Answer:
43 Degrees
Step-by-step explanation:
In a instance like this one, opposite sides have the same angle measurement.
Answer:
A
Step-by-step explanation:
The equations are ...
... s + p = 15
... 3s + 10p = 94
Matrix equation A is equivalent.
Answer:
S 75°E
S 55°E
Step-by-step explanation:
Take the law if sines of a triangle:
Where,
a = 28 miles
B = 25°
b = 12 miles
First solve for A, using the law of sines:


Cross multiply:



Since A = 80.44° find A supplement, A`:
A` = 180 - 80.44
A` = 99.56°
If A` + B < 180°, find C.
Thus,
A` + B = 99.56 + 25 = 124.56
We can see that A` + B < 180
Find C:
C = 180 - (80.44+25) = 74.56° ≈ 75°
C` = 180 - (99.56+25) = 55.44° ≈ 55°
Rewrite in bearing form:
S 75°E
S 55°E
Answer:
The measure of angle A is 
Step-by-step explanation:
we know that
Applying the law of cosines

substitute the values and solve for cos(A)

![cos(A)=[22^{2}+18^{2}-31^{2}]/(2(22)(18))\\ \\cos(A)=-0.193182\\ \\A=arccos(-0.193182)=101\°](https://tex.z-dn.net/?f=cos%28A%29%3D%5B22%5E%7B2%7D%2B18%5E%7B2%7D-31%5E%7B2%7D%5D%2F%282%2822%29%2818%29%29%5C%5C%20%5C%5Ccos%28A%29%3D-0.193182%5C%5C%20%5C%5CA%3Darccos%28-0.193182%29%3D101%5C%C2%B0)
Answer:
x = 13/3
Step-by-step explanation:
4(8x-3) - 30x = 5(x-5)
Distribute
32x - 12 - 30x = 5x -25
Combine like terms
2x -12 = 5x-25
Subtract 2x from each side
2x-12-2x = 5x-2x -25
-12 = 3x-25
Add 25 to each side
-12+25 = 3x-25+25
13 = 3x
Divide each side by 3
13/3 = x