Δ ABC -Δ EDC
What is the value of x?

Answer:
x=11
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
36 6x-6
------------- = --------------
24 3x+7
Using cross products
36(3x+7) = 24(6x-6)
108x +252 = 144x - 144
Subtract 108x from each side
108x-108x +252 = 144x-108x - 144
252 =36x -144
Add 144 to each side
252+144 = 36x-144+144
396 =36x
Divide by 36
396/36 =36x/36
11 =x
Answer:
x = 11
Step-by-step explanation:
Similar figures have sides in the same ratio
24/36 = (3x + 7)/(6x - 6)
2/3 = (3x + 7)/(6x - 6)
12x - 12 = 9x + 21
3x = 33
x = 11