Answer:
55°
Step-by-step explanation:
35°+ 90° + ? =180°
? = 180° - 125°
= 55°
Answer:
62.2x=y
Step-by-step explanation:
cost/ticket (c)
5000c = 311000
c = $62.20
Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)
2.05x^2 - 10x - 20 = 0
x = [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05)
x = 6.40, -1.52 Ignore the negative
Answer is 6.40