Answer:
C; Substitution property
Step-by-step explanation:
Here, we want to find the justification that justifies the written equation;
If PQ + RS = PS
and RS = XY
then PQ + XY = PS
What we simply did is to substitute RS for XY in the second equation;
The correct answer is Substitution property
It can be fully referred to as the substitution property of equality.
What it simply means in a nut shell is that since XY and RS are equal, then in any addition or arithmetic equation, we can make a substitution of XY for RS since they are equal to each other
Answer:
7
Step-by-step explanation:
4-(-3)=4+3 (negative times negative is positive)
4+3=7
Hope that helps!
I will only be writing the reasons for each and you can respond if you need clarification for anything:
1. given
2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)
3. def rectangle
4. SAS (side angle side congruence theorem)
5. CPCTC (congruent parts of congruent triangles are congruent)
Answer:
5x^2 + 4x + 3.
Step-by-step explanation:
While I'm a little confused on what is closed and open parenthesis/brackets, I think I understand what you mean. In (5x^2+3x-2)+(3x-2x+5), the brackets can simply be removed as there is no multiplication between them. This means we get 5x^2 + 3x - 2 + 3x - 2x + 5. Combining like variables, we get 5x^2 + 4x + 3.