Each triangle has a sum of angles that equal 180° so set each angle measure = 180
(x + 66) + (x + 86) + 50 = 180; add accordingly
2x + 202 = 180; subtract 202 from both sides
2x = -22; divide both sides by 2
x = -11
Plug in -11 for x to check
(-11 + 66) + (-11 + 86) + 50 = 180
55 + 75 + 50 = 180
180 = 180 so -11 is the correct value of x
I think the third option is correct.
Depending on what type of triangle it is, for a right triangle you would use sin inverse=(opposite/hypotenuse), cos inverse=(adjacent/hypotenuse), or tan inverse=(opposite/adjacent). For any other triangle you would refer to the Law of sines where side a/sine of angle A=side b/sine of angle B and same goes for C
Selection C is appropriate.
_____
A. The population is constant at 8.
B. The population is constant at 24.
C. Matches the problem description.
D. The initial population is 24 and after 1 hour is 72.
Answer:
y = 3x - 2
Step-by-step explanation:
The equation is linear and expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given (0, - 2 ) then c = - 2
Calculate the multiplier using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table
m = 
= 3, hence
y = 3x - 2 ← equation relating x and y
