1) given
2) definition of an angle bisector
3) reflexive
4)
(ASA)
5)
(CPCTC)
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
Answer:
1) False. 2) True. 3) True. 4) False.
Step-by-step explanation:
1) False. The force of gravity will drive it down. The path will form a parabola.
2) True. There is no variation in the velocity in the horizontal axis and no force applied so the acceleration is zero.
3) True. The travel time depends on the height and the acceleration of gravity, and independent of the velocity of the rocket at launch.
4) False. The travel distance depends on the initial velocity of the rocket (at launch).
Answer:
The dimensions of the vegetable patch is 8 m by 7 m.
Step-by-step explanation:
Area of a vegetable patch is 56 square meters and the perimeter is 30 m.
If l is length and b is breadth, then area and perimeter of a rectangle is given by :


Substituting the values in the above formulas as :

and

We need to solve equation (1) and (2) to find the values of l and b such that :
Equation (2), l = 15 - b
Equation (1) becomes,

If b = 7 m, so, l = 8 m
If b = 8 m, l = 7 m
So, the dimensions of the vegetable patch is 8 m by 7 m.