Step-by-step explanation:
1) Ans 3
2) Ans 6
3) Ans 4
4) Ans 1/5
5) Ans 1/23
I believed there is a typo error in the choices. Below I assume that the correct choices:
<span>A. 9 (3+4)
</span>B. 9 (4+5)
C. 7(4+5)
D. 7(3+6)
The answer is letter A which is 9 (3+4) the greatest common denominator of 27 and 36 is 9. The factor of 27 is 9 and 3 while for 36 is 9 and 4. To check the answer you need to solve 9 (3+4) which is 63 while 27 + 36 is also 63.
We first calculate the front and back which are 2 congruent(equal) triangles. The 2 areas together is...
9*6/2*2=54
Now we want to calculate the 2 rectangles at the top right and top left of the shape they are also congruent(equal). The 2 areas together is...
7*5*2=70
The last part is the rectangle on the bottom with area...
9*5=45
Now we just need to add them all together...
54+70+45=124+45=169
I hope this helped you, if you have any questions about this solution just ask me in the comments :)
Solving for the midpoint can be done by looking for the average of each of the given x-coordinates and y-coordinates. The 2 obtained averages are the new x-coordinate and y-coordinate. This shown below:
Midpoint = ( (-2 + 4)/2 , (5 + -9)/2 )
Midpoint = (1,-2)
Therefore, the new midpoint is (1,-2)
