Step-by-step explanation:
from what I can see there are 2 options to make the 2 triangles congruent :
either the opposite sides must be equal or the neighboring sides must be equal.
so, either
5x = 3x + 10
and
5x - 2 = 4x + 3
or
5x = 4x + 3
and
5x - 2 = 3x + 10
for the first
5x = 3x + 10
2x = 10
x = 5
control
5x - 2 = 4w + 3
5×5 - 2 = 4×5 + 3
23 = 23
correct.
for the second
5x = 4x + 3
x = 3
control
5×3 - 2 = 3×3 + 10
15 - 2 = 9 + 10
13 = 19
no, not a valid solution.
so, x = 5
The pattern first of all is divide the number by -5. (12500/ -5 = -2500, and so on) Since we know that, you divide -100 by -5 which gets you 20, then 20 by -5 which gets you -4.
The next two numbers are 20, and -4
Hope this helps!
Answer:
The less the correlation between two variables means the more different their output is.
A.) If Rachel wants to diversify her investment by investing on bonds that do not closely follow the returns on the bond. then she should invest in the stocks with low correlation with bonds. I.e: small cap stocks.
B.) Similarly, due to low correlation, small cap bonds will increase ( comparatively to large cap bonds) as the return on her bonds wil drop and vice versa.
Answer:
30 and 3.4641
Step-by-step explanation:
The mean of a binomial distribution is:
μ = np
And the standard deviation of a binomial distribution is:
σ = √(npq)
Here, n = 50, p = 0.60, and q = 0.40.
μ = np = 50 × 0.60 = 30
σ = √(npq) = √(50 × 0.60 × 0.40) = 3.4641
