Answer:
Step-by-step explanation:
Midpoint Formula: 
Simply plug in your coordinates into the midpoint formula to find midpoint:
R(-2, 3)
S(-8, -2)
1) The triangles are similar, so correponding sides have the same ratio.
.. 3x/20 = (4x +2)/28
.. 3x/5 = (4x +2)/7 . . . . . . . multiply by 4
.. 7*3x = 5(4x +2) . . . . . . . multiply by 35 = 5*7
.. 21x = 20x +10 . . . . . . . . eliminate parentheses
.. x = 10 . . . . . . . . . . . . . . . subtract 20x
2) The triangles are similar, so corresponding measures have the same ratio.
.. x/42 = 10/15
.. x = 42*(10/15) = 28
3) The third angle of triangle ABC is 180° -20° -80° = 80°. Then two of the angles of ABC match those of JKL. The 3rd answer selection is appropriate.
Answer:
$7.25
Step-by-step explanation:
Total amount spent on the ticket = $40.75
Number of ticket purchased = 5
Processing fee per ticket = $0.90
Unknown:
Cost of each ticket = ?
Solution:
To solve this problem, we need to find the processing fee for the 5 tickets purchase;
Processing fee = number ticket x processing fee per ticket
Processing fee = 5 x 0.9 = $4.5
Now, the real cost a ticket = $40.75 - $4.5 = $36.25
So, cost per ticket is;
Cost = 
= $7.25
Answer:
The solution to the system of equation is (0 , -2 , 1).
Step-by-step explanation:
You can check the solutions of the equations by putting the values of x, y, and z one by one.
Answer:
x=-2, y=-4. (-2, -4).
Step-by-step explanation:
2x-y=0
y=x-2
------------
2x-(x-2)=0
2x-x+2=0
x+2=0
x=0-2
x=-2
y=-2-2=-4
