G divides each median in the ratio of 2 to 1 (the longer side goes from G to the angle)
triangle AMN is similar to triangle ABC (why?)
AMN is a scaled version of ABC (by a factor of ⅔)
its area should be scaled by (⅔)^2
Answer:

Step-by-step explanation:
From the question we are told that:
Radius 
Coupler 
Generally the equation for Stroke in a slider-crank Mechanism x is mathematically given by



Those tiny bars crossing those segments mean they are congruent
therefore you have isosceles triangles there
angles opposing congruent sides in isosceles triangles are also congruent
so
the other 2 angles in the 24 degrees triangle are (180-24)/2=78 degrees
now the angle close to the 24 from the 44 degrees triangle is also 78, that means that the third angle in the 44 triangle is 180-44-78=58
also the angle close to y is 58 (because of isosceles)
therefore y = 180-58=122 degrees
Answer:
x=8
Step-by-step explanation:
CBA=DAB=42(Alternate angle)
x+CAB+DAB=180(Straight line)
x+130+42=180
x=180-42-130
x=8
Answer:
an exponential growth function to represent this situation is:

Step-by-step explanation:
We know that the exponential growth function is of the form

where
- x(t) represents the value at time t
- x₀ represents the initial value at time t = 0. In other words, it is the initial value (the amount before measuring growth or decay)
- r represents the growth factor when r > 0 and decay factor when r < 0
- t represents the of time intervals that have passed
In our case,
Given that
A social media website had 100,000 followers its first year. Thus,
The number of followers increased by 9% each year. Thus,
Thus, substituting r = 0.09 and x₀ = 100,000 in the growth function



Therefore, an exponential growth function to represent this situation is:
