Answer:
38 units.
Step-by-step explanation:
4x + 6 =
{midpoint theorem}
4x + 6 = 
4x + 6 = 2x + 22
4x -2x + 6 = 22
2x + 6 = 22
2x = 22 -6
2x = 16
x = 16/2
x = 8
Length of midsegment = 4x + 6 = 4*8 + 6
= 32 + 6
= 38
Answer:
The solution is 
Step-by-step explanation:
The equation

can be rewritten as

and can be further simplified to
.
Now, taking the inverse sine of both sides we get:


The value of the right side on the interval
is
,
which makes the equation (2)

solving for
gives

which is our solution.
I think the answer is b i've never learned this sorry :(
Answer:
B. 93%
Step-by-step explanation:
Find the z-score:
z = (x − μ) / σ
z = (122 − 100) / 15
z = 1.47
Find the probability using a calculator or z-score table.
P(Z < 1.47) = 0.93
Step-by-step explanation:
By Exterior Angle Theorem,
81° + b = 117°.
=> b = 117° - 81° = 36°.