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.
This is true
Think of two houses. If we say "the houses are identical" then the corresponding pieces must be the same (eg: the doors must be the same type out of the same material). In this analogy, the houses are the triangles, which are the overall structures. The doors are the angles since they are pieces of the overall structures. This is what CPCTC is saying
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
Once again, the final answer is true.
8.75 x 10 = 87.50, easiest way to figure out is divide each amount by each answer choice
Answer:
3
Step-by-step explanation:
-2=0+x
x¹=-2 (purple one)
4=2x-2
2x=6
x²=3 (green one)
For option d:
5x - 7y = 10 . . . . . (1)
10x - 14y = 8 . . . . (2)
(1) x 2 => 10x - 14y = 20 . . . . . (3)
(2) - (3) => 0 = -14 [not possible]
Therefore, the set of equations in option d, has no solutions.
