C. Acute vertically opposite angles
Answer:
x= ±2 sqrt(3)
Step-by-step explanation:
4x^2+11= 59
Subtract 11 from each side
4x^2+11-11= 59-11
4x^2 = 48
Divide by 4
4/4x^2 = 48/4
x^2 = 12
Take the square root of each side
sqrt(x^2) = sqrt(12)
x = ±sqrt(4*3)
x= ±2 sqrt(3)
Find the expected value of each case
<span>1 comes up ---> 1/6 (-10) = -10/6 </span>
<span>3 comes up ---> 1/6 (-30) = -30/6 </span>
<span>5 comes up ---> 1/6 (-50) = -50/6 </span>
<span>2 comes up ---> 1/6 (10) = 10/6 </span>
<span>4 comes up ---> 1/6 (20) = 20/6 </span>
<span>6 comes up ---> 1/6 (30) = 30/6 </span>
<span>sum = 1/6 (-10 -30 -50 +10 +20 +30) = -30/6 = -5 </span>