Answer:
1) Given
2) Definition of Midpoint
4) Substitution PoE
5) 4x=16
6) Divison PoE
Step-by-step explanation:
1) is given because it is given.
2) Should be definition of midpoint because a midpoint bisects a line, meaning both sides are congruent.
4) is substitution because, like aforementioned, AC=6x and CD=2x+16, so substitute those numbers in the equation.
5) is 4x=16 because that's what happens when you subtract 6x-2x.
6) should be division PoE because to isolate x you need to divide by 4.
Answer:
Step-by-step explanation:
He has 5.56 cents left for his change. The rod costed however including the tax $44.22.
Answer:
The answer is 148,176
Step-by-step explanation:
Gina must divide a fraction by a whole number.
The amount of nuts in each bag will be less than 7/8 because 7/8 is divided by 4.
Gina will be able to put 7/32 pounds of nuts in each bag.
Answer:
A.-
D.
E.
Step-by-step explanation:
Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is 
, the like terms will be those that contain , regardless of whether their coefficient or sign is different.
Analyzing the options:
A.-
We have the same variable and the same exponent , so it is a like term.
B. 
You have the same variable x but not the same exponent. So it's not a like term of
C.
Same variable 
but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.
D.
In this option we do have the , so it is a like term of
E.
It is also a like term because it contains the .
In summary the like terms are:
A.-
D.
E.
