Question

What’s the answer....

Answer 1

x = 10

Explanation:

If the triangles are similar, then the corresponding sides are in proportion:

`(20)/(20+8)=(3x)/(4x+2)`

`(20)/(28)=(3x)/(4x+2)`

`(20:4)/(28:4)=(3x)/(4x+2)`

`(5)/(7)=(3x)/(4x+2)` cross multiply

`5(4x+2)=(7)(3x)` use distributive property a(b + c) = ab + ac

`(5)(4x)+(5)(2)=21x`

`20x+10=21x` subtract 20x from both sides

`10=1x\to x=10`