Answer:
486
Step-by-step explanation:
1,985 + 12,000 + x = 14,471
x = 14471 - 12000 - 1985
x = 486
Answer:



Step-by-step explanation:
Vertical Angles are congruent, so set the two expressions equal to each other:
[x + 30]° = [3x - 18]°
-[3x]° - [3x]°
___________
−18° = 30° - [2x]°
- 30° - 30°
____________
−48° = [−2x]°
____ ___
−2° −2°
[Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]
I am joyous to assist you anytime.
Answer:
about 10.924 inches
Step-by-step explanation:
If all of the dimensions are equal, the box is a cube. Its side length is the cube root of the volume.
V = s³
s = ∛V = ∛1300 ≈ 10.913929 . . . . inches
Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
•
= a₁ 
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁
= 24 → (1)
Given a₈ =
, then
a₁
=
→ (2)
Divide (2) by (1)
=
= 
Hence r =
= 
Substitute this value into (1)
a₁ × (
)³ = 24
a₁ ×
= 24, hence
a₁ = 24 × 27 = 648
Answer
(3, -5)
Step-by-step explanation:
hope it helps :)