There's an app called photomath that would be useful for these kinds of problems!
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:
7 to the 7th power
Step-by-step explanation:
To get your answer you add your two exponents together and that becomes your new exponent. Your base number stays the same..
Answer:
y=140°
Step-by-step explanation:
Method 1.
The exterior angle theorem tells us that y=20+120=140
Method 2.
Solve for x first., then use that to solve for y.
The sum of the interior angles of a triangle is 180, so we can get x by doing 180-20-120=40.
y and x make a straight angle which is 180°, so we can get y by doing 180-40=140
