Question

Please help me please I’m stuck please

Answer 1

9

Explanation:

The ratio of 5 to 5+3 is equivalent to the ratio of 15 to 15+x. This is because when you have a triangle inside of a triangle and both of them share two of the same sides and the third sides are parallel to each other, the side ratios of the triangles are always proportionate.

`(5)/(5+3) =(15)/(15+x)` Starting equation

`(5)/(8) =(15)/(15+x)` Simplify

`5(15+x)=8*(15)` Cross multiply

`75+5x=120` Distributive Property on left and simplify on right

`5x=45` Isolate the variable

`x=9` Divide both sides by 5 (Division Property of Equality)

Answer 2

`answer \\ 9 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps`