Question

PLEASE PLEASE PLEASE HELP ME

Answer 1

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:

$\frac{BD}{DA}=\frac{BE}{EC}$

Now putting there values we can find value of x

We have:

BD = 6, DA = 4, BE = x+1, EC =x

Putting values

$\frac{BD}{DA}=\frac{BE}{EC}\\\frac{6}{4}=\frac{x+1}{x} \\Cross\:Multiply\\6x=4(x+1)\\6x=4x+4\\6x-4x=4x+4-4x\\2x=4\\x=\frac{4}{2}\\x=2$

So, we get the value of x: x= 2