The base is 315. Perimeter of base is 72.
Their common desire to destroy the ambitions of Prussia and Great Britain and to secure a definitive peace between their respective countries led them to seal their alliance with a marriage
Answer:
k = 6
Step-by-step explanation:
Using synthetic division, we find the remainder from the division to be ...
remainder = 4k+2
Then we need to find k such that ...
4k +2 = 26
4k = 24 . . . . subtract 2
k = 6 . . . . . . divide by 4
The value of k is 6.
1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.