Answer:
C
Step-by-step explanation:
ABCD is a rectangle so BC = AD
Answer:
![g = \sqrt{\frac{S}{3kr^{-5}}}](https://tex.z-dn.net/?f=g%20%3D%20%5Csqrt%7B%5Cfrac%7BS%7D%7B3kr%5E%7B-5%7D%7D%7D)
Step-by-step explanation:
Given
![S=gr^{-5}gk*3](https://tex.z-dn.net/?f=S%3Dgr%5E%7B-5%7Dgk%2A3)
Required
Solve for g
![S=gr^{-5}gk*3](https://tex.z-dn.net/?f=S%3Dgr%5E%7B-5%7Dgk%2A3)
Split into different entities
![S=g * r^{-5}*g*k*3](https://tex.z-dn.net/?f=S%3Dg%20%2A%20r%5E%7B-5%7D%2Ag%2Ak%2A3)
Reorder in terms of like terms
![S=g*g * r^{-5}*k*3](https://tex.z-dn.net/?f=S%3Dg%2Ag%20%2A%20r%5E%7B-5%7D%2Ak%2A3)
![S=g^2 * r^{-5}*k*3](https://tex.z-dn.net/?f=S%3Dg%5E2%20%2A%20r%5E%7B-5%7D%2Ak%2A3)
![S=g^2 * 3kr^{-5}](https://tex.z-dn.net/?f=S%3Dg%5E2%20%2A%203kr%5E%7B-5%7D)
Solve for ![g^2](https://tex.z-dn.net/?f=g%5E2)
![g^2 = \frac{S}{3kr^{-5}}](https://tex.z-dn.net/?f=g%5E2%20%3D%20%5Cfrac%7BS%7D%7B3kr%5E%7B-5%7D%7D)
Take square root of both sides
![g = \sqrt{\frac{S}{3kr^{-5}}}](https://tex.z-dn.net/?f=g%20%3D%20%5Csqrt%7B%5Cfrac%7BS%7D%7B3kr%5E%7B-5%7D%7D%7D)
Answer:
<1 and <6 = 98
<2 and <3 = 139
<4 and <5 = 123
Step-by-step explanation:
82 + 9x - 6 + 6x - 1 = 180
15x + 75 = 180
15x = 105
x = 7
<1:
x + 82 = 180
x = 98
<2:
6x - 1 = 6(7) - 1 = 41
x + 41 = 180
x = 139
<3 = <2 because of vertical angle thm so <3 = 139
<5:
9x - 6 = 9(7) - 6 = 57
x + 57 = 180
x = 123
<4 = 5 because of vertical angle thm
<6 = <1 because of vertical angle thm
Answer:
Step-by-step explanation:
Transversal or Corresponding angles
x=5