You line the segments up in order from the first quad to the second.
The only one that lines up is AG and NP the first option.
Answer: C. No solution. ( top shaded. Middle not. Bottom shaded.
Step-by-step explanation:
Given inequalities
y< -1/3x+5 and
y> -1/3x-1.
If we draw graph for y< -1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.
Now, if we draw graph for second inequality y> -1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater than > symbol there.
Now, we can see that slopes of both dotted lines are same that is -1/3.
So, there would not be any common shaded region.
Therefore, there would not by any solution of the system of inequalities.
And correct option is C option.
C. No solution. ( top shaded. Middle not. Bottom shaded.
The answer is A. because the first part shows the ratio 3:2 and the other 2 shows equivalent ratios.
Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is 
of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore, 
is of the distance from 
to 
, since the latter is the midpoint of the side opposite to . We know this because belongs to 
, so must be 
's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:
Substituting 
into the equation gives us:
Solving for , we get:
(Multiply both sides of the equation by 
to get rid of 's coefficient)
(Simplify)
(Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!
