The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
Answer:
a: 130
b: 130
c: 50
Step-by-step explanation:
a straight line has an angle of 180, so those two angles are going to add up to 180. and opposite angles are equivalent
Answer:-25
Step-by-step explanation:
simplify
Answer:
y = 1/2x + 5
Step-by-step explanation:
Given :
Slope, m = 1/2
(x1, y1) = (6, 8)
y - y1 = m(x - x1)
y - 8 = 1/2(x - 6)
y - 8 = 1/2x - 3
y - 8 + 8 = 1/2x - 3 + 8
y = 1/2x + 5
Stamdard form of equation :
y = mx + c
Hence, equation is :
y = 1/2x + 5
Answer:
Step-by-step explanation:
A plan to only spend x amount of money while shopping
