This looks like were trying to prove a pair of angles of an isosceles triangle are congruent.
To do that we need the fact that it's an isosceles triangle, which is AB=AC.
That's choice A.
None of the other choices make sense just by symmetry. AD=AC, nope the middle and the side, BD=AD, nope, AB=BD, nope.
choice A.
K so you have to set 2 equations like this
x meaning the amount of adults
and y meaning the amount of kids
x+y=11
13.5x+8.25y=111.75
Then use substitution method and you get
x=11-y from the first equation
plug that in to the second and you get
13.5(11-y)+8.25y=111.75
Solve for y in that equation by distributing and then combining like terms
148.5 - 13.5y + 8.25y = 111.75
148.5 - 5.25y = 111.75
Then, you need to subtract 148.5 from each side and cancel the negatives
5.25y=36.75
solve for y and you get
36.75/5.25 = 7
y=7
7 Children attended the movie.
Hope this heldped!
Answer:
5
Step-by-step explanation:
slope = rise/run = (7-y)/(-5-(-2)) = -2/3
3(7 -y) = -2(-3) . . . . . multiply by 3(-3)
7 -y = 2 . . . . . . . . . . . divide by 3
7 -2 = y = 5 . . . . . . . . add y-2
The value of y is 5.
