Respuesta :

fieryanswererft

Answer:

[tex]x = 8.75[/tex]

Both the triangle are proportional to each other:

[tex]\dfrac{bigger-side}{bigger-base} = \dfrac{smaller-side}{smaller-base}[/tex]

[tex]\hookrightarrow \dfrac{x+10}{15} = \dfrac{x}{7}[/tex]

[tex]\hookrightarrow 7(x+10) =x(15)[/tex]

[tex]\hookrightarrow 7x + 70 = 15x[/tex]

[tex]\hookrightarrow 15x - 7x = 70[/tex]

[tex]\hookrightarrow 8x = 70[/tex]

[tex]\hookrightarrow x = 8.75[/tex]

mbogapaul2

Step-by-step 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.

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