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
54x2-35 would be the equation so... when you solve that we find out Margy is 73 inches tall and that means she or he is 19 inches taller than Zach
A (−3, 1) and B (3, 4)
2 Let A have coordinates (x1, y1). Let (x1, y1) = (−3, 1).
3 Let B have coordinates (x2, y2). Let (x2, y2) = (3, 4).
4 Find the length AB by applying the
formula for the distance between
two points.
AB = "(x2 − x1)2 + (y2 − y1)2
= "[3 − (−3)]2 + (4 − 1)2
= "(6)2 + (3)2
= !36 + 9
= !45
= 3!5
= 6.71 1