The properties of a parallelogram that lead to the conclusion that a square is a type of parallelogram are 2nd, 3rd and 4th options.
Answer: True.
Step-by-step explanation:
- An indirect proof is a proof where we temporarily assume that what we are trying to prove is false.
- The word negation means the contradiction or denial of something.
There are some steps for indirect proof:-
1) Observe the given information and what we need to prove.
2) Then negate the statement you must prove and assume its negation is true.
3) Then we use direct reasoning to show the assumption is false.
4) At last conclude that since the assumption was false, then the original conclusion must be true.
c. must be renewed periodically
hope this helps!!
Answer:
One rose bush costs $6
One pot of ivy costs $5
Step-by-step explanation:
Set up an equation:
Variable x = cost of rose bushes
Variable y = cost of pots of ivy
3x + 3y = 33
12x + 4y = 92
I will use substitution to first solve for x:
3y = 33 - 3x
Divide both sides by 3
y = 11 - x
Substitute y value for 11 - x:
12x + 4(11 - x) = 92
Use distributive property
12x + 44 - 4x = 92
Combine like terms
8x + 44 = 92
8x = 48
Divide both sides by 8
x = 6
Solve for y by plugging in 6 for the x value:
3(6) + 3y = 33
18 + 3y = 33
3y = 15
Divide both sides by 3
y = 5
Check work:
3(6) + 3(5) = 33
18 + 15 = 33
33 = 33
Correct
Answer:
Using their equation and the fact that the ball will fall 3 ft before reaching the ground:
3 = 16 t^2 + 50 t + 3 represents the given situation
16 t^2 + 50 t = t (16 t + 50) = 0
16 t + 50 = 0
t = 50 / 16 = 3.12 sec