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:11
Step-by-step explanation:
Boys : girls=7:1
Sum of ratio=7+1=8
Let them number of girls be y
Then they number of boys=y+66
Total number of pupils=y+y+66
Total number of pupils=2y+66
Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)
y=1/8 x (2y+66)
Cross multiply
y x 8=2y + 66
8y=2y + 66
Collect like terms
8y-2y=66
6y=66
Divide both sides by 6
6y/6=66/6
y=11
The number of girls is 11
A purchase is one where you purchase it and sales is one you sell :)
Hope that helped!
7=2x + 15 2x= -8 x= -4
<span>8= 3x 8= 3x+0 3x +-8 3(-4) +-8 -12 - 8 </span>
<span>Final Answer -20</span>
Answer:
The 32 electricians will take 1 day and 3 hours to complete the wiring.
Step-by-step explanation:
Since it takes electricians 36 days to wire a new housing subdivision, to determine how many days would 32 electricians take to do the same job the following calculation must be performed:
36/32 = X
1.125 = X
1 = 24
0.125 = X
0.125 x 24 = X
3 = X
Therefore, the 32 electricians will take 1 day and 3 hours to complete the wiring.
