Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).
Let <em>x</em> be the inverse. Then <em>x</em> is such that
23<em>x</em> ≡ 1 (mod 1000)
Use the Euclidean algorithm to solve for <em>x</em> :
1000 = 43×23 + 11
23 = 2×11 + 1
→ 1 ≡ 23 - 2×11 (mod 1000)
→ 1 ≡ 23 - 2×(1000 - 43×23) (mod 1000)
→ 1 ≡ 23 - 2×1000 + 86×23 (mod 1000)
→ 1 ≡ 87×23 - 2×1000 ≡ 87×23 (mod 1000)
→ 23⁻¹ ≡ 87 (mod 1000)
Answer:
98°
Step-by-step explanation:
180° - 82° = 98°
How much does each bamboo plant cost. This is impossible to solve without knowing the cost. I you have the cost i would be happy to help.
No they wouldn't be the same because, the perimeter is adding all sides.
The square has 4 sides so you would add 9, four times.
9 + 9 + 9 + 9 = 36
And a pentagon has 5 sides so you would add 9, five times.
9 + 9 + 9 + 9 + 9 = 45
So, they are not the same.
Hope this helps. :)
The boat uses 4 gallons to travel 6 miles. Traveling 4 times as far is expected to require 4 times the gas.
4 gallons = 6 miles
Multiply by 4.
16 gallons = 24 miles
⇒ 16 gallons
