Order of operations in a simplified version is PEMDAS, which parenthesis, exponents, multiplication/division, addition/subtraction. so in your equation, 180 + (6-2), you start with what's inside the parenthesis to get 180 + 4. then skip MD bc there's no multiplication or division and move to AS. there is addition, so do addition. so your answer would be 184. however, the associative property is applicable here, so using PEMDAS is not required.
Refer to the given figure.
Statements Reasons
1. B is the midpoint of AC Given
2.
Definition of midpoint
3.
Given
4.
<u> Transitive property of congruence</u>
The reason for statement 4 is " transitive property of congruence" which states that " If two segments (or angles) are each congruent to a third segment (or angle), then they're congruent to each other".
Answer: Sergio's expression is incorrect because he can not simplify 3-6x and Leon's expression is incorrect because he did not multiply 3 by -1.
Step-by-step explanation:
Here, given expression, 9 - (3 - 6x)
After simplifying this we get the following steps,
Step 1) 9 - (3 - 6x) = 9 - 3 +6x ( by removing parenthesis ) -----(1)
Step 2) 9 - (3 - 6x) = 6 + 6x
Step 3) 9 - (3 - 6x) = 6(1 + x) ( because 6 is common in both term of right side)
Since, when Sergio simplified it he wrote 9−(-3x), which is not matching to the above steps. that, is he is incorrect, because in his explanation he wrote -3x after simplifying 3-6x which can not be solved.
Moreover, the expression of Leon is also not matching to any of the above steps,
Thus he is also incorrect because after removing parenthesis he did not multiply 3 by -1 .