Answer:
A = 153.94 ft^2
Step-by-step explanation:
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:
24 inches represents 9 miles in the map
Step-by-step explanation:
To solve this problem you take into account that 8 inches represents 3 miles and that x represent the number of inches for 9 miles. That is:
8 ------- 3
x ------- 9
This is simply a rule of three, then you calculate:

Hence, 24 inches represents 9 miles in the map
(1,4), (-1,3) 3-4/-1-1=-1/-2. -1/-2= 1/2 so 1/2 would be the slope
Answer:
(-2, 3)
Step-by-step explanation:
5/2(3/4x + 1/3y = -1/2)
1/2x - 5/6y = -7/2
15/8x + 5/6y = -5/4
19/8x = -19/4
x = -2
1/2(-2) - 5/6y = -7/2
-1 -5/6y = -7/2
-5/6y = -5/2
y = 3