Answer:
108 degrees.
Step-by-step explanation:
2x + 16 = 3x - 12 (corresponding angles; AB parallel to CD).
16 + 12 = 3x - 2x
x = 28.
So the angle marked 3x - 12 = 3(28) - 12
= 72 degrees.
Angle y is adjacent to the angle so
y = 180 - 72
= 108 degrees.
Answer:
2 > 1
Step-by-step explanation:
-6 < -3 to -6/-3 > -3/-3 to 2 > 1
When dividing or multiplying by a negative, flip the inequality sign.
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!
So to find out the answer, you need to find out the dimensions of each cube. So for the 1331, it's 11 x 11 x 11. So you know that would be 11 meters high. Now the next cube. Then there's another 1331, so that would be another 11 meters high. Then 729, also 9 x 9 x 9, so that's going to be 9 meters high. Then add all the cube square roots. 11 + 11 + 9 = 31. So the height of the stacked boxes will be 31 meters.
Two visits are from the fire inspector and four visits are from the health inspector in 30 days both inspectors will visit on the same day
