Question

Solve for x. Enter your answer in the box. x =

Answer 1

Answer: x=2

Step-by-step explanation:

From the given picture, it can be seen that BE is parallel to CD in triangle ACD.

The basic proportionality theorem says that if a line(BE) is parallel to a side(CD) of a triangle(ACD) which intersects the other two sides (AC and AD) into two distinct points (B and E), then the line divides those sides in proportion.

Thus, we have $\frac{AB}{BC}=\frac{AE}{ED}$

$\frac{36}{12}=\frac{24}{6x-4}\\\\\Rightarrow6x-4=\frac{24\times12}{36}\\\\\Rightarrow6x-4=8\\\\\Rightarrow6x=12\\\\\Rightarrow x=2$

Hence, the value of x= 2

Answer 2

36/12 = 3
so
24/(6x - 4) = 3
3(6x - 4) = 24
18x - 12 = 24
18x = 36
    x = 2