Answer:the length of line segment AC is 14
Step-by-step explanation:
The diagram is shown in the attached photo
Since Angle A B C and B C A are congruent. It means that they are equal. An isosceles triangle is a triangle that has two equal sides and two equal base angles. Since Angle A B C and B C A are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes
3x - 7 = 2x
3x - 2x = 7
x =7
To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes
3×7 - 7 = 21 - 7 = 14
The slope of a line is constant because the acceleration is equal to zero.
The slope of a line is always just (y2-y1)/(x2-x1), so in this case:
m=(-7-6)/(4--6)
m=-13/10
m=-1.3
The equation has no solution
The distance formula is d=√(x2-x1)² + (y2-y1)²
So... d =8.06226
Hope this helps