6 points would be the unit rate for one question.
The base angles of an isosceles triangle are equal
The base angles are 15 degrees, while the vertex angle is 150 degrees
The base angles are given as:
Base = (6a- 3) and (a + 12)
So, we have:
![\mathbf{6a -3 =a + 12}](https://tex.z-dn.net/?f=%5Cmathbf%7B6a%20-3%20%3Da%20%2B%2012%7D)
Collect like terms
![\mathbf{6a -a =3 + 12}](https://tex.z-dn.net/?f=%5Cmathbf%7B6a%20-a%20%3D3%20%2B%2012%7D)
![\mathbf{5a = 15}](https://tex.z-dn.net/?f=%5Cmathbf%7B5a%20%3D%2015%7D)
Divide both sides by 5
![\mathbf{a = 3}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba%20%3D%203%7D)
Substitute 3 for a in Base = (6a- 3),
![\mathbf{Base = 6 \times 3 - 3}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%20%3D%206%20%5Ctimes%203%20-%203%7D)
![\mathbf{Base = 18 - 3}\\](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%20%3D%2018%20-%203%7D%5C%5C)
![\mathbf{Base = 15}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%20%3D%2015%7D)
So, the base angle is 15 degrees.
The vertex angle is calculated using:
![\mathbf{Vertex=180 -2 \times Base}](https://tex.z-dn.net/?f=%5Cmathbf%7BVertex%3D180%20-2%20%5Ctimes%20Base%7D)
So, we have:
![\mathbf{Vertex=180 -2 \times 15}](https://tex.z-dn.net/?f=%5Cmathbf%7BVertex%3D180%20-2%20%5Ctimes%2015%7D)
![\mathbf{Vertex=150 }](https://tex.z-dn.net/?f=%5Cmathbf%7BVertex%3D150%20%7D)
Hence, the vertex angle is 150 degrees
Read more about isosceles triangles at:
brainly.com/question/25739654
In point-slope form, the equation is
.. y = 4(x -2) +20
This can be simplified to
.. y = 4x +12 . . . . . . . . . . . . the required form
Answer:
Step-by-step explanation:
7 x 6 x 4 x 4 x 3= 2016