Answer:
{4 + 2√3, 4 - 2√3} thus the solution is A. x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)
Step-by-step explanation:
Solve for x over the real numbers:
(x - 4)^2 = 12
Take the square root of both sides:
x - 4 = 2 sqrt(3) or x - 4 = -2 sqrt(3)
Add 4 to both sides:
x = 4 + 2 sqrt(3) or x - 4 = -2 sqrt(3)
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)
19: He multiplied instead of dividing which will make a totally incorrect answer
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°