Find the value of EB

Step-by-step explanation:

Given,

AD = 38

EB = 7x - 4

FC = 6x - 6

Now, we have to find the value of X

( Mid segment Theorem )

Plug the values

Calculate the difference

Remove the parentheses

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

Collect like terms

Calculate the sum

Divide both sides of the equation by 4

Calculate

The value of X is 5

Now, let's find the value of EB

EB = 7x - 4

Plug the value of X

Calculate the product

Calculate the difference

The value of EB is 31

Hope this helps..

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