We're given LM = NO which will be used in substitution later.
By the segment addition postulate, we can write
LN = LM+MN
which basically says "glue LM and MN together to get LN". All three segments fall on the same line.
Now substitute or replace LM with NO. This works because LM = NO is given
So we go from this
LN = LM+MN
to this
LN = NO+MN
Rearrange terms to go from
LN = NO+MN
to
LN = MN+NO
The formal property used is the "Commutative Property of Addition"
Now notice on the right hand side we can combine MN and NO to get MO. Again this is using the segment addition postulate.
So the last step is going from
LN = MN+NO
to
LN = MO
Have a look at the attached image to see how to format this proof into a two-column proof.
Answer:
4y + 5x + 13
Step-by-step explanation:
4y + 3(y + 1) + 2(x+5)
Distribute
4y + 3y + (3 x 1) + 2x + (2 x 5)
4y + 3y + 3 + 2x + 10
Combine like terms
4y + 5x + 13
Answer:
Area of the circle = 
Step-by-step explanation:
Radius of the circle= 3 cm
Area of the circle=
As,

Putting the values in the formula:
Area of the circle= 

The area of the circle is 
Following changes are made in graph of G(x) to obtain F(x)
1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)
2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)
3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2
Thus,
F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2
Therefore, option C is the correct answer
Answer: Change the number: 36
To:48
Step-by-step explanation:
12x2 is 24 but 24 x 2 isn’t 36