What is the length of AB

Mathematics

2 answers:

Andreas93 [3]2 years ago

6 0

Since line AB and line BC are congruent, you equal them to each, which will give the 'x' to substitute into line AB

$3x = 4x -2$

Subtract -4x from both sides of the equation.

$-x=-2$

Then divide -1 from both sides of the equation.

$x=2$

Then you do 3(2) which is 6.

The answer is B

IgorC [24]2 years ago

6 0

AB and BC are congruent, so 4x-2= 3x, solve for x and you get x=2.

You might be interested in

Find the equation of a line that goes through the points (-3,5) and (5,-11)

Rasek [7]

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1$