7.
Since it is a right triangle we can use Pythagorean Theorem to solve.
A^2+B^2=C^2
We are given C and B. We are solving for A, so we can input what we know.
A^2+24^2=25^2
A^2+576=625
A^2=49
A=7
Therefore, the missing side is equal to 7.
Answer:
Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab, ![[ab]_K](https://tex.z-dn.net/?f=%20%5Bab%5D_K%20)
is equal to ![[ba]_K](https://tex.z-dn.net/?f=%20%5Bba%5D_K%20)
, thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.
Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus, ![[ab]_H = [ba]_H](https://tex.z-dn.net/?f=%20%5Bab%5D_H%20%3D%20%5Bba%5D_H%20)
. Since a and b were generic elements of H, then H/G is abelian.
Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.
Hello there! I can help you! In order to answer those questions, we need to plug in the values, based off of the variable.
g. Okay. We are solving b - 10. b = -8. When you subtract something from a negative number, the number is even lower. Let's add the numbers first and then put in the negative symbol. 8 + 10 is 18. Put the negative sign and you get -18. The difference is -18.
h. Now, we solve a - b. a = 5 and b = -8. Because we are subtracting a negative number from a positive, we have to add both numbers, which means the number gets bigger. Ignore the negative sign and add. 5 + 8 is 13. There. The sum is 13.
i. The problem is c - a. c = -9 and a = 5. So as explained on problem G, for this problem, ignore the negative symbol and add. 9 + 5 is 14. Plug in the negative sign to get -14. There. The difference is -14.
