From the information provided, M is the midpoint of line segment AB. This implies that the segments AM and MB are two equal halves of the entire length,
Therefore, we would have the following;
![\begin{gathered} AM+MB=AB \\ \text{Also,} \\ AM=MB \\ \text{Where;} \\ AM=3x+12,MB=5x-4 \\ We\text{ now have;} \\ 3x+12=5x-4 \\ \text{Collect all like terms;} \\ 12+4=5x-3x \\ 16=2x \\ \text{Divide both sides by 2;} \\ \frac{16}{2}=\frac{2x}{2} \\ 8=x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AM%2BMB%3DAB%20%5C%5C%20%5Ctext%7BAlso%2C%7D%20%5C%5C%20AM%3DMB%20%5C%5C%20%5Ctext%7BWhere%3B%7D%20%5C%5C%20AM%3D3x%2B12%2CMB%3D5x-4%20%5C%5C%20We%5Ctext%7B%20now%20have%3B%7D%20%5C%5C%203x%2B12%3D5x-4%20%5C%5C%20%5Ctext%7BCollect%20all%20like%20terms%3B%7D%20%5C%5C%2012%2B4%3D5x-3x%20%5C%5C%2016%3D2x%20%5C%5C%20%5Ctext%7BDivide%20both%20sides%20by%202%3B%7D%20%5C%5C%20%5Cfrac%7B16%7D%7B2%7D%3D%5Cfrac%7B2x%7D%7B2%7D%20%5C%5C%208%3Dx%20%5Cend%7Bgathered%7D)
Where AM = 3x+12, we now have;
![\begin{gathered} AM=3x+12 \\ AM=3(8)+12 \\ AM=24+12 \\ AM=36 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AM%3D3x%2B12%20%5C%5C%20AM%3D3%288%29%2B12%20%5C%5C%20AM%3D24%2B12%20%5C%5C%20AM%3D36%20%5Cend%7Bgathered%7D)
ANSWER:
Segment AM = 36
I think its b or d if im wrong sorry hoped this helped tho :p
This is a re-entrant hexagon (6 sides)
It can be cut into 4 triangles so the angle sum is 4 x 180 = 720 degrees
x = 720 - 84 - 99 - 157 - 24 - 281 = 75 degrees
The solution and answer are well written in the Pic above.
Given:
The equation is:
![2y=3x-6](https://tex.z-dn.net/?f=2y%3D3x-6)
To find:
The x-intercept and y-intercept of the graph of the given equation.
Solution:
We have,
![2y=3x-6](https://tex.z-dn.net/?f=2y%3D3x-6)
Substitute
to find the x-intercept.
![2(0)=3x-6](https://tex.z-dn.net/?f=2%280%29%3D3x-6)
![0+6=3x](https://tex.z-dn.net/?f=0%2B6%3D3x)
![\dfrac{6}{3}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B3%7D%3Dx)
![2=x](https://tex.z-dn.net/?f=2%3Dx)
So, the x-intercept of the graph of the given equation is 2.
Substitute
to find the y-intercept.
![2y=3(0)-6](https://tex.z-dn.net/?f=2y%3D3%280%29-6)
![2y=-6](https://tex.z-dn.net/?f=2y%3D-6)
![y=\dfrac{-6}{2}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B-6%7D%7B2%7D)
![y=-3](https://tex.z-dn.net/?f=y%3D-3)
So, the y-intercept of the graph of the given equation is -3.
Therefore, the x-intercept is 2 and the y-intercept is -3.