The incenter of a triangle is the center of its inscribed circle. <span>Generally, the easiest way to find the incenter is by first determining the </span>inradius and then<span> each side of the triangle can be </span>translated<span> by the length of the inradius, We also can use coordinate geometry through this formula:
</span>

Being

side lengths and with

the vertices.<span>
</span>
Answer:
-0.2
Step-by-step explanation:
Simplifying
5x = 3y + -4
Reorder the terms:
5x = -4 + 3y
Solving
5x = -4 + 3y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x = -0.8 + 0.6y
Simplifying
x = -0.8 + 0.6y
Answer:
20%
Step-by-step explanation:
400/2000=0.2
0.2*100=20
The square root of 16 is 4
4×4=16
4*4=16
<h2>
Answer with explanation:</h2>
Formula for plus-four confidence interval :

, where n= Sample size.
= Sample proportion and 
z* = Critical z-value.
Let p be the proportion of puppies area found with early hip dysplasia.
As per given , we have
n= 42

Since confidence interval is not given , so we assume it as 95% .
z-critical value for 95% confidence is 1.96.
Then, the required confidence interval will become :

Hence, the plus four confidence interval for p = (0.0484, 0.256)
Interpretation: We are 95% sure that the true proportion of puppies area found with early hip dysplasia lies in (0.0484, 0.256).