Question

What is the value of y in the diagram? hurry please

Answer 1

The calculated value of y in the diagram is 8

How to determine the value of y in the diagram

From the question, we have the following parameters that can be used in our computation:

The diagram

The triangles are similar

So, we have

y/4 = (y + 4)/6

Cross multiply

This gives

6y = 4y + 16

So, we have

2y = 16

Divide both sides by 2

y = 8

Hence, the value of y is 8

Answer 2

The value of y is
`8\ units`

Explanation:

Applying proportion

`(6+4)/(4)=(y+y+4)/(y)\\ \\(10)/(4)=(2y+4)/(y)\\ \\10y=8y+16\\ \\10y-8y=16\\ \\2y=16\\ \\y=8\ units`