Answer:
Step-by-step explanation:
Split the polygon into 3 triangles as pictured below
<u>They have base and height:</u>
- 4 and 3, 1 and 1, 3 and 1
<u>Find the area of 3 triangles and add up:</u>
- A = 1/2*4*3 + 1/2*1*1 + 1/2*1*3 = 6 + 1/2 + 3/2 = 8 square units
Answer:
8
Step-by-step explanation:

Answer:
The other endpoint would be (-13, -11)
Step-by-step explanation:
In order to find the coordinates of an end point, we need to note that the midpoint would be the average of the two values. We'll call the unknown point P and we'll start by looking at the x values only.
(1 + Px)/2 = -6 ----> multiply by 2
1 + Px = -12 -----> subtract 1
Px = -13
Now we can do the same with the y values.
(7 + Py)/2 = -2 ----> multiply by 2
7 + Py = -4 ------> subtract 7
Py = -11
Answer:
Only
is a perfect cube.
Step-by-step explanation:
is not a perfect cube because 8 is not a multiple of 3.
Now,
is a perfect cube since 24 is a multiple of 3.
So,
can be expressed as
Again,
is not a perfect cube as 28 is not a multiple of 3.
And also
is not a perfect cube as 64 is not a multiple of 3.
Therefore, only
is a perfect cube. (Answer)
Answer:
x = 7
Step-by-step explanation:
Since BD is the angle bisector of ∠ABC, then
∠ABD = ∠CBD, that is
2x + y = 14 + y ( subtract y from both sides )
2x = 14 ( divide both sides by 2 )
x = 7