Answer:
The given statement is true.
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle.
This statement is true.
The INCENTER is the center of the circle that is inscribed in the triangle. Like the centroid, the incenter is always inside the triangle.
Answer:
B
Step-by-step explanation:
The area between the curves y = d and y = f(x), between the limits x=a and x=b, is:
∫ₐᵇ (d − f(x)) dx
Alternatively, the area between the curves x = f(y) and x = a, between the limits y = c and y = d, is:
∫ᵈ (f(y) − a) dy
Answer A would give you the area between x = f(y) and the y-axis. It needs to include the − a term to be correct.
Answer:
24
Step-by-step explanation:
3x - 14 + 6 - 4 - 2x = 12 => 3x -12 - 2x = 12 => x = 24
Answer:
Because they are supplementary angles, their sum is 180°.
∠b = 180° - 81°
∠b = 99°
Answer:
156 were there on the fourth day.
Step-by-step explanation:
125% of the number she received on the previous day
This means that the previous day number is multiplied the 125%/100% = 1.25.
64 responses the first day
This means that the number of responses after x days is given by:

How many were there on the fourth day?
This is R(4). So

156 were there on the fourth day.