Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
_____
<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
I think it would be the first one? 2 units to the left of g(x).
Answer:
Ted and Fred
Step-by-step explanation:
As per the question,
Ted and Fred are the owners of a gas station that is they are the owner of their own firm.
As being the owner of their own company, they are the one who is responsible for their loss. That is the firm’s owners always suffer the firm’s risk.
Business Risk: Risk that a business will not be able to cover its operating costs.
So in this case, Lawrence is the employee and legally he is not responsible to suffer any kind of the loss.
So he must be paid his salary on time and in full whether or not the firm is running a profit, a loss, or just breaking even.
As being owner Ted and Fred are responsible to withstand the business risk.
Hence, the person who is legally responsible for bearing the $40,000 loss is Ted and Fred.
You can use the distance formula
Sqroot((x2-x1)^2 + (y2-y1)^2)
(2,-1) and (5,3), use given points
Sqroot((5-2)^2 + (3-(-1))^2)
Sqroot((3)^2 + (4^2)
Sqroot(9+16) = squareroot of 25
Squareroot of 25 = 5
Solution: D. 5 units
