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nikklg [1K]
3 years ago
10

What’s the answer....

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

<h2>x = 10</h2>

Step-by-step explanation:

If the triangles are similar, then the corresponding sides are in proportion:

\dfrac{20}{20+8}=\dfrac{3x}{4x+2}

\dfrac{20}{28}=\dfrac{3x}{4x+2}

\dfrac{20:4}{28:4}=\dfrac{3x}{4x+2}

\dfrac{5}{7}=\dfrac{3x}{4x+2}                 <em>cross multiply</em>

5(4x+2)=(7)(3x)        <em>use distributive property </em><em>a(b + c) = ab + ac</em>

(5)(4x)+(5)(2)=21x

20x+10=21x             <em>subtract 20x from both sides</em>

10=1x\to x=10

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