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.
Answer:
x ≤ 204 crates
Step-by-step explanation:
Greatest weight of the container = 27500 kilograms
Weight of other shipment = 7100 kilograms
Weight of crates = 100 kilogram
x = number of 100 kilogram crates that can be loaded into the shipping container.
The inequality:
27500 ≤ 7100 + 100x
27500 - 7100 ≤ 100x
20,400 ≤ 100x
x ≤ 20,400 / 100
x ≤ 204 crates of 100 kilogram
- (1 + 7x) - 6(- 7 - x) = 36
- 1 - 7x + 42 + 6x = 36
41 - x = 36
- x = - 5
x = 5
Answer: 33.9
Reasoning: This is due to it just being tan(72) x 11 which would give you 33.8545... but using that you would just round it up to get 33.9
Answer:
4
Step-by-step explanation:
It becomes positive and stays positive
