When proving that all three angles of Triangle ABC add up to 180 degrees. The flow chart is missing a reason underneath Substitution. The numbered blank space answer would be supplementary angles because they equal 180 degrees. See attached diagram for more information. The possible answers are:
Definition of Supplementary Angles (CORRECT)
Substitution (incorrect)
Definition of Complementary Angles (equal 90 degrees so Incorrect)
Angle Addition Postulate (incorrect)
Answer:
The answer is (-5,2)
Step-by-step explanation:
So we have 2 equations and we need to solve them by substitution.
1) y = 4x + 22
2) 4x – 6y = –32
Since we already have y isolated in equation #1, we'll use that value in equation #2:
4x - 6(4x + 22) = -32
4x - 24x - 132 = -32
-20x = 100
x = -5
Then we put that value of x in the first equation:
y = 4 (-5) + 22 = -20 + 22 = 2
The answer is then (-5,2)
Answer: y = ±
Step-by-step explanation:
Just believe it, it's the right one. I don't know how to explain it.
Answer:
zero product property of multiplication
Step-by-step explanation:
step 2 is valid, because for the main expression in step 1 to be true, only one of the 2 factors need to be 0, as
0 × something is always 0.
therefore, it is sufficient to find the values of x that renders the expression of one factor to 0.