The side lengths could be 10, 24 and 26 units.
We must first find the side lengths. We use the distance formula to do this.
For RT:

For ST:

For TR:

Our side lengths, from least to greatest, are 5, 12 and 13.
To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.
If I think I’m understanding it, the new members out of the 200 original would be adding 28% to the mix
Ok, so if the angle is 120 degrees, its one third of the full cake (which is 360 degrees). So the area of the whole circle (worked out with area = pi * r^2 where r is 30) gives 900*pi, and so one third of that (because her slice is one third) is 300pi.
Answer:
The value of mHLK will be "(204)°".
Step-by-step explanation:
The given values are:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
mHLK = ?
Now,
By using chord-chord formula of angle, we get

On putting the values in the above formula, we get
⇒ 
On applying cross-multiplication, we get
⇒ 
⇒ 
On subtracting "18x" from both sides, we get
⇒ 
⇒ 
On adding "2" both sides, we get
⇒ 
⇒ 
⇒ 
⇒ 
On putting the value of "x" in mHLK = (15x-36)°, we get
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
So that mHLK = (204)°
2x-4=x^2-4
-4=x^2-2x-4 (start moving everything to one side)
x^2-2x=0 (the 4 cancel out)
x(x-2)=0 (factor out an x)
x=0 & x=2 (solved for x)
y=2x-4 (pick one of the equations)
y=2(0)-4 (plug in x)
y=-4
(0,-4)
y=2(2)-4 (plug in the second point)
y=0
(2,0)
The greatest possible value of s is 2. (2,0)