Answer:
Step-by-step explanation:
Given Parallel lines Converse
a). ∠13 ≅ ∠17 a║c Corresponding angles
b). ∠4 ≅ ∠9 b║e Exterior alternate angles
c). m∠19 + m∠22 = 180° a║b Same side exterior angles
d). ∠8 ≅ ∠19 Vertical angles.
e). ∠10 ≅ ∠23 b║c Alternate angles
f). m∠14 + m∠17 = 180° a║c Same side Interior angles
Answer:
cannot be put into radical form, sorry!
Step-by-step explanation:
Answer:
B. {x| x > 2 or x < -4}
<em></em>
Step-by-step explanation:
Given
![5(x - 2)(x + 4) > 0](https://tex.z-dn.net/?f=5%28x%20-%202%29%28x%20%2B%204%29%20%3E%200)
Required
Solve
![5(x - 2)(x + 4) > 0](https://tex.z-dn.net/?f=5%28x%20-%202%29%28x%20%2B%204%29%20%3E%200)
Start by dividing both sides by 5
![\frac{1}{5} * 5(x - 2)(x + 4) > \frac{0}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%2A%205%28x%20-%202%29%28x%20%2B%204%29%20%3E%20%5Cfrac%7B0%7D%7B5%7D)
![(x - 2)(x + 4) > 0](https://tex.z-dn.net/?f=%28x%20-%202%29%28x%20%2B%204%29%20%3E%200)
Find critical point of the inequality by changing the inequality to equality
![(x - 2)(x + 4) = 0](https://tex.z-dn.net/?f=%28x%20-%202%29%28x%20%2B%204%29%20%3D%200)
Split the above expression
![x - 2= 0\ or\ x + 4= 0](https://tex.z-dn.net/?f=x%20-%202%3D%200%5C%20or%5C%20x%20%2B%204%3D%200)
Make x the subject of formula in both
![x - 2+2= 0+2\ or\ x + 4-4= 0-4](https://tex.z-dn.net/?f=x%20-%202%2B2%3D%200%2B2%5C%20or%5C%20x%20%2B%204-4%3D%200-4)
![x = 0+2\ or\ x = 0-4](https://tex.z-dn.net/?f=x%20%3D%200%2B2%5C%20or%5C%20x%20%3D%200-4)
![x = 2\ or\ x = -4](https://tex.z-dn.net/?f=x%20%3D%202%5C%20or%5C%20x%20%3D%20-4)
Check the intervals in between the critical points
Set:
--- This works in the inequality
Set:
--- This doesn't work in the inequality
Set:
--- This doesn't works in the inequality
Set:
--- This works in the inequality
<em>Hence, the solution is: {x| x > 2 or x < -4}</em>