Assuming we have parallel lines, we can solve for x.
Since a = 3x - 10 (vertically opposite angles are equal),
3x - 10 = 2x + 15 (alternate angles are equal)
x = 25
Hence, angle a = 3(25) - 10 = 65°
Answer:
Fixed expenses = 1767.07
Step-by-step explanation:
Andre calculated his variable and total expenses for last month.
His variable expenses is $2,863.09
His total expenses is $4,630.16
Now, Total expenses = Variable expenses + Fixed expenses
So, Fixed expenses = Total expenses - Variable expenses
⇒ F = T - V
⇒ F = 4630.16 - 2863.09
⇒ F = 1767.07
So, this the equation to represent Andre's fixed income. (Answer)
I might want to use the commutative property to change the order of the integers in the following sum before adding the given expression
"-80 + (-173)+(-20)"
As commutative property states that " Changing the order of addends does not change the sum" which means if we add 'a' to 'b' or 'b' to 'a', we will get the same answer.
Therefore, here if we add '-80' to '-173' or '-173' to '-80' , or if we add '-173' to '-20' or '-20' to '-173' , we will get the same answer.
Therefore, we might use commutative property to change the order the of integers in the following sum.
<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
