Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: 
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: 
Therefore, the third angle must have a measure of 62°.
Step-by-step explanation:
Let p and h represent pay and hours worked respectively,
p = kh
k = p/h = 148.5/18 = 8.25
p= 8.25h
90.75 = 8.25h
h = 11 hours.
Hope it helps! :)
Answer:
v = 1/(1+i)
PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493
PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748
PV(G)/PV(T) = 2748/493
{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493
3[1-v^(2n)]/(1-v^n) = 2748/493
Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)
3(1 + v^n) = 2748/493
1 + v^n = 2748/1479
v^n = 1269/1479 ~ 0.858
Step-by-step explanation: