If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:
8x + 4 = 10x - 6
Solving for x:
4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)
So, x = 5, which is the second option given.
Answer:
96
Step-by-step explanation:
Answer: 16 inches
Step-by-step explanation:
The area of a triangle = bh/2
where b = base = unknown
h = height = 5 3/4 inches
Area = 46 inches²
Therefore, 46 = base × 5 3/4 / 2
Cross multiply
46 × 2 = base × 5 3/4
92 = base × 5 3/4
Base = 92 ÷ 5 3/4
Base = 92 ÷ 23/4
Base = 92 × 4/23
Base = 4 × 4
Base = 16 inches
Answer:
a = π n for n element Z
Step-by-step explanation:
Solve for a:
sec(a) + tan(a) = sec(a) - tan(a)
Subtract sec(a) - tan(a) from both sides:
2 tan(a) = 0
Divide both sides by 2:
tan(a) = 0
Take the inverse tangent of both sides:
Answer: a = π n for n element Z
