We see that the second definition is not a good definition. We want both parts to have the same truth value, but we see that we can have two angles created by a ray that are not equal. That means the antecedent is false but the consequence is true, which means it's not an iff statement, and a bad definition in this context.
The answer is 8/5 which also matches quizlet
11.
-8y=24
We want to isolate y to get the value of 1y. Divide both sides by -8
y= -3
Final answer: y=-3
12.
This is the associative property of addition (D).
It states that when adding three terms, the sum is equal no matter the grouping (parentheses).
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
Answer:
B
Step-by-step explanation:
-(-a)/b = a/b
Option A is not equal to a/b
But Option B is, after cancelling out the negative sign