angle 1+ angle 2=180 supplementary angles add up to 180
angle 2=x assign angle a variable
angle 1= 3x-38 find equation for first angle
3x+x-38=180 set both angles added together equal to 180
4x-38=180 combine like terms
4x=218 add 38 to both sides
x=54.5 divide by 4
angle 2= 54.5
angle 2= (3x54.5)-38 plug back in and solve
angle 1= 125.5
Answer:
0.2364
Step-by-step explanation:
We will take
Lyme = L
HGE = H
P(L) = 16% = 0.16
P(H) = 10% = 0.10
P(L ∩ H) = 0.10 x p(L U H)
Using the addition theorem
P(L U H) = p(L) + P(H) - P(L ∩ H)
P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)
P(L U H) = 0.26 - 0.10p(L u H)
We collect like terms
P(L U H) + 0.10P(L U H) = 0.26
This can be rewritten as:
P(L U H)[1 +0.1] = 0.26
Then we have,
1.1p(L U H) = 0.26
We divide through by 1.1
P(L U H) = 0.26/1.1
= 0.2364
Therefore
P(L ∩ H) = 0.10 x 0.2364
The probability of tick also carrying lyme disease
P(L|H) = p(L ∩ H)/P(H)
= 0.1x0.2364/0.1
= 0.2364
To the nearest whole number would be 7
We want to solve
y'' + 3y' = 0
Solve the indicial equation.
m² + 3m = 0
m(m + 3) = 0
m = 0 or m = -3
The basic solutions are e⁰=1 and
.
Answer:
The general solution is
