Question

Find X (step by step)

Answer 1

Explanation:

using similarity and enlargement to evaluate.

hence the formula

=longer distance /smaller distance

x+10/x=15/7

the cross multiply

7(x+10)=15(x)

7x+70=15x

70=15x-7x

70=8x

hence we decide by 8 both sides

x=70/8

x=8.75

that's my suggestion.

Answer 2

`x = 8.75`

Both the triangle are proportional to each other:

`(bigger-side)/(bigger-base) = (smaller-side)/(smaller-base)`

`\hookrightarrow (x+10)/(15) = (x)/(7)`

`\hookrightarrow 7(x+10) =x(15)`

`\hookrightarrow 7x + 70 = 15x`

`\hookrightarrow 15x - 7x = 70`

`\hookrightarrow 8x = 70`

`\hookrightarrow x = 8.75`