Answer:
x = 11√2
Step-by-step explanation:
We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):
x * √2 = 22
We can divide by √2 on both sides to get:
x = 22 / √2
To rationalize the denominator, we multiply by √2 / √2 on the right side:
x = 22√2 / 2
This simplifies to:
x = 11√2
Working Principle: Stratified Random Sampling
nx = (Nx/N)*n
where:
nx = sample size for stratum x
Nx = population size for stratum x
N = total population size
n = total sample size
Given:
Nx = 100
N = 1000
n = 0.5*(1000) = 500
Required: Probability of Man to be selected
Solution:
nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men
ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women
Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%
<em>ANSWER: 50%</em>
Well it would be (x+3)(x+3)
using the FOIL method you end up with:
x^2 + 6x + 9
:D
Answer:
Both of these triangles are congruent.
Step-by-step explanation:
All 3 angle measures of both of the triangles are equivalent and correlate to each other. This makes the triangles congruent.
