Question

Please help me please I’m stuck please

Answer 1

Answer:

9

Step-by-step 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.

$\frac{5}{5+3} =\frac{15}{15+x}$   Starting equation

$\frac{5}{8} =\frac{15}{15+x}$   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

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