a line and a point in a plane is that, there is exactly one plane containing a given line and a point not on the line.
I think the equation that is not true is D. (200m = 2cm)
Hope this helps! :D
Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
<u></u>
Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
<u></u>
If you divide 25 by 12, then you will get 2.083 (3 repeating). If we round that, it will turn to about 3 inches.
Given:
Length of the painting = 12 inches
Width of the painting = 10 inches
To find:
The area of the rectangular painting by using Distributive Property to decompose the factor 12.
Solution:
The area of a rectangle is

So, the area of the rectangular paining is

Using Distributive Property to decompose the factor 12, we get




Therefore, the area of the rectangular painting is 120 square inches.