The drawing shows that angles BAD and CAD are congruent, which means that the line segment AD bisects the angle BAC. By the angle bisector theorem,

But AB and AC are also shown to be congruent, so the right hand side reduces to 1, and we have
, which means CD and BD are also congruent.
AD is congruent to itself and happens to be a part of two triangles, ABD and ACD.
So by the side-side-side postulate, the triangles ABD and ACD are congruent, which means corresponding parts (sides and angles) are congruent to each other. And because triangles ABD and ACD are congruent, the "total" triangle ABC is isosceles, and AD must be perpendicular to BC. This last observation means that
.
In any triangle, the interior angles must sum to 180 degrees, so we have

Answer:
5
Step-by-step explanation:
Let the required number be x
![\huge {x}^{9} \div {x}^{6} = 125 \\ \\ \huge {x}^{9 - 6} = 125 \\ \\ \huge {x}^{3} = 125 \\ \\ \huge x = \sqrt[3]{125} \\ \\ \huge x = \sqrt[3]{ {5}^{3} } \\ \\ \huge \red{ x = 5}](https://tex.z-dn.net/?f=%20%5Chuge%20%7Bx%7D%5E%7B9%7D%20%20%5Cdiv%20%20%7Bx%7D%5E%7B6%7D%20%20%3D%20125%20%5C%5C%20%20%5C%5C%20%5Chuge%20%7Bx%7D%5E%7B9%20-%206%7D%20%20%3D%20125%20%5C%5C%20%20%5C%5C%20%5Chuge%20%7Bx%7D%5E%7B3%7D%20%20%3D%20125%20%5C%5C%20%20%5C%5C%20%5Chuge%20x%20%3D%20%20%5Csqrt%5B3%5D%7B125%7D%20%5C%5C%20%20%5C%5C%20%5Chuge%20x%20%3D%20%20%5Csqrt%5B3%5D%7B%20%7B5%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20x%20%3D%205%7D)
Since you have a linear equation, in order to draw its graph you just need two points in the cartesian plain. To find this points solve the equation firstly when y=0 and secondly when x=0. After that you have your two points and all you have to do is connect the corresponding dots.
The third one is the correct graph for the equation
hope it helps !!
Answer: y=3x+12
Step-by-step explanation: because 12 has more value to it than the others