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zaharov [31]
3 years ago
5

These triangles are similar. find Y and X

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

It these triangles are similar, then the sides of the triangles are in proportion:

\dfrac{y}{10}=\dfrac{y+4}{15}      <em>cross multiply</em>

15y=10(y+4)    <em>use distributive property</em>

15y=10y+40       <em>subtract 10y from both sides</em>

5y=40           <em>divide both sides by 5</em>

\boxed{y=8}


\dfrac{x}{4}=\dfrac{6}{8}            <em>cross multiply</em>

8x=(4)(6)

8x=24           <em>divide both sides by 8</em>

\boxed{x=3}

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