If Utah is angle a and Colorado is angle b and Arizona is angle c and New Mexico is angle d Angle a and d are vertical angles angle b and c are vertical angles
Answer:
x=14.4
Step-by-step explanation:
x=
x=
x=
x=
x=14.4
Answer:
B) 2.25
Step-by-step explanation:
Given:
x = -2
y = 4
z = -5
Work:

Answer:
1.778 times more or 16/9 times more
Step-by-step explanation:
Given:
- Mirror 1: D_1 = 8''
- Mirror 2: D_2 = 6"
Find:
Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?
Solution:
- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:
LGP ∝ A
- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:
A ∝ D^2
- Hence, LGP ∝ D^2
- Now compare the two diameters given:
LGP_1 ∝ (D_1)^2
LGP ∝ (D_2)^2
- Take a ratio of both:
LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2
- Plug in the values:
LGP_1/LGP_2 ∝ (8)^2 / (6)^2
- Compute: LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more
Answer:
C
Step-by-step explanation:
4 1/3 can be separated into 4, and 1/3.
half of 4 is 2.
Half of 1/3 is 1/6.
Add 2 and 1/6, and you get 2 and 1/6. Answer is C