Answer:
AB = 83
Step-by-step explanation:
The mid-point of any segment divides the segment into two equal parts
∵ B is the midpoint of segment AC
→ That means B divides AC into two equal segments AB and BC
∴ AB = BC
∵ AB = 12x + 11
∵ BC = 14x - 1
→ Equate them
∴ 14x - 1 = 12x + 11
→ Subtract 12x from both sides
∵ 14x - 12x - 1 = 12x - 12x + 11
∴ 2x - 1 = 11
→ Add 1 to both sides
∵ 2x - 1 + 1 = 11 + 1
∴ 2x = 12
→ Divide both sides by 2
∵ 
∴ x = 6
→ To find AB substitute x by 6 in its expression
∵ ab = 12x + 11
∵ x = 6
∴ AB = 12(6) + 11
∴ AB = 72 + 11
∴ AB = 83
Answer:
Made a number line for this.
Step-by-step explanation:
Answer:
f(1) = 1
Step-by-step explanation:
To evaluate a function, you see the y value it gives when you plug in the x value.
When you plug in 1 for the x value, the y value is also 1, so f(1) = 1
Answer:

Step-by-step explanation:
For the 72-deg angle, 6 is the adjacent leg. x is the hypotenuse. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.





It would have 5 tails because it was flipped 5 times and had 0 heads