Answer:
∠ACB 107°
Step-by-step explanation:
1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.
2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°
3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.
4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°
I apologize if i’m wrong but i’m pretty sure it’s B. 300 square inches
Answer:
- see below for a drawing
- the area of one of the trapezoids is 20 units²
Step-by-step explanation:
No direction or other information about the desired parallelogram is given here, so we drew one arbitrarily. Likewise for the segment cutting it in half. It is convenient to have the bases of the trapezoids be the sides of the parallelogram that are 5 units apart.
The area of one trapezoid is ...
A = (1/2)(b1 +b2)h = (1/2)(3+5)·5 = 20 . . . . square units
The sum of the trapezoid base lengths is necessarily the length of the base of the parallelogram, so the area of the trapezoid is necessarily 1/2 the area of the parallelogram. (The area is necessarily half the area of the parallelogram also because the problem has us divide the parallelogram into two identical parts.)