Answer:
C. 
Step-by-step explanation:
Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so
Angle 6 and angle with measure 
are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then
Answer:
#adult tickets sold = 346
#student tickets sold = 812
Step-by-step explanation:
let 'x' = # adult tickets sold
let 'y' = # students tickets sold
System of Equations:
x + y = 1158
5x + y = 2542
I used the elimination method and multiplied the first equation by -1
-x - y = -1158
+<u> 5x + y = 2542</u>
4x = 1384
x = 346
346 + y = 1158
y = 812
let x =the number
Step-by-step explanation:
81+x=3x-39
group like terms
81+39=3x-x
120=2x
120/2=2x/2
60=x
therefore x =60
Answer:
slope: 5/7
0.714 mile per hour
Step-by-step explanation:
slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)
Mile per hour: 5/7 cross multiply with x/1, make into an equation:
7x=5 x 1
7x = 5
x = 0.714
Answer:
Lane sold 34 homes.
Nanda sold 102 homes.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
Nanda sold x homes
Lane sold y homes
Over the past 6 months they sold 136 homes.
This means that 
Nanda sold 3 times as many homes as Lane.
This means that 
Replacing in the first equation:
Lane sold 34 homes.
Nanda sold 102 homes.
