24 feet long
8*6=48
48/2=24
so...
your answer is 24 feet long
Hope this helps
P.S. can you mark this a brainliest answer plz
First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.
We have
130 = 2 • 5 • 13
231 = 3 • 7 • 11
so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.
To verify the claim, we try to solve the system of congruences
Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:
130 = 7 • 17 + 11
17 = 1 • 11 + 6
11 = 1 • 6 + 5
6 = 1 • 5 + 1
⇒ 1 = 23 • 17 - 3 • 130
Then
23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)
so that x = 23.
Repeat for 231 and 17:
231 = 13 • 17 + 10
17 = 1 • 10 + 7
10 = 1 • 7 + 3
7 = 2 • 3 + 1
⇒ 1 = 68 • 17 - 5 • 231
Then
68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)
so that y = 68.
Answer:
x=3
Step-by-step explanation:
Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same
Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90
With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.
we can use the equation 15x = 45, since 45 is what the side angle should equal.
now, we just divide 45 by 15, and we should get 3
so x = 3!
I hope this helps :)
The answer is Fourth degree binomial.
The exponent is 4 (fourth degree) and it has two terms (binomial).
Answer:
x = 10
Step-by-step explanation:
Two less than three times a number is 28
Let's break it up.
2 less than: -2
3 times a number: 3x (x is representing a number")
is 28: = 28
So, let's put that together.
Two less than three times a number is 28
3x - 2 = 28
Now, let's solve this.
First, let's isolate the x.
To do this, we must add 2 to each side.
3x - 2 = 28
+2 +2
3x - 2 + 2 = 3x
28 + 2 = 30
We have 3x = 30
Now, we must simplify.
To do this, we must divide each side by 3.
This, in term, will tell us what x equals.
3x = 30
--- ----
3 3
3x/3 = x
30/3 = 10
x = 10
