Answer:
GK=JK
Step-by-step explanation:
SSS congruency is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.
For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.
The options are:
<G=<J
<H=<H
GK=JK
the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS
GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.
Hope this helps!
Answer:
c =4200+275s
Step-by-step explanation:
C is the total cost
4200 is how much to rent the trucks
275 is the price for each ton
s is how many tons of stone in being transported
Well, it depends, there may be multiple common factors, if it's the greatest common factor, then there is only one. The way to do this is to list all the factors of each number.
So Factors of
18: 1,2,3,6,9,18
27: 1,3,9,27
Common Factors : 1, 3, 9
Greatest Common Factor: 9
Answer:
2x^2-4x-16
Step-by-step explanation:
Answer:
LAST OPTION: ![x^9](https://tex.z-dn.net/?f=x%5E9)
Step-by-step explanation:
For this exercise it is important to remember the Power of a power property, which states that:
![(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
The expression given in the exercise is:
![(x^\frac{3}{2})^6](https://tex.z-dn.net/?f=%28x%5E%5Cfrac%7B3%7D%7B2%7D%29%5E6)
Therefore, in order to simplify it, you must apply the Power of a power property explained before.
Then, you get the following expression:
![=x^{(\frac{3}{2}*6)}=x^{(\frac{3*6}{2})}=x^{\frac{18}{2}}=x^9](https://tex.z-dn.net/?f=%3Dx%5E%7B%28%5Cfrac%7B3%7D%7B2%7D%2A6%29%7D%3Dx%5E%7B%28%5Cfrac%7B3%2A6%7D%7B2%7D%29%7D%3Dx%5E%7B%5Cfrac%7B18%7D%7B2%7D%7D%3Dx%5E9)
As you can notice, the expression obtained matches with the expression provided in the last option.