9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...
4x +4x = 180°
x = 22.5° . . . . . . divide by 8
_____
BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.
-2x^2 + 3x - 9 = 0
The quadratic is not factorable so quadratic formula must be used.
x = (-b + - √(b^2 - 4ac))/2a
a = -2, b = 3, c = -9
x = (-3 + - √(9 - 4*-2*-9))/-4
x = (-3 + - √(-63))/-4
x = -3 + - 3i√7
--------------
-4
x = 3 + 3i√7 x = 3 - 3i√7
------------ ------------
4 4
Answer:

Explanation:
All the other expressions can be factorized. Let's see why:
1) 
This is the sum of the cubes, and this can be factorized as follows:

In this case, a=m and b=1, so we can factorize as

2) 
This is the difference between two cubes, and this can be factorized as follows:

In this case, a=m and b=1, so we can factorize as

3) 
This is the difference between two square numbers, and it can be factorized as follows

In this case, a=m and b=1, so we can factorize as

Answer:
It has 2 i hope it's correct :)