The law of cosines can be written as:

Where
p, a, and b are the sides
P is the angle opposite of side p
Now,
x is what we want to find and other two sides given are 25 and 50 (let them be a and b)
Angle opposite to side unknown is 39 degrees, this is Angle P
Substituting, we get:
Answer:
54 dollars
Step-by-step explanation:
This is the price AFTER the discount
Let x be the price before the discount
-------------------------------------------------------
Price after discount = (price before discount) - (10% of price before discount)
54 = (x) - (10% of x)
54 = x - 0.10x
54 = 0.90x
0.90x = 54
0.90x/0.90 = 54/0.90 Divide both sides by 0.90 to isolate x.
x = 60
So the price before the discount was $60.
Answer:
x = 8
ABD = 46 degrees
DBC = 44 degrees
Step-by-step explanation:
Complementary Angles: two angles who’s sum together is 90 degrees
2x + 30 + 3x + 20 = 90
5x + 50 = 90
5x (+ 50 - 50) = 90 - 50
5x = 40
5x/5 = 40/5
x = 8
2(8) + 30
16 + 30
46
3(8) + 20
24 + 20
44
ABD = 46
DBC = 44
This is what I did in the photo