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Answer:
We get the value of x: x= 2
Step-by-step explanation:
Since the triangles are similar, the ratios of the lengths of corresponding sides are same.
We can use proportions to find the value of x
The proportion will be:
[tex]\frac{BD}{DA}=\frac{BE}{EC}[/tex]
Now putting there values we can find value of x
We have:
BD = 6, DA = 4, BE = x+1, EC =x
Putting values
[tex]\frac{BD}{DA}=\frac{BE}{EC}\\\frac{6}{4}=\frac{x+1}{x} \\Cross\:Multiply\\6x=4(x+1)\\6x=4x+4\\6x-4x=4x+4-4x\\2x=4\\x=\frac{4}{2}\\x=2[/tex]
So, we get the value of x: x= 2