Answer:
125°
Step-by-step explanation:
A triangle is 180°. You already have 2 angle measures given.
30° + 25° = 55° 180° - 55° = 125°
Angle y is an obtuse angle, an angle measure greater than 90°.
8x + By + 92 = 0
(-4; 12) ⇒ x = -4; y = 12
subtitute
8 · (-4) + 12B + 92 = 0
-32 + 12B + 92 = 0
12B + 60 = 0 |subtract 60 from both sides
12B = -60 |divide both sides by 12
B = -5
2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
The problem statement tells you "7 friends were playing basketball".
_____
It appears 5 friends were only playing basketball, 2 friends were playing basketball and having snacks, and 3 friends were only having snacks. Apparently, 10 friends were doing neither of those activities.
Metric: kilometers
Imperial: Miles