Answer:
Number line graph with closed circle on 30 and shading to the right
because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.
THIS ANSWER ISN'T MINE. I TOOK IT FROM AN ANSWER TO THE SAME QUESTION ANOTHER USER POSTED.
a is SSS, c is SAS and d is ASA, all good congruent triangle theorems.
b is AAA, good to show similar triangles, not necessarily congruent triangles.
Answer: b
Add like terms and that should be the simplified versions for the answer:
15r.
We write system of equations:
O = 5*a
P = 15*a
a,b,c =?
------------------
a + b + c = 5a b + c = 4a
a*b/2 = 15a b/2 = 15
Now we calculate b and remaining sides:
b = 30
30 + c = 4a
c^2= 30^2 + a^2
(4a - 30)^2 = 900 + a^2
16a^2 - 240a + 900 = 900 + a^2
15a^2 = 240a
a = 16
that means that c = 4*16-30 = 34