Step-by-step explanation:
step 1. this is a trapezoid. the area A = (b1 + b2)h/2 where b1 is the bottom base and b2 is the top base (per se), and h is the height. this formula is the definition of the area of a trapezoid.
step 2. A = (b1 + b2)h/2 = (22 + 9)(5)/2
step 3. A = 31(5)/2 = 155/2 = 77.5in^2.
Step-by-step explanation:
<h2>A^2 + B^2 = C^2 </h2>
A and B are the legs of the triangles.
C is the hypotenuse.
12^2 + x^2 = 20^2
144 + x^2 = 400
-144 -144
x^2 = 256
x = 16
The length of the second leg is 16.
When a triangle is rotated, it must be rotated through a center of rotation.
Assume the coordinate of LMN is



The rule of 180-degree rotation is:

So, we have:



See attachment for the graphs of LMN and L'M'N
<u>(a) Describe the transformation</u>
When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'
<u>(b) Lines LL' and MM'</u>
The distance between point L and the center of origin is the same as the distance between point M' and the center of origin
Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin
<u>(c) Line NN'</u>
Line NN' will assume the same characteristics as lines LL' and MM'
Read more about transformations at:
brainly.com/question/11707700
If you subtract -9-21 and 36-56