Answer:
<1 + <2 = 180
Step-by-step explanation:
Looking at the diagram
<1+<2 forms a straight line so they add to 180 degrees
<1 + <2 = 180
45mph times x hours one way
30mph times y hours back
x+y=3 hours 15 minutes
45mph(x)=z miles
30mph(y)=smiles
so

and substituting we know 15 minutes is 1/4 an hour so we have

so 1.95 is how long they were going 30mph
1.95hours time 30mph is 58.5 miles.
so that is the distance. check by putting in y and solving for x. multiply x by 45 and you should get the same distance
B. 18m(2n-3)
18m(2n-3)
= 18m(2n) - 3(18m)
= 36mn -54m
I just aswerd these
1. solve for x in first to just find nterms of y
x=12-y
sub that for x in other one
first divide that one by 2 to make it easier
2x-y=18
2(12-y)-y=18
24-2y-y=18
24-3y=18
minus 24 both sides
-3y=-6
divide -3
y=2
D is answer
2.
find intersection of x+y=5 and -2x+3y=6
or easiers, just test the intersections
wait, they all intersect in the same place
this is super easy
pick ANY point that is in that reigon and see if it is true
A, if we pick lets say (5,5)
that is false for x+y<5
not A
B
pick (10,0)
false for first one
not B
C
pick (0,0)
true for first
false for 2nd
not C
D. pick (-10,0)
true for first
true for 2nd
answer is D
8.
time times object=time taken
35 for wall
frame or door=21
the first equation has to be in terms of minutes
2nd has to be in terms of loads
first one is
35w+21d=595
2nd is
9w+13d=267
D is answer
9.
find intersection
at p=3 and w=12
D is answer
the answer is D for all the questions