The law of detachment<span> allows you to "detach" the hypothesis from the conclusion. If we know both that </span>p<span> and </span>p<span> → </span>q<span> to be true, then we may conclude that </span>q<span> is true.
So the answers is the fourth one: I</span>f p <span>→</span><span> q is a true statement and p is true, then q is true.</span>
b = number of tickets sold before
a = number of tickets sold after
cost of a ticket = number of tickets times cost per ticket
before cost = 39.95b
after cost = 54.95a
total cost = 925000
39.95b + 54.95a = 925000
total number tickets = 20000
b + a = 20000
we have
39.95b + 54.95a = 925000
b + a = 20000
multiply second equation by -39.95 and add to first equation
39.95b + 54.95a = 925000
-39.95b-39.95a = -799000 +
0b+15a = 126000
15a = 126000
divide bot sides by 15
a = 8400
sub back
b + a = 20000
b+8400 = 20000
minus 8400 both sides
b = 11600
11,600 tickets sold before
8400 tickets sold after
The total cost of the camera is $268.26
A down payment of $12 was paid so he now owes $256.26
Every 6 months Emil has to pay:
256.26 / 6 = 42.71
Therefore, each moth, Emil has to pay $42.71
As stated by the statement, isometric means same measure. So, when a rigid transformation occurs all the measures of the original figure (which will be transformed) will be the same of the new figure (the result of the transformation).
That means that you can verify that the transformation used was rigid by checking the measures of both (original and transformed) figures: if and only if the meausures of the final figure are the same of the original figure the transformation was rigid.
