Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c = 180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).
Answer:
The third side is around 58.043
Step-by-step explanation:
Use the law of cosines: ![c^2=a^2+b^2-2abcos(C)](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2-2abcos%28C%29)
Plug in the two sides we know (into a and b) and the angle we know (into angle C).
Thus:
Use a calculator:
![c^2=3369\\](https://tex.z-dn.net/?f=c%5E2%3D3369%5C%5C)
![c=58.043087...](https://tex.z-dn.net/?f=c%3D58.043087...)
(Note: Make sure you're in Degrees mode.)
Direction: Isolate the variable by dividing each side by factors that don't contain the variable.
Here are the answers for all 15 questions:
1) x < - 2
2) x < 4
3) x > - 15/7
4) y < 28/5
5) x > 6
6) y > - 10/9
7) 0 < 333
8) x > 2
9) x > - 10
10) y > - 3
11) y > - 4
12) x > 3
13) x < 9/8
14) x > - 2
15) h < 7/2
Answer:
43.20 for the total cost of the item