Answer:
x < 15
Step-by-step explanation:
Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".
On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:
-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24
On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:
-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30
Now put these back in:
-6(x + 4) + 9 > -5(x + 6)
-6x - 24 + 9 > -5x - 30
-6x - 15 > -5x - 30
x < 15
Thus the answer is x < 15.
Hope this helps!
Answer:

Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for
:

Answer:
In year 2039 both the events will happen again.
Step-by-step explanation:
We are given the following in the question:
Family reunion:
Every 7 year
Update the family tree:
Every 6 years
1997 was the year when they had a family reunion as well as they updated their family tree.
We have to find the year in which both the events will occur together.
We find the lowest common multiple of 7 and 6.

Thus, after 42 years both the event will happen again.
Year:

Thus, in year 2039 both the events will happen again.